A Family of Non-Periodic Tilings, Describable Using Elementary Tools

68 joshu 7 6/10/2025, 7:47:37 PM arxiv.org ↗

Comments (7)

jameshart · 16h ago
Someone needs to get this into the hands of a ceramic tile manufacturer or a manufacturer of pavers. These are some of the most immediately aesthetically useful tile shapes mathematics has produced since the hexagon.
ThalesX · 16h ago
Ever since those Einstein tiles I've been dreaming about making a company that does these kind of fancy tiling.
noqc · 15h ago
>aesthetically useful
jameshart · 14h ago
Yes?

Useful for making aesthetically pleasing things.

0y · 15h ago
"The pattern shown in Figure 5(b) was originally presented by Jan Sallmann-Räder in a social media post"

this seems to be said post: https://www.facebook.com/share/1DJu7tSjKq/

joshu · 14h ago
yeah, miki also posts in https://www.facebook.com/groups/tiling as well. i've been following this for a few weeks
joshu · 17h ago
Full title: A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity

This is Miki Imura’s spiral tesselation.