Very cool!

I used your code to make this short YouTube video: https://www.youtube.com/shorts/OUmMBYje3to

I am wondering if you'd be willing to explain how to make this tiling completely from scratch while broadcasting it all on Twitch? (Assume I know very little about tilings and a moderate amount of math)

Hi Dugan, may I ask you, what the following line is good for?

tileCornerLatticeCoordinates[[All,gridIndices]]=Tuples[gridLineNumbers[[gridIndices]]];

It looks like a transformation that shifts some of the rhombs in place. But is it possible to heuristically explain, how it works. I understand that the intersections of the pentagrid provide the order of the rhombs but they certainly do not provide the correct location. Therefore, the intersections are projected into 5D. This happens in the line before. But what is the quoted line doing precisely?

Thank you, Johannes.