A few groovy images
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…
Double Triamond, w/ Hexastix!
“Double Triamond, w/ Hexastix!” created in collaboration with Eugene Sargent, was assembled at the eighth Gathering for Gardner, at Tom Rodgers’ and Sarah Garvin’s beautiful Japanese style gardens and home in Atlanta in 2008. The
Threelobites
The trilobite and cross tiles clearly generalize to higher dimensions. Though a simpler method soon appeared”Threelobites” were a first early graphic / mathematical exploration. Here’s a nice pic of a tiling by the trilobite and
Self-assembly of Robinson tiles
Through a local self-assembly rule these tiles are forced to form arbitrarily large patches of Robinson tilings, with some extra markings that are used to manage the process. In the animation, at each green dot,
Orbifold Geometrization
I was curious about the actual algorithm for geometrizing an orbifold — it’s only lightly sketched at in Thurston’s Three Dimensional Topology and Geometry. Hence the app. The details are now inside some javascript: Check
C&! t-shirt designs
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!
My Time at the Geometry Center, Aug 14, 1995
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 posters
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
Various crystallographic space groups
Only a few of these illustrations made it into The Symmetries of Things, but there aren’t such constraints here, and so I present a whole lot of pictures of the non-isotopic, or “composite’ crystallographic symmetries.