Mathematical Tiling and Tessellation 
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Miki Imura
 March 18 Shared with Public group

My new paper is out!

I’ve just published a new paper on arXiv. It is based on a substitution tiling with 10-fold symmetry that I constructed, although the underlying rhomb tiling can also be generated via the well-known pentagrid method.
The main result is that the substitution is recognizable, which implies the existence of an aperiodic tile set that forces the tiling via finite local matching rules. I’d be very happy if you take a look!
https://arxiv.org/abs/2603.15549
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Mitchell Kuske
Ah this page is sublime, great work!
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Saty Raghavachary
Hi Miki, very cool!
This is the difference, in the pentagrids, yes? 🙂
May be an image of blueprint and floor plan
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Chris M Thomasson
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Nice. It kind of reminds me some older work of mine that auto tiles n-gons. It starts with a single n-gon. https://www.facebook.com/share/p/1CD1CkphXQ/
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