Math ImageryThe connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.

Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.

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Home > 2011 Mathematical Art Exhibition

"Proof Mining; The Gordian Geometric Knot," by Karl H(einrich) Hofmann (Tulane University, New Orleans, LA, and TU Darmstadt, Germany)

Pencil, felt pen, tempera, 20" x 24", 2009

Two artworks from the Darmstadt Colloquium Poster Project, framed together.
 The techniques used are pencil, felt pen, tempera. The calligraphy of the posters is obtained with a Copic felt pen in a typography specifically developed for this purpose. The texts are prescribed by the departmental colloquium program determined one semester in advance.
 A complete collection of scans of the last 12 semesters can be inspected on my website. --- Karl H(einrich) Hofmann (

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American Mathematical Society