Chaim Goodman-Straus

“Orchid (6₁3₁2₁ )”

Postscript programming (archival computer print0, 17" x 27", 2006.



This print is an illustration of one of the 184 discrete anisotropic space groups, (6₁3₁2₁) in the Conway-Thurston fibrefold notation (international crystallographic number 169); the image was created directly through postscript programming, for the forthcoming book "The Symmetries of Things", coauthored with John H. Conway and Heidi Burgiel.

Chaim Goodman-Strauss, Professor of Mathematics, Dept. Mathematical Sciences, University of Arkansas

" For my entire mathematical career, I have been interested visualizing mathematical ideas, making them direct and tangible. Though as seduced by abstraction as any other mathematician, I am drawn to ideas that can be touched and realized. We are entering a golden age of mathematical illustration, as this exhibit shows; I feel lucky to be just the right age to have begun my craft using only hand-held tools, but to master it using the computer. The forthcoming book 'The Symmetries of Things', coauthored with John H. Conway and Heidi Burgiel includes over 1000 images, created using several different proprietary software tools."

www.mathbun.com

Other works by the artist

“Feet 32x”

Mathematica programming (archival computer print, 30" x 30", 2005.



This illustrates the discrete group 32x, in the Conway-Thurston orbifold notation; the image was created from a scan of the artist's foot, then manipulated within Mathematica, for the forthcoming book "The Symmetries of Things", coauthored with John H. Conway and Heidi Burgiel.

“Morning Glories 4₁*:2”

Postscript programming (archival computer print, 30" x 20", 2006.



These morning glories are arranged in space, in one of the possible 230 discrete spatial symmetries; the figure is from the forthcoming "The Symmetries of Things" coauthored with John H. Conway and Heidi Burgiel.his illustrates the discrete group 32x, in the Conway-Thurston orbifold notation; the image was created from a scan of the artist's foot, then manipulated within Mathematica, for the forthcoming book "The Symmetries of Things", coauthored with John H. Conway and Heidi Burgiel.