Chaim Goodman-Strauss

Professor of Mathematics
Dept. Mathematical Sciences, University of Arkansas
Fayetteville, Arkansas, USA

Mathematical illustration is central to my mathematical work and understanding.

Morning Glory (4_1*: 2)
Morning Glory (4_1*: 2)
53 x 80 x 1 cm

This is an illustration of a symmetry of space, denoted (4_1*:2) in the Conway-Thurston notation (International Crystallographic No. 110), part of a suite of such images, created for the book, The Symmetries of Things, written with John H. Conway and Heidi Burgiel.

±1/6 [OxO]
±1/6 [OxO]
20 x 20 x 20 cm

One of many similar pieces illustrating the four-dimensional point groups, this shows a group of order 48x8, which has as subgroups three perpendicular flows shown in the three colors. It, in turn, is a subgroup of the symmetries of the 24 cell, the 48 nodes here lying on the vertices of a pair of dual 24 cells. Its edges lie on those of a compound of two compounds of three 16-cells.