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.

"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/

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.