Inspired by the new substitution rules that Shigeki Akiyama and Yoshiaki Araki propose (along with a new proof of aperiodicity!), here are some drawings from the last few days. These aren’t quite the same as
All of these photos were taken in 2022, for the upcoming The Magic Theorem of the Symmetries of Things, a second edition of the first part of the book, with expanded exercises and examples, in
All of these groovy pix use maps from the plane to itself, taking a periodic pattern into the plane in a distorted way. Don’t stare into the middle for too long…
C&! is a wonderful math camp for young mathematicians and their families. Here are some t-shirt designs I’ve designed for them. This year’s remains a secret for a few more weeks!
Tamara Muzner has posted many of the videos that were made at the Geometry Center, where I spent the first eight months of 1995. That was a remarkable time, with powerful new methods for sculpting
Dodecafoam is a fractal quasicrystalline space-filling froth of dodecahedra which I’ve played with since 1988 in one form or another, and undoubtedly will post more about (check out the dodecafoam tag, or the dodecafoam kits
Doodlebug joins us on a tour of topological surfaces, with drawings and paper and scissor exercises. Another project to complete! Videos of the physical exercises will appear sometime — they do not seem to be
Lots of Aperiodic Sets of Tiles gives intructions for producing more than 25,380 different aperiodic sets of tiles, taken in lots, from a base set of 211 tiles. These tiles allow different hierarchical structures, that
Needless to say, these didn’t make it into the Symmetries of Things. The first pair were rendered in Tess, a program by Chris Watley in 1992 for the NeXT computer. The latter images are seamless
