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Note: 66

Paper Platonic Solids

https://en.wikipedia.org/wiki/Regular_polyhedron

Building the 5 Platonic solids: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron

Code: 27 () 

from dataclasses import dataclass
from IPython.display import SVG, display
import math

Code: 145 () 

@dataclass
class Shape:
    verts: list
    def edge(self, i, j=None):
        if j is None: j = (i + 1) % len(self.verts)
        return self.verts[i], self.verts[j]
    def flap(self, i, j=None, depth=15, taper=0.7):
        a, b = self.edge(i, j)
        return flap_svg(a, b, depth, taper)

Code: 724 () 

def grow_triangle(edge, flip=False):
    a, b = edge
    c = third_vertex(a, b, flip)
    return Shape([a, b, c])

def grow_pentagon(edge, side, flip=False):
    cx, cy, rot = pentagon_from_edge(edge[0], edge[1], side, flip)
    return Shape(pentagon_verts(cx, cy, rot, side))

def grow_square(edge, flip=False):
    a, b = edge
    dx, dy = b[0]-a[0], b[1]-a[1]
    sign = -1 if flip else 1
    c, d = (b[0] + sign*(-dy), b[1] + sign*dx), (a[0] + sign*(-dy), a[1] + sign*dx)
    return Shape([a, b, c, d])
 
def pentagon_verts(cx, cy, rot, side):
    "Return 5 vertices of regular pentagon centered at (cx,cy) with given side length"
    R = side / (2 * math.sin(math.radians(36)))
    return [(cx + R*math.cos(math.radians(72*i + rot)), cy + R*math.sin(math.radians(72*i + rot))) for i in range(5)]

def pentagon_from_edge(p1, p2, side, flip=False):
    "Return center and rotation for pentagon sharing edge p1-p2"
    mx, my = (p1[0]+p2[0])/2, (p1[1]+p2[1])/2
    dx, dy = p2[0]-p1[0], p2[1]-p1[1]
    length = math.sqrt(dx*dx + dy*dy)
    px, py = -dy/length, dx/length
    apothem = side / (2 * math.tan(math.radians(36)))
    sign = -1 if flip else 1
    cx, cy = mx + sign*px*apothem, my + sign*py*apothem
    rot = math.degrees(math.atan2(dy, dx)) + 90 + (180 if flip else 0)
    return cx, cy, rot

Code: 364 () 

def flap_svg(a, b, depth=15, taper=0.7, stroke="black", fill="none", sw=2):
    "Trapezoid flap attached to edge a-b, pointing outward"
    dx, dy = b[0]-a[0], b[1]-a[1]
    length = math.sqrt(dx*dx + dy*dy)
    px, py = -dy/length, dx/length
    inset = (1-taper) * length / 2
    c = (b[0]+px*depth - dx/length*inset, b[1]+py*depth - dy/length*inset)
    d = (a[0]+px*depth + dx/length*inset, a[1]+py*depth + dy/length*inset)
    pts = f"{a[0]},{a[1]} {b[0]},{b[1]} {c[0]},{c[1]} {d[0]},{d[1]}"
    return f'<polygon points="{pts}" fill="{fill}" stroke="{stroke}" stroke-width="{sw}"/>'

Code: 202 () 

def svg_bounds(pts_list, pad=20):
    all_pts = [p for pts in pts_list for p in pts]
    xs, ys = [p[0] for p in all_pts], [p[1] for p in all_pts]
    min_x, max_x, min_y, max_y = min(xs), max(xs), min(ys), max(ys)
    w, h = max_x - min_x + 2*pad, max_y - min_y + 2*pad
    ox, oy = -min_x + pad, -min_y + pad
    return w, h, ox, oy

Code: 264 () 

def shape_svg(s, stroke="black", fill="none", sw=2):
    pts = " ".join(f"{p[0]},{p[1]}" for p in s.verts)
    return f'<polygon points="{pts}" fill="{fill}" stroke="{stroke}" stroke-width="{sw}"/>'

s0 = Shape(pentagon_verts(0, 0, -90, 80))
w, h, ox, oy = svg_bounds([s0.verts])
def offset(p): return (p[0]+ox, p[1]+oy)
s0_off = Shape([offset(p) for p in s0.verts])

svg = f'<svg width="{w}" height="{h}" xmlns="http://www.w3.org/2000/svg">{shape_svg(s0_off)}</svg>'
display(SVG(svg))

Output: 30

Code: 81 () 

def label_svg(p, text, dx=0, dy=-8, size=12):
    return f'<text x="{p[0]+dx}" y="{p[1]+dy}" font-size="{size}" text-anchor="middle">{text}</text>'

Code: 40 

from pathlib import Path

def save_svg(svg, path): Path(path).write_text(svg)

save_svg(svg, 'triangle.svg')

Code: 346 () 

import math

def third_vertex(a, b, flip=False):
    """Given edge (a,b), return third vertex of equilateral triangle
    using Pythagorean theorem says: (s/2)² + h² = s²
    we can derive h  = s × √3 / 2
    """
    mx, my = (a[0]+b[0])/2, (a[1]+b[1])/2
    dx, dy = b[0]-a[0], b[1]-a[1]
    h = math.sqrt(3)/2 * math.sqrt(dx*dx + dy*dy)
    px, py = -dy, dx
    length = math.sqrt(px*px + py*py)
    px, py = px/length, py/length
    sign = -1 if flip else 1
    return (mx + sign*px*h, my + sign*py*h)

a, b = (0, 0), (100, 0)
third_vertex(a, b), third_vertex(a, b, flip=True)

Output: 55 

((50.0, 86.60254037844386), (50.0, -86.60254037844386))

Note: 7

LLM Build

Code: 2,220 () 

from dataclasses import dataclass, field
from typing import Literal

@dataclass
class NetBuilder:
    """Interactive builder for platonic solid nets"""
    shapes: list[Shape] = field(default_factory=list)
    flaps: list[str] = field(default_factory=list)
    side: float = 100
    flap_depth: float = 15
    flap_taper: float = 0.7
    
    def add_triangle(self, edge: tuple, flip: bool = False) -> int:
        """Grow a triangle from an edge. Returns shape index."""
        s = grow_triangle(edge, flip)
        self.shapes.append(s)
        return len(self.shapes) - 1
    
    def add_square(self, edge: tuple, flip: bool = False) -> int:
        """Grow a square from an edge. Returns shape index."""
        s = grow_square(edge, flip)
        self.shapes.append(s)
        return len(self.shapes) - 1
    
    def add_pentagon(self, edge: tuple, flip: bool = False) -> int:
        """Grow a pentagon from an edge. Returns shape index."""
        s = grow_pentagon(edge, self.side, flip)
        self.shapes.append(s)
        return len(self.shapes) - 1
    
    def start_triangle(self, flip: bool = False) -> int:
        """Start with a triangle at origin."""
        return self.add_triangle(((0, 0), (self.side, 0)), flip)
    
    def start_square(self, flip: bool = False) -> int:
        """Start with a square at origin."""
        return self.add_square(((0, 0), (self.side, 0)), flip)
    
    def start_pentagon(self, flip: bool = False) -> int:
        """Start with a pentagon at origin."""
        return self.add_pentagon(((0, 0), (self.side, 0)), flip)
    
    def grow(self, shape_idx: int, edge_start: int, edge_end: int = None, 
             shape_type: Literal['triangle', 'square', 'pentagon'] = 'triangle',
             flip: bool = False) -> int:
        """Grow a new shape from an edge of existing shape. Returns new shape index."""
        edge = self.shapes[shape_idx].edge(edge_start, edge_end)
        if shape_type == 'triangle':
            return self.add_triangle(edge, flip)
        elif shape_type == 'square':
            return self.add_square(edge, flip)
        else:
            return self.add_pentagon(edge, flip)
    
    def add_flap(self, shape_idx: int, edge_start: int, edge_end: int = None):
        """Add a glue flap to an edge."""
        # We'll compute this at render time using offset shapes
        self.flaps.append((shape_idx, edge_start, edge_end))
    
    def remove_shape(self, idx: int):
        """Remove a shape by index."""
        if 0 <= idx < len(self.shapes):
            self.shapes.pop(idx)
            # Adjust flap references
            self.flaps = [(s, e1, e2) for s, e1, e2 in self.flaps if s != idx]
            self.flaps = [(s-1 if s > idx else s, e1, e2) for s, e1, e2 in self.flaps]
    
    def remove_flap(self, idx: int):
        """Remove a flap by index."""
        if 0 <= idx < len(self.flaps):
            self.flaps.pop(idx)
    
    def clear_flaps(self):
        """Remove all flaps."""
        self.flaps = []
    
    def reset(self):
        """Clear everything."""
        self.shapes = []
        self.flaps = []
    
    def info(self) -> str:
        """Get current state info."""
        lines = [f"NetBuilder: {len(self.shapes)} shapes, {len(self.flaps)} flaps"]
        for i, s in enumerate(self.shapes):
            n = len(s.verts)
            kind = {3: 'triangle', 4: 'square', 5: 'pentagon'}.get(n, f'{n}-gon')
            lines.append(f"  [{i}] {kind} - edges: {list(range(n))}")
        if self.flaps:
            lines.append(f"  Flaps: {self.flaps}")
        return "\n".join(lines)
    
    def render(self, labels: bool = False, pad: float = 25) -> SVG:
        """Render current net as SVG."""
        if not self.shapes:
            return SVG('<svg width="100" height="50"><text x="10" y="30">Empty net</text></svg>')
        
        w, h, ox, oy = svg_bounds([s.verts for s in self.shapes], pad=pad)
        def offset(p): return (p[0]+ox, p[1]+oy)
        shapes_off = [Shape([offset(p) for p in s.verts]) for s in self.shapes]
        
        parts = [shape_svg(s) for s in shapes_off]
        
        # Add flaps
        for shape_idx, e1, e2 in self.flaps:
            if shape_idx < len(shapes_off):
                parts.append(shapes_off[shape_idx].flap(e1, e2, self.flap_depth, self.flap_taper))
        
        # Add labels if requested
        if labels:
            for i, s in enumerate(shapes_off):
                cx = sum(p[0] for p in s.verts) / len(s.verts)
                cy = sum(p[1] for p in s.verts) / len(s.verts)
                parts.append(f'<text x="{cx}" y="{cy}" font-size="14" text-anchor="middle" fill="blue">{i}</text>')
                for j, p in enumerate(s.verts):
                    # Offset label toward centroid (inside the angle)
                    dx, dy = cx - p[0], cy - p[1]
                    dist = math.sqrt(dx*dx + dy*dy)
                    offset_dist = 15
                    lx = p[0] + dx/dist * offset_dist
                    ly = p[1] + dy/dist * offset_dist
                    parts.append(f'<text x="{lx}" y="{ly}" font-size="10" text-anchor="middle" dominant-baseline="middle" fill="red">{j}</text>')

        
        svg = f'<svg width="{w}" height="{h}" xmlns="http://www.w3.org/2000/svg">{"".join(parts)}</svg>'
        return SVG(svg)
    
    def show(self, labels: bool = False):
        """Display the current net."""
        display(self.render(labels))

# Quick test
net = NetBuilder()
net.start_triangle()
net.grow(0, 1, 2, flip=True)
net.show(labels=True)
print(net.info())

Output: 114

00121012 
NetBuilder: 2 shapes, 0 flaps
  [0] triangle - edges: [0, 1, 2]
  [1] triangle - edges: [0, 1, 2]

Note: 3

Tools

Code: 1,156 () 

from typing import Literal

# Global state for the net builder
_net = NetBuilder()

def net_reset() -> str:
    """Reset the net builder, clearing all shapes and flaps."""
    _net.reset()
    return "Net reset. Ready to start building."

def net_start(shape: Literal['triangle', 'square', 'pentagon'], flip: bool = False) -> str:
    """Start a new net with an initial shape at the origin.
    
    Args:
        shape: Type of shape - 'triangle', 'square', or 'pentagon'
        flip: If True, flip the shape orientation
    """
    _net.reset()
    if shape == 'triangle':
        idx = _net.start_triangle(flip)
    elif shape == 'square':
        idx = _net.start_square(flip)
    else:
        idx = _net.start_pentagon(flip)
    return f"Started with {shape} at index {idx}.\n{_net.info()}"

def net_grow(from_shape: int, edge_start: int, edge_end: int, 
             shape: Literal['triangle', 'square', 'pentagon'] = 'triangle',
             flip: bool = False) -> str:
    """Grow a new shape from an edge of an existing shape.
    
    Args:
        from_shape: Index of the shape to grow from
        edge_start: First vertex index of the edge
        edge_end: Second vertex index of the edge
        shape: Type of shape to grow
        flip: If True, flip the new shape orientation
    """
    try:
        idx = _net.grow(from_shape, edge_start, edge_end, shape, flip)
        return f"Added {shape} at index {idx}.\n{_net.info()}"
    except Exception as e:
        return f"Error: {e}\n{_net.info()}"

def net_add_flap(shape_idx: int, edge_start: int, edge_end: int) -> str:
    """Add a glue flap to an edge of a shape.
    
    Args:
        shape_idx: Index of the shape
        edge_start: First vertex index of the edge
        edge_end: Second vertex index of the edge
    """
    _net.add_flap(shape_idx, edge_start, edge_end)
    return f"Added flap to shape {shape_idx} edge ({edge_start},{edge_end}).\n{_net.info()}"

def net_remove_shape(idx: int) -> str:
    """Remove a shape by its index.
    
    Args:
        idx: Index of the shape to remove
    """
    _net.remove_shape(idx)
    return f"Removed shape {idx}.\n{_net.info()}"

def net_remove_flap(idx: int) -> str:
    """Remove a flap by its index in the flaps list.
    
    Args:
        idx: Index of the flap to remove
    """
    _net.remove_flap(idx)
    return f"Removed flap {idx}.\n{_net.info()}"

def net_clear_flaps() -> str:
    """Remove all flaps from the net."""
    _net.clear_flaps()
    return f"Cleared all flaps.\n{_net.info()}"

def net_info() -> str:
    """Get information about the current net state, including shape indices and edges."""
    return _net.info()

def net_show(labels: bool = True) -> str:
    """Display the current net as SVG. Blue numbers are shape indices, red are vertex indices.
    
    Args:
        labels: If True, show shape and vertex labels
    """
    _net.show(labels)
    return _net.info()

Note: 6

Tetrahedron

Code: 156 () 

net_start('triangle', flip=False)
net_grow(0, 0, 2, 'triangle', flip=False)
net_grow(1, 2, 0, 'triangle', flip=True)
net_grow(2, 2, 0, 'triangle', flip=False)
net_add_flap(1, 2, 1)
net_add_flap(0, 1, 0)
net_add_flap(3, 0, 2)
net_show()

Output: 228

0012101220123012 
'NetBuilder: 4 shapes, 3 flaps\n  [0] triangle - edges: [0, 1, 2]\n  [1] triangle - edges: [0, 1, 2]\n  [2] triangle - edges: [0, 1, 2]\n  [3] triangle - edges: [0, 1, 2]\n  Flaps: [(1, 2, 1), (0, 1, 0), (3, 0, 2)]'

Prompt: 214

Help me build this Tetrahedron:

pasted_image

Use tools: &net_reset, net_start, net_grow, net_add_flap, net_remove_shape, net_remove_flap, net_clear_flaps, net_info, net_show

Build the main shape first, decide where to grow the next shape based on the edge labels. Build flaps last. Always check edge label before putting the flap down.

Output the code that I can reproduce.

Assistant: 3,214

I'll build the tetrahedron net step by step. Let me start with the first triangle and check the edge labels:

Copied!
{
  "id": "toolu_0167kf8LeP1awgYhggrhGcce",
  "call": {
    "function": "net_start",
    "arguments": {
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Started with triangle at index 0.\\nNetBuilder: 1 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_012JDT4gQQYJFMNkVGq8cuZF",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 1 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]'"
}

Now I'll grow triangles on the left and right edges to match the image pattern:

Copied!
{
  "id": "toolu_0151izbSHDjVsWg4yg9qiYXa",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "0",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 1.\\nNetBuilder: 2 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_0136H7UmA1NdLeKnwwzVopJq",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "1",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 2.\\nNetBuilder: 3 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01SD7ZFJjbzHEGMoyU5RVdHA",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 3 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]'"
}

Now I'll add the bottom triangle growing from shape 1:

Copied!
{
  "id": "toolu_015sR2aCLSkTeazjv9MsDF6E",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 3.\\nNetBuilder: 4 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01RkfXaY3Wpe3Y9HoBikm1Jk",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 4 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]'"
}

Now I'll add the flaps on the outer edges:

Copied!
{
  "id": "toolu_01XqeAvNadxbn1cLQjYH8jJF",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "1",
      "edge_start": "0",
      "edge_end": "1"
    }
  },
  "result": "'Added flap to shape 1 edge (0,1).\\nNetBuilder: 4 shapes, 1 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  Flaps: [(1, 0, 1)]'"
}
Copied!
{
  "id": "toolu_017D9uaiRoYfFxcag2PLGHmR",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "2",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 2 edge (1,2).\\nNetBuilder: 4 shapes, 2 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  Flaps: [(1, 0, 1), (2, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01JoktpNTTqm7DFvUwew2QhU",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "3",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 3 edge (1,2).\\nNetBuilder: 4 shapes, 3 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  Flaps: [(1, 0, 1), (2, 1, 2), (3, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01DZ9GPYJuLF2cZCCv4xW6kL",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 4 shapes, 3 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  Flaps: [(1, 0, 1), (2, 1, 2), (3, 1, 2)]'"
}

Here's the complete code to reproduce:

Copied!
net_start('triangle', flip=False)
net_grow(0, 0, 2, 'triangle', flip=False)
net_grow(0, 1, 0, 'triangle', flip=False)
net_grow(1, 1, 2, 'triangle', flip=False)
net_add_flap(1, 0, 1)
net_add_flap(2, 1, 2)
net_add_flap(3, 1, 2)
net_show()

Code: 156 () 

net_start('triangle', flip=False)
net_grow(0, 0, 2, 'triangle', flip=False)
net_grow(0, 1, 0, 'triangle', flip=False)
net_grow(1, 1, 2, 'triangle', flip=False)
net_add_flap(1, 0, 1)
net_add_flap(2, 1, 2)
net_add_flap(3, 1, 2)
net_show()

Output: 228

0012101220123012 
'NetBuilder: 4 shapes, 3 flaps\n  [0] triangle - edges: [0, 1, 2]\n  [1] triangle - edges: [0, 1, 2]\n  [2] triangle - edges: [0, 1, 2]\n  [3] triangle - edges: [0, 1, 2]\n  Flaps: [(1, 0, 1), (2, 1, 2), (3, 1, 2)]'

Note: 3

Cube

Prompt: 211

Help me build this Cube: pasted_image

Use tools: &net_reset, net_start, net_grow, net_add_flap, net_remove_shape, net_remove_flap, net_clear_flaps, net_info, net_show

Build the main shape first, decide where to grow the next shape based on the edge labels. Build flaps last. Always check edge label before putting the flap down.

Output the code that I can reproduce.

Assistant: 7,833

I'll build the cube net step by step. Let me start with the central square and check the edge labels:

Copied!
{
  "id": "toolu_019xHMjC3g9MrLyBd1uvRWn6",
  "call": {
    "function": "net_start",
    "arguments": {
      "shape": "square",
      "flip": "False"
    }
  },
  "result": "'Started with square at index 0.\\nNetBuilder: 1 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]'"
}
Copied!
{
  "id": "toolu_019UevEaRg7Zy35hKqeNyf9d",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 1 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]'"
}

Now I'll grow squares on each side to form the cross shape. Starting with the top:

Copied!
{
  "id": "toolu_01PQ7hqVLiuPff9HVTapeUk1",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "square",
      "flip": "False"
    }
  },
  "result": "'Added square at index 1.\\nNetBuilder: 2 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]'"
}
Copied!
{
  "id": "toolu_01CZby6K2dXJqN1kRqkt9wQX",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "3",
      "edge_end": "0",
      "shape": "square",
      "flip": "False"
    }
  },
  "result": "'Added square at index 2.\\nNetBuilder: 3 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]'"
}
Copied!
{
  "id": "toolu_01URMGaTBWhowLzB6oTWg6ij",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 3 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]'"
}

Adding the left and right squares from the top square (shape 1):

Copied!
{
  "id": "toolu_01PJBhmYZPfK1zcpwyXbyK9W",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "square",
      "flip": "False"
    }
  },
  "result": "'Added square at index 3.\\nNetBuilder: 4 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]'"
}
Copied!
{
  "id": "toolu_0119KKKbnT87iBFfnA46KVtg",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "3",
      "edge_end": "0",
      "shape": "square",
      "flip": "False"
    }
  },
  "result": "'Added square at index 4.\\nNetBuilder: 5 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]'"
}
Copied!
{
  "id": "toolu_01LdtfrNR9XyfZiCRtBiWfdz",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 5 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]'"
}

Now adding the bottom square from shape 2:

Copied!
{
  "id": "toolu_0132JHkYkJ5AKBBfdAsFoF7Z",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "2",
      "edge_start": "3",
      "edge_end": "0",
      "shape": "square",
      "flip": "False"
    }
  },
  "result": "'Added square at index 5.\\nNetBuilder: 6 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]'"
}
Copied!
{
  "id": "toolu_01K3kDm5d1TumoJ6vC2WQEbD",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 6 shapes, 0 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]'"
}

Now adding the flaps on the outer edges:

Copied!
{
  "id": "toolu_01Lz3crry471MCNjvnz6Cyuw",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "3",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 3 edge (1,2).\\nNetBuilder: 6 shapes, 1 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01Uh6BQ7nEKa48EadrJ8QPuH",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "3",
      "edge_start": "2",
      "edge_end": "3"
    }
  },
  "result": "'Added flap to shape 3 edge (2,3).\\nNetBuilder: 6 shapes, 2 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3)]'"
}
Copied!
{
  "id": "toolu_013ZYCu2uRnKogCxuboBY1zZ",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "3",
      "edge_start": "3",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 3 edge (3,0).\\nNetBuilder: 6 shapes, 3 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0)]'"
}
Copied!
{
  "id": "toolu_01Jyv9wq8tbL7uzHSUuNnjY2",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "4",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 4 edge (1,2).\\nNetBuilder: 6 shapes, 4 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01M4sqU7Vbti4XRciUTzLcfC",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "4",
      "edge_start": "2",
      "edge_end": "3"
    }
  },
  "result": "'Added flap to shape 4 edge (2,3).\\nNetBuilder: 6 shapes, 5 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3)]'"
}
Copied!
{
  "id": "toolu_01DapLriX5DYZCwWPk7SXaLi",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "4",
      "edge_start": "3",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 4 edge (3,0).\\nNetBuilder: 6 shapes, 6 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3), (4, 3, 0)]'"
}
Copied!
{
  "id": "toolu_01XWbPwQ2uDD58gKDXxEUiYb",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "5",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 5 edge (1,2).\\nNetBuilder: 6 shapes, 7 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3), (4, 3, 0), (5, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01FSWwB2b6Xi6vL6YnkoEtsq",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "5",
      "edge_start": "2",
      "edge_end": "3"
    }
  },
  "result": "'Added flap to shape 5 edge (2,3).\\nNetBuilder: 6 shapes, 8 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3), (4, 3, 0), (5, 1, 2), (5, 2, 3)]'"
}
Copied!
{
  "id": "toolu_01KeXab6txkPMaJkTKjkfKZy",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "5",
      "edge_start": "3",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 5 edge (3,0).\\nNetBuilder: 6 shapes, 9 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3), (4, 3, 0), (5, 1, 2), (5, 2, 3), (5, 3, 0)]'"
}
Copied!
{
  "id": "toolu_01KJuThGhFyt6HPi8FbiqVLM",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 6 shapes, 9 flaps\\n  [0] square - edges: [0, 1, 2, 3]\\n  [1] square - edges: [0, 1, 2, 3]\\n  [2] square - edges: [0, 1, 2, 3]\\n  [3] square - edges: [0, 1, 2, 3]\\n  [4] square - edges: [0, 1, 2, 3]\\n  [5] square - edges: [0, 1, 2, 3]\\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3), (4, 3, 0), (5, 1, 2), (5, 2, 3), (5, 3, 0)]'"
}

Here's the complete code to reproduce:

Copied!
net_start('square', flip=False)
net_grow(0, 1, 2, 'square', flip=False)
net_grow(0, 3, 0, 'square', flip=False)
net_grow(1, 1, 2, 'square', flip=False)
net_grow(1, 3, 0, 'square', flip=False)
net_grow(2, 3, 0, 'square', flip=False)
net_add_flap(3, 1, 2)
net_add_flap(3, 2, 3)
net_add_flap(3, 3, 0)
net_add_flap(4, 1, 2)
net_add_flap(4, 2, 3)
net_add_flap(4, 3, 0)
net_add_flap(5, 1, 2)
net_add_flap(5, 2, 3)
net_add_flap(5, 3, 0)
net_show()

Code: 327 () 

net_start('square', flip=False)
net_grow(0, 1, 2, 'square', flip=False)
net_grow(0, 3, 0, 'square', flip=False)
net_grow(1, 1, 2, 'square', flip=False)
net_grow(1, 3, 0, 'square', flip=False)
net_grow(2, 3, 0, 'square', flip=False)
net_add_flap(3, 1, 2)
net_add_flap(3, 2, 3)
net_add_flap(3, 3, 0)
net_add_flap(4, 1, 2)
net_add_flap(4, 2, 3)
net_add_flap(4, 3, 0)
net_add_flap(5, 1, 2)
net_add_flap(5, 2, 3)
net_add_flap(5, 3, 0)
net_show()

Output: 390

001231012320123301234012350123 
'NetBuilder: 6 shapes, 9 flaps\n  [0] square - edges: [0, 1, 2, 3]\n  [1] square - edges: [0, 1, 2, 3]\n  [2] square - edges: [0, 1, 2, 3]\n  [3] square - edges: [0, 1, 2, 3]\n  [4] square - edges: [0, 1, 2, 3]\n  [5] square - edges: [0, 1, 2, 3]\n  Flaps: [(3, 1, 2), (3, 2, 3), (3, 3, 0), (4, 1, 2), (4, 2, 3), (4, 3, 0), (5, 1, 2), (5, 2, 3), (5, 3, 0)]'

Prompt: 3

Cube

Assistant: 43

Perfect! The cube net is complete with all 6 squares arranged in a T-shape and flaps on the outer edges ready for assembly.

Prompt: 208

Build this cube: pasted_image

Use tools: &net_reset, net_start, net_grow, net_add_flap, net_remove_shape, net_remove_flap, net_clear_flaps, net_info, net_show

Build the main shape first, decide where to grow the next shape based on the edge labels. Build flaps last. Always check edge label before putting the flap down.

Output the code that I can reproduce.

Assistant: 7,813

I'll build this Octahedron net step by step. Looking at the image, I see 8 triangles with flaps on the outer edges.

Copied!
{
  "id": "toolu_01CL6qq3Xonfjx97qYeWukmd",
  "call": {
    "function": "net_start",
    "arguments": {
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Started with triangle at index 0.\\nNetBuilder: 1 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01UawrpkDDtcwZBeVcBEWSr8",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 1 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_0142BbecbVGYWYNm6prEpTGf",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 1.\\nNetBuilder: 2 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01REKPT3QrBQ5BocSSHApz2T",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 2.\\nNetBuilder: 3 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01FywRMjnkMC3V5JX44ZnRuG",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "2",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 3.\\nNetBuilder: 4 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_017peGKZaz9hUAJXwhC1Uo3g",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "3",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 4.\\nNetBuilder: 5 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01VwfGHFxeS4kSNmWWbYigzV",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "4",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 5.\\nNetBuilder: 6 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01MKUQMRc1ai2GouE6ijYvY9",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "5",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 6.\\nNetBuilder: 7 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01SxJkCRCVdHWqBp6FPXLXaF",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 7.\\nNetBuilder: 8 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01HkmmS5pVuHXQt73JB9CEyh",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 8 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]'"
}

Now adding the flaps on the outer edges:

Copied!
{
  "id": "toolu_0151eBKxzxeQJmiTrFNYUsXh",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "2",
      "edge_start": "2",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 2 edge (2,0).\\nNetBuilder: 8 shapes, 1 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0)]'"
}
Copied!
{
  "id": "toolu_01WsgvLkdC763xFugLL7qc6n",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "3",
      "edge_start": "2",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 3 edge (2,0).\\nNetBuilder: 8 shapes, 2 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0)]'"
}
Copied!
{
  "id": "toolu_01XU1RYirnYAsmp5wrrTJ1Se",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "4",
      "edge_start": "2",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 4 edge (2,0).\\nNetBuilder: 8 shapes, 3 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0)]'"
}
Copied!
{
  "id": "toolu_012qJBE9SZ5iRauEeCd6qaJx",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "5",
      "edge_start": "2",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 5 edge (2,0).\\nNetBuilder: 8 shapes, 4 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0), (5, 2, 0)]'"
}
Copied!
{
  "id": "toolu_01TNymXR8xQD9hE9mRNYD3NA",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "6",
      "edge_start": "2",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 6 edge (2,0).\\nNetBuilder: 8 shapes, 5 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0), (5, 2, 0), (6, 2, 0)]'"
}
Copied!
{
  "id": "toolu_01B6zEqS5LE5X2HXfg87EiJj",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "6",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 6 edge (1,2).\\nNetBuilder: 8 shapes, 6 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0), (5, 2, 0), (6, 2, 0), (6, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01GQEPdbqKToQgowUWz2mdbD",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "7",
      "edge_start": "2",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 7 edge (2,0).\\nNetBuilder: 8 shapes, 7 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0), (5, 2, 0), (6, 2, 0), (6, 1, 2), (7, 2, 0)]'"
}
Copied!
{
  "id": "toolu_013aSScNwY6zJk2ESEyJ6fyu",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "7",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 7 edge (1,2).\\nNetBuilder: 8 shapes, 8 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0), (5, 2, 0), (6, 2, 0), (6, 1, 2), (7, 2, 0), (7, 1, 2)]'"
}
Copied!
{
  "id": "toolu_01Jxo5uwMzBy43vzyqLdZMiu",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "False"
    }
  },
  "result": "'NetBuilder: 8 shapes, 8 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  Flaps: [(2, 2, 0), (3, 2, 0), (4, 2, 0), (5, 2, 0), (6, 2, 0), (6, 1, 2), (7, 2, 0), (7, 1, 2)]'"
}

Here's the code to reproduce:

Copied!
net = NetBuilder()
net.start_triangle(flip=False)
net.grow(0, 2, 0, 'triangle', flip=True)   # Shape 1 - left of top
net.grow(0, 1, 2, 'triangle', flip=True)   # Shape 2 - right of top
net.grow(2, 1, 2, 'triangle', flip=False)  # Shape 3
net.grow(3, 1, 2, 'triangle', flip=True)   # Shape 4
net.grow(4, 1, 2, 'triangle', flip=False)  # Shape 5
net.grow(5, 1, 2, 'triangle', flip=True)   # Shape 6
net.grow(1, 1, 2, 'triangle', flip=False)  # Shape 7 - top triangle

net.add_flap(2, 2, 0)
net.add_flap(3, 2, 0)
net.add_flap(4, 2, 0)
net.add_flap(5, 2, 0)
net.add_flap(6, 2, 0)
net.add_flap(6, 1, 2)
net.add_flap(7, 2, 0)
net.add_flap(7, 1, 2)

net.show()

Code: 447 () 

net = NetBuilder()
net.start_triangle(flip=False)
net.grow(0, 2, 0, 'triangle', flip=True)   # Shape 1 - left of top
net.grow(0, 1, 2, 'triangle', flip=True)   # Shape 2 - right of top
net.grow(2, 1, 2, 'triangle', flip=False)  # Shape 3
net.grow(3, 1, 2, 'triangle', flip=True)   # Shape 4
net.grow(4, 1, 2, 'triangle', flip=False)  # Shape 5
net.grow(5, 1, 2, 'triangle', flip=True)   # Shape 6
net.grow(1, 1, 2, 'triangle', flip=False)  # Shape 7 - top triangle

net.add_flap(2, 2, 0)
net.add_flap(3, 2, 0)
net.add_flap(4, 2, 0)
net.add_flap(5, 2, 0)
net.add_flap(6, 2, 0)
net.add_flap(6, 1, 2)
net.add_flap(7, 2, 0)
net.add_flap(7, 1, 2)

net.show()

Output: 30

Note: 7

Dodecahedron

Note: 0

Prompt: 229

Help me build a dodecahedron template that looks like this: pasted_image

Use tools: &net_reset, net_start, net_grow, net_add_flap, net_remove_shape, net_remove_flap, net_clear_flaps, net_info, net_show

Build the main shape first, decide where to grow the next shape based on the edge labels. Build flaps last. Always check edge label before putting the flap down.

Output the code that I can reproduce.

Assistant: 20,212

I'll build this dodecahedron net step by step. It has 12 pentagons arranged in a specific pattern.

Copied!
{
  "id": "toolu_01PvjhnVeoQ2KBXghLcmQT5U",
  "call": {
    "function": "net_start",
    "arguments": {
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Started with pentagon at index 0.\\nNetBuilder: 1 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01CheuMo9fUjZQZRbnBtqURj",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 1 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01NrTqw9oDWdtDW2ABj1jvsT",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "0",
      "edge_end": "1",
      "shape": "pentagon",
      "flip": "True"
    }
  },
  "result": "'Added pentagon at index 1.\\nNetBuilder: 2 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01DXNoryGRJ8z7h8xcQeWnps",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "pentagon",
      "flip": "True"
    }
  },
  "result": "'Added pentagon at index 2.\\nNetBuilder: 3 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_012V2sjXsbz2qMm7UjVBvRVa",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "True"
    }
  },
  "result": "'Added pentagon at index 3.\\nNetBuilder: 4 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01UEUaegviRE1QpybQDiz5Cc",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "3",
      "edge_end": "4",
      "shape": "pentagon",
      "flip": "True"
    }
  },
  "result": "'Added pentagon at index 4.\\nNetBuilder: 5 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01Kaa4GCZsCnixsnpSoKYX5N",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "4",
      "edge_end": "0",
      "shape": "pentagon",
      "flip": "True"
    }
  },
  "result": "'Added pentagon at index 5.\\nNetBuilder: 6 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01R24BhTF94wKmnK1ExSiaLq",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 6 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]'"
}

Good, I have a flower of 6 pentagons. Now I need to add 6 more pentagons on the outer edges:

Copied!
{
  "id": "toolu_0167Tjgo1j4k2qDsnf1xQRhp",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Added pentagon at index 6.\\nNetBuilder: 7 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01MPc9DwYmFDpYkvk5hcvbwG",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "2",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Added pentagon at index 7.\\nNetBuilder: 8 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01M3WucWpxMR9E2qFoBrSC7w",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "3",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Added pentagon at index 8.\\nNetBuilder: 9 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01B8PRC1Rghp8HhDpafhTdR4",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "4",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Added pentagon at index 9.\\nNetBuilder: 10 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01XqB9H6WLugQNGHUcB6Sc5Y",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "5",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Added pentagon at index 10.\\nNetBuilder: 11 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01LjeEVqpiiiathC2XVKDU6m",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "6",
      "edge_start": "2",
      "edge_end": "3",
      "shape": "pentagon",
      "flip": "False"
    }
  },
  "result": "'Added pentagon at index 11.\\nNetBuilder: 12 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]'"
}
Copied!
{
  "id": "toolu_01S1J4ErDm5XmtvAygobqC8J",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 12 shapes, 0 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]'"
}

Now I'll add all the flaps on the outer edges:

Copied!
{
  "id": "toolu_011ATV6JRkfwfuNiRy5R7T4F",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "1",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 1 edge (3,4).\\nNetBuilder: 12 shapes, 1 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4)]'"
}
Copied!
{
  "id": "toolu_016hckxP7aYgTy8kaZ347GP2",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "2",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 2 edge (3,4).\\nNetBuilder: 12 shapes, 2 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4)]'"
}
Copied!
{
  "id": "toolu_01HkfAQVELdviRvVteHSJ2Pg",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "3",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 3 edge (3,4).\\nNetBuilder: 12 shapes, 3 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01G1PJWLc7rSTDpKa9Djrg88",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "4",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 4 edge (3,4).\\nNetBuilder: 12 shapes, 4 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01JQMqqXPLgb9j6PVCg1zqRn",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "5",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 5 edge (3,4).\\nNetBuilder: 12 shapes, 5 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01SoYRdMa4sdvTnA6fTB2K5m",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "6",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 6 edge (1,2).\\nNetBuilder: 12 shapes, 6 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01DLHKfPyHnfDLjjpWYyXAi3",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "6",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 6 edge (3,4).\\nNetBuilder: 12 shapes, 7 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_019Z2WUVGNukHjBrCnyWEdUQ",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "7",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 7 edge (1,2).\\nNetBuilder: 12 shapes, 8 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01S1BApQ3MwcH7dUFADBM37r",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "7",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 7 edge (3,4).\\nNetBuilder: 12 shapes, 9 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3,<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01X8Ado6ZBWMZv3mMFSP6Rd5",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "8",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 8 edge (1,2).\\nNetBuilder: 12 shapes, 10 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01R2XYZNvg2EAT6b2Ckni4A4",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "8",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 8 edge (3,4).\\nNetBuilder: 12 shapes, 11 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3<TRUNCATED>"
}
Copied!
{
  "id": "toolu_016TADkhuaGZcuzKqDYBjh98",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "9",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 9 edge (1,2).\\nNetBuilder: 12 shapes, 12 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01LNtuJLQkAAybcyyeF29E23",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "9",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 9 edge (3,4).\\nNetBuilder: 12 shapes, 13 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3<TRUNCATED>"
}
Copied!
{
  "id": "toolu_019hn2bHHnkmj1fAmtJYvJZU",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "10",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 10 edge (1,2).\\nNetBuilder: 12 shapes, 14 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, <TRUNCATED>"
}
Copied!
{
  "id": "toolu_017rEnPHtm7DZqcVo53gArAt",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "10",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 10 edge (3,4).\\nNetBuilder: 12 shapes, 15 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, <TRUNCATED>"
}
Copied!
{
  "id": "toolu_01MReaRzRMhVcTjqhRa4Sug1",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "11",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 11 edge (1,2).\\nNetBuilder: 12 shapes, 16 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, <TRUNCATED>"
}
Copied!
{
  "id": "toolu_0119VPkB9GFjdMPTUx84pVEn",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "11",
      "edge_start": "3",
      "edge_end": "4"
    }
  },
  "result": "'Added flap to shape 11 edge (3,4).\\nNetBuilder: 12 shapes, 17 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, <TRUNCATED>"
}
Copied!
{
  "id": "toolu_01SeRAgxHTe7V8DoKXTWoZnm",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "11",
      "edge_start": "4",
      "edge_end": "0"
    }
  },
  "result": "'Added flap to shape 11 edge (4,0).\\nNetBuilder: 12 shapes, 18 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, <TRUNCATED>"
}
Copied!
{
  "id": "toolu_01KJ55cMfEVSrgfdv4fvLfAX",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "False"
    }
  },
  "result": "'NetBuilder: 12 shapes, 18 flaps\\n  [0] pentagon - edges: [0, 1, 2, 3, 4]\\n  [1] pentagon - edges: [0, 1, 2, 3, 4]\\n  [2] pentagon - edges: [0, 1, 2, 3, 4]\\n  [3] pentagon - edges: [0, 1, 2, 3, 4]\\n  [4] pentagon - edges: [0, 1, 2, 3, 4]\\n  [5] pentagon - edges: [0, 1, 2, 3, 4]\\n  [6] pentagon - edges: [0, 1, 2, 3, 4]\\n  [7] pentagon - edges: [0, 1, 2, 3, 4]\\n  [8] pentagon - edges: [0, 1, 2, 3, 4]\\n  [9] pentagon - edges: [0, 1, 2, 3, 4]\\n  [10] pentagon - edges: [0, 1, 2, 3, 4]\\n  [11] pentagon - edges: [0, 1, 2, 3, 4]\\n  Flaps: [(1, 3, 4), (2, 3, 4), (3, 3, 4), (4, 3, 4), (5, 3, 4), (6, 1, <TRUNCATED>"
}

Here's the code to reproduce:

Copied!
net = NetBuilder()
net.start_pentagon(flip=False)
net.grow(0, 0, 1, 'pentagon', flip=True)
net.grow(0, 1, 2, 'pentagon', flip=True)
net.grow(0, 2, 3, 'pentagon', flip=True)
net.grow(0, 3, 4, 'pentagon', flip=True)
net.grow(0, 4, 0, 'pentagon', flip=True)
net.grow(1, 2, 3, 'pentagon', flip=False)
net.grow(2, 2, 3, 'pentagon', flip=False)
net.grow(3, 2, 3, 'pentagon', flip=False)
net.grow(4, 2, 3, 'pentagon', flip=False)
net.grow(5, 2, 3, 'pentagon', flip=False)
net.grow(6, 2, 3, 'pentagon', flip=False)

net.add_flap(1, 3, 4)
net.add_flap(2, 3, 4)
net.add_flap(3, 3, 4)
net.add_flap(4, 3, 4)
net.add_flap(5, 3, 4)
net.add_flap(6, 1, 2)
net.add_flap(6, 3, 4)
net.add_flap(7, 1, 2)
net.add_flap(7, 3, 4)
net.add_flap(8, 1, 2)
net.add_flap(8, 3, 4)
net.add_flap(9, 1, 2)
net.add_flap(9, 3, 4)
net.add_flap(10, 1, 2)
net.add_flap(10, 3, 4)
net.add_flap(11, 1, 2)
net.add_flap(11, 3, 4)
net.add_flap(11, 4, 0)

net.show()

Code: 690 () 

net = NetBuilder()
net.start_pentagon(flip=False)
net.grow(0, 0, 1, 'pentagon', flip=True)
net.grow(0, 1, 2, 'pentagon', flip=True)
net.grow(0, 2, 3, 'pentagon', flip=True)
net.grow(0, 3, 4, 'pentagon', flip=True)
net.grow(0, 4, 0, 'pentagon', flip=True)
net.grow(1, 2, 3, 'pentagon', flip=False)
net.grow(2, 2, 3, 'pentagon', flip=False)
net.grow(3, 2, 3, 'pentagon', flip=False)
net.grow(4, 2, 3, 'pentagon', flip=False)
net.grow(5, 2, 3, 'pentagon', flip=False)
net.grow(6, 2, 3, 'pentagon', flip=False)

net.add_flap(1, 3, 4)
net.add_flap(2, 3, 4)
net.add_flap(3, 3, 4)
net.add_flap(4, 3, 4)
net.add_flap(5, 3, 4)
net.add_flap(6, 1, 2)
net.add_flap(6, 3, 4)
net.add_flap(7, 1, 2)
net.add_flap(7, 3, 4)
net.add_flap(8, 1, 2)
net.add_flap(8, 3, 4)
net.add_flap(9, 1, 2)
net.add_flap(9, 3, 4)
net.add_flap(10, 1, 2)
net.add_flap(10, 3, 4)
net.add_flap(11, 1, 2)
net.add_flap(11, 3, 4)
net.add_flap(11, 4, 0)

net.show()

Output: 30

Note: 6

Icosahedron

Prompt: 223

Help me build this icosahedron template: pasted_image

Use tools: &net_reset, net_start, net_grow, net_add_flap, net_remove_shape, net_remove_flap, net_clear_flaps, net_info, net_show

Build the main shape first, decide where to grow the next shape based on the edge labels. Build flaps last. Always check edge label before putting the flap down.

Output the code that I can reproduce.

Assistant: 13,468

I'll build this icosahedron net step by step. Looking at the image, I see a horizontal strip of alternating triangles with additional triangles above and below, plus flaps on the ends.

Copied!
{
  "id": "toolu_014pSs2xXJh78RmheEmhgxw4",
  "call": {
    "function": "net_reset",
    "arguments": {}
  },
  "result": "'Net reset. Ready to start building.'"
}
Copied!
{
  "id": "toolu_015UjX3RyjRZ1fj9CPXBuWLL",
  "call": {
    "function": "net_start",
    "arguments": {
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Started with triangle at index 0.\\nNetBuilder: 1 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01E2bfSCFhQSy4bFutb3snuF",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 1 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]'"
}

Now I'll build the main horizontal strip of alternating triangles, growing to the right:

Copied!
{
  "id": "toolu_01HtTkrjw3QGwaZiw3g1znfm",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 1.\\nNetBuilder: 2 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01UiVo8e1HLuqfUQeezmNtCG",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 2.\\nNetBuilder: 3 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_016ffZDhUmjNVTUo4W46C7ma",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "2",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 3.\\nNetBuilder: 4 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01F9D2NqqGm7QRTtfgu2oARn",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "3",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 4.\\nNetBuilder: 5 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01BiPqRbieubJxTQAEx8QYDx",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "4",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 5.\\nNetBuilder: 6 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_018HAnYfDCh4cxS2upSgmfvA",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "5",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 6.\\nNetBuilder: 7 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01B9fbFanc8rv2H41KRXSuXH",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "6",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 7.\\nNetBuilder: 8 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01WHpyZY7xRUB2ZfWWsQYh8p",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "7",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 8.\\nNetBuilder: 9 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01Q2LydLG5pohH5Sq8dsnZtJ",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "8",
      "edge_start": "1",
      "edge_end": "2",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 9.\\nNetBuilder: 10 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01SP9sF6aj9WeYqTTEREEY7Z",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 10 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]'"
}

Good, now I'll add the triangles above and below the main strip. Looking at the image, there are triangles extending from the top edge of the upward-pointing triangles and from the bottom edge of the downward-pointing triangles:

Copied!
{
  "id": "toolu_01U2DRAowWxdKZEBLJCVXYki",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "0",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 10.\\nNetBuilder: 11 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01YLsNVCSgQtHWZDTF2hzPgb",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "2",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 11.\\nNetBuilder: 12 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_0133gXr2uYwLo6ucfKCCkW7r",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "4",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 12.\\nNetBuilder: 13 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01B5Wa5bRGhvd8da5CokJXyW",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "6",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 13.\\nNetBuilder: 14 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]'"
}
Copied!
{
  "id": "toolu_01C5YW6e77pnBH8g5RVvR2Tk",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "8",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "True"
    }
  },
  "result": "'Added triangle at index 14.\\nNetBuilder: 15 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]'"
}

Now triangles below the downward-pointing triangles:

Copied!
{
  "id": "toolu_01Quh7m5paUm4G9MGh8qXk1J",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "1",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 15.\\nNetBuilder: 16 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] t<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01M3zjCYUqd1dqVFbsFp1AFR",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "3",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 16.\\nNetBuilder: 17 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] t<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01WxpCeNFxcGrXAnYTDT73yW",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "5",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 17.\\nNetBuilder: 18 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] t<TRUNCATED>"
}
Copied!
{
  "id": "toolu_011k3mmoJTV75qR3B9JwJwDG",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "7",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 18.\\nNetBuilder: 19 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] t<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01XXpNjWifP1eb4fNCxCWuKZ",
  "call": {
    "function": "net_grow",
    "arguments": {
      "from_shape": "9",
      "edge_start": "2",
      "edge_end": "0",
      "shape": "triangle",
      "flip": "False"
    }
  },
  "result": "'Added triangle at index 19.\\nNetBuilder: 20 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] t<TRUNCATED>"
}
Copied!
{
  "id": "toolu_01GC5QybTULkuPdzZSatdn19",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "True"
    }
  },
  "result": "'NetBuilder: 20 shapes, 0 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] triangle - edges: [0, 1, 2]\\n <TRUNCATED>"
}

All 20 triangles are in place. Now I'll add the flaps. Looking at the image, there are flaps on the left end (shape 10) and right end (shapes 14 and 19):

Copied!
{
  "id": "toolu_01U3gMLb6Jk9H6e6zt4j5mue",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "10",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 10 edge (1,2).\\nNetBuilder: 20 shapes, 1 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n <TRUNCATED>"
}
Copied!
{
  "id": "toolu_01RkAx8Ps2Qt1b6Ef8yavfqp",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "14",
      "edge_start": "2",
      "edge_end": "1"
    }
  },
  "result": "'Added flap to shape 14 edge (2,1).\\nNetBuilder: 20 shapes, 2 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n <TRUNCATED>"
}
Copied!
{
  "id": "toolu_01FpLVWKnno59gNNNF9LCntr",
  "call": {
    "function": "net_add_flap",
    "arguments": {
      "shape_idx": "19",
      "edge_start": "1",
      "edge_end": "2"
    }
  },
  "result": "'Added flap to shape 19 edge (1,2).\\nNetBuilder: 20 shapes, 3 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n <TRUNCATED>"
}
Copied!
{
  "id": "toolu_019r16WFopQVJNN6HrvNN1Ug",
  "call": {
    "function": "net_show",
    "arguments": {
      "labels": "False"
    }
  },
  "result": "'NetBuilder: 20 shapes, 3 flaps\\n  [0] triangle - edges: [0, 1, 2]\\n  [1] triangle - edges: [0, 1, 2]\\n  [2] triangle - edges: [0, 1, 2]\\n  [3] triangle - edges: [0, 1, 2]\\n  [4] triangle - edges: [0, 1, 2]\\n  [5] triangle - edges: [0, 1, 2]\\n  [6] triangle - edges: [0, 1, 2]\\n  [7] triangle - edges: [0, 1, 2]\\n  [8] triangle - edges: [0, 1, 2]\\n  [9] triangle - edges: [0, 1, 2]\\n  [10] triangle - edges: [0, 1, 2]\\n  [11] triangle - edges: [0, 1, 2]\\n  [12] triangle - edges: [0, 1, 2]\\n  [13] triangle - edges: [0, 1, 2]\\n  [14] triangle - edges: [0, 1, 2]\\n  [15] triangle - edges: [0, 1, 2]\\n <TRUNCATED>"
}

The icosahedron net is complete with 20 triangles and 3 flaps. Here's the code to reproduce:

Copied!
net = NetBuilder()
net.start_triangle(flip=False)

for i in range(9): net.grow(i, 1, 2, 'triangle', flip=(i % 2 == 0))

for i in [0, 2, 4, 6, 8]: net.grow(i, 2, 0, 'triangle', flip=True)
for i in [1, 3, 5, 7, 9]: net.grow(i, 2, 0, 'triangle', flip=False)

net.add_flap(10, 1, 2)
net.add_flap(14, 2, 1)
net.add_flap(19, 1, 2)

net.show()

Code: 232 () 

net = NetBuilder()
net.start_triangle(flip=False)

for i in range(9): net.grow(i, 1, 2, 'triangle', flip=(i % 2 == 0))

for i in [0, 2, 4, 6, 8]: net.grow(i, 2, 0, 'triangle', flip=True)
for i in [1, 3, 5, 7, 9]: net.grow(i, 2, 0, 'triangle', flip=False)

net.add_flap(10, 1, 2)
net.add_flap(14, 2, 1)
net.add_flap(19, 1, 2)

net.show()

Output: 30