architile : create lattices with all 11 regular or uniform tilings

A small python library to generate 2D lattices based on repeating any of the 11 regular or uniform tilings. Uniform tilings are arrangements of regular polygons that cover a plane without gaps or overlaps, where each vertex has the same arrangement of polygons.

Features

• Get nodes and connectivity for any of the 11 regular or uniform tilings
• Tile into any rectangular area with options for the boundary (cut, cut exactly to bounding box, or fill with partial tiles along the boundary)
• Rotate the tiling pattern by any angle

All 11 regular or uniform tilings

Installation

Install from pypi:

pip install architile

or using uv instead:

uv add architile

Getting started

from architile import tiling, tile_into_rectangle

# Create a SnubSquare tiling
tile = tiling.SnubSquare(a=1.0)

# Tile it into a rectangle of width 5 and height 3 (origin at (0,0))
nodes, edges = tile_into_rectangle((0.0, 0.0, 5.0, 3.0), tile)

# Tile it into a rectangle and add edges along the boundary of the rectangle
# tiling with partial tiles along the bounding box
nodes, edges = tile_into_rectangle((0.0, 0.0, 5.0, 3.0), tile, boundary="cut_fill")

# tile it into a rectangle but put the pattern at an angle of 15 degrees
nodes, edges = tile_into_rectangle((0.0, 0.0, 5.0, 3.0), tile, theta=np.pi/12)

Disclaimer

This is a research project, and the code is provided "as is" without warranty of any kind. Use at your own risk.

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