Algorithms for penrose tiling patterns

I was hoping to restart this thread from the user spinvector:

I want to ask if anyone has any experience in this. They appear to be quite tricky to generate, as they don’t have translation symmetries. So I don’t believe I can use a decomposition scheme to generate a pattern.

I’d like to start with a pattern that ignores matching rules, like the one seen here (on the right):

This image has been resized to fit in the page. Click to enlarge.

I’m thinking at any point P, I can surround P with shapes, and each vertex of the new shapes become new P’s, which in turn get filled with shapes, etc. Does that sound like a good approach?


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Perhaps this might help.

Remember this forum has a search function.

Yes, I’m familiar with the search function. Unfortunately spinvector does not appear in any search results. I also found the pentose tiling post you shared via the search function and felt it wasn’t so relevant to spinvector’s post and better off as a separate thread . The post you suggest uses the “kite + dart” variation of penrose tiling and is not focusing on generating aperiodic tiling patterns as this post was/is.

I suggest to read the Wikipedia articles first and do some research