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.
jameshart•8mo 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•8mo ago
Ever since those Einstein tiles I've been dreaming about making a company that does these kind of fancy tiling.
noqc•8mo ago
>aesthetically useful
jameshart•8mo ago
Yes?
Useful for making aesthetically pleasing things.
0y•8mo ago
"The pattern shown in Figure 5(b) was originally presented by Jan Sallmann-Räder in a social media post"
Fun fact: last part of his name "Räder" is a German word that translate to "wheels" which I find weirdly fitting.
ahazred8ta•7mo ago
Correct me if I'm wrong, some of these patterns don't seem to be nonperiodic. The tiling within the wedge-shaped regions is repetitive, and then the regions just fit together with an irregular boundary.
tocs3•8mo ago
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•8mo ago
This is Miki Imura’s spiral tesselation.