3 ms·
A Family of Non-Periodic Tilings, Describable Using Elementary Tools
- joshu 1y agoFull 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 1y agoSomeone 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.
- 0y 1y 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/ https://www.facebook.com/share/1DJu7tSjKq/
- joshu 1y agoyeah, miki also posts in https://www.facebook.com/groups/tiling https://www.facebook.com/groups/tiling as well. i've been following this for a few weeks
- birn559 1y agoFun fact: last part of his name "Räder" is a German word that translate to "wheels" which I find weirdly fitting.
- ahazred8ta 1y agoCorrect 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 1y agoSo, 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.