A Family of Non-Periodic Tilings, Describable Using Elementary Tools
10 comments
·June 10, 2025jameshart
ThalesX
Ever since those Einstein tiles I've been dreaming about making a company that does these kind of fancy tiling.
aaron695
[dead]
0y
"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/
birn559
Fun fact: last part of his name "Räder" is a German word that translate to "wheels" which I find weirdly fitting.
joshu
yeah, miki also posts in https://www.facebook.com/groups/tiling as well. i've been following this for a few weeks
tocs3
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.
joshu
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.
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.