Except for some literal edge cases, I solved the algorithm to make vertices of a tile pattern into truncated polygons - all using Excel. I still haven't completely worked out transformations across a linear field - yet.
Created using Excel and Krita. #MathArt
Excel with Krita editing and coloring.
Created using Excel and Krita. #MathArt
Created using Excel and Krita. #MathArt
Tiling sections made of squares and equilateral triangles. #MathArt