from Hacker News

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

by joshu on 6/10/25, 7:47 PM with 10 comments

• by jameshart on 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 0y on 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 joshu on 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 tocs3 on 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.