During 1995 he did research at The Geometry Center, a mathematics research and education center at the University of Minnesota, where he investigated aperiodic tilings of the plane.[5]
Goodman-Strauss has been fascinated by patterns and mathematical paradoxes for as long as he can remember. He attended a lecture about the mathematician Georg Cantor when he was 17 and says, "I was already doomed to be a mathematician, but that lecture sealed my fate."[6] He became a mathematics writer and popularizer. From 2004 to 2012, in conjunction with KUAF 91.3 FM, the University of Arkansas NPR affiliate, he presented "The Math Factor," a podcast website dealing with recreational mathematics.[7] He is an admirer of Martin Gardner and is on the advisory council of Gathering 4 Gardner, an organization that celebrates the legacy of the famed mathematics popularizer and Scientific American columnist,[8] and is active in the associated Celebration of Mind events.[9][10] In 2022 Goodman-Strauss was awarded the National Museum of Mathematics' Rosenthal Prize, which recognizes innovation and inspiration in math teaching.[11]
A tiling that does not repeat and uses only one shape, discovered by David Smith.
On Mar 20, 2023 Strauss, together with David Smith, Joseph Samuel Myers and Craig S. Kaplan, announced the proof that the tile discovered by David Smith is an aperiodic monotile,[12] i.e., a solution to a longstanding open einstein problem.[13] The team continues to refine this work.[14]
In 2008 Goodman-Strauss teamed up with J. H. Conway and Heidi Burgiel to write The Symmetries of Things, an exhaustive and reader-accessible overview of the mathematical theory of patterns. He produced hundreds of full-color images for this book using software that he developed for the purpose.[15] The Mathematical Association of America said, "The first thing one notices when one picks up a copy … is that it is a beautiful book … filled with gorgeous color pictures … many of which were generated by Goodman-Strauss. Unlike some books which add in illustrations to keep the reader's attention, the pictures are genuinely essential to the topic of this book."[16]
He also creates large-scale sculptures inspired by mathematics, and some of these have been featured at Gathering 4 Gardner conferences.[17]
^Review of The symmetries of things, by Phil Wilson, Plus Magazine, December 1, 2008: "The book presents a whole new way of looking at patterns. The methods have been worked out so exhaustively, and the trails opened up in the book have been followed so extensively, that you almost can't believe that such a huge body of knowledge could have lain dormant for so long!"
