tiling

Tool for generating arbitrary rhombic tilings in arbitrary numbers of dimensions, based on the de Bruijn grid method.

Please see final_report.pdf for a complete overview of the method implemented in the code if you are interested.

If you find any issues/want to request a feature, please don't hesitate to contact me here: joshcol9232@gmail.com.

• 11-Fold rotationally symmetric tiling.

• Extracted section of icosahedral quasicrystal viewed down an axis of symmetry.

Usage:

The dualgrid module contains the method itself, which will return a list of rhombohedra. There are then various methods in the utils module that enable you to render the shapes, save them to an STL file, and choose pre-defined bases. See main.py to get started, or the other examples in the folder.

Note: Ensure that main.py (or your Python file) is being executed from within tiling-main/ (or the folder containing the dualgrid folder), as the Python interpreter needs to be able to find the dualgrid module.

Dependencies:

• numpy
• matplotlib
• networkx

Testing

To run the tests, run:

python -m pytest

This currently checks that no output has changed.

Collaboration, making changes:

Please raise an issue if a bug is found, or if a potential new feature should be discussed. For making changes to the code, please open a separate branch, following the git flow pattern:

i.e Make a new branch for a new feature: feature/new_feature, a bug: bugfix/name_of_bug, etc.

Then please test your changes and open a pull request for review.

Notes:

• Filtering the generated nodes into a smaller region is important so that outliers are not included in the graph. E.g tiles that are not connected to the rest of the tiling - generate a 2D Penrose tiling without applying a filter and zoom out if you want to see for yourself. This is one minor caveat of the de Bruijn dualgrid method, but it is easily remedied by filtering.