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

by joshuon 6/10/25, 7:47 PMwith 10 comments
by jamesharton 6/10/25, 9:00 PM

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.

by 0yon 6/10/25, 10:07 PM

"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/

by joshuon 6/10/25, 7:47 PM

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.

by tocs3on 6/11/25, 3:14 PM

So, how do these tiles differ from other non periodic tiling? I have looked at but not read the paper. It could be a little over my head.