The 2020 Mathematical Art Exhibition Awards were made at the Joint Mathematics Meetings last week "for aesthetically pleasing works that combine mathematics and art." The chosen works were selected from the exhibition of juried works in various media by over 90 mathematicians and artists from around the world.

"Suspended Helical Stair," by Mark Donohue (California College of the Arts, San Francisco, CA), was awarded Best textile, sculpture, or other medium. "A unique cable system to suspend a stair was developed in collaboration with a leading structural engineer. The suspended cables form a double helicoid nested within an ascending spiral hyperboloid to create the necessary points of support for the gravity loads and lateral bracing for the seismic loads. Each concrete stair tread was designed as an independent element that is strung together with the stairs above and below it to form a single spiral stair when the steel cables that run through them are post tensioned. The entire stair tread and suspension cable system can be understood as a play of ruled surfaces with each part related to the other through their shared geometric lineage." The work is string and plywood,45 x 23 x 23 cm, 2018.

2018

"A Unit Domino," by Douglas McKenna (Mathemaesthetics, Inc., Boulder, CO), was awarded Best photograph, painting, or print. "This piece is based upon an artist-discovered "half-domino" space-filling curve. The drawing comprises some half-million connected line segments, arranged in two perfectly recursive levels of double-spiral pairs, slowly changing color, in a single, over-one-mile-long self-avoiding path from lower left to lower right (the lower right square that sticks out is an integral part of its self-negative structure). The limiting curve covers a self-similar gasket tile with an infinitely long, almost-everywhere linear border. With an upside-down copy of itself, two such gaskets of unit area exactly cover a 1x2 domino, without overlap. The artist's app/eBook "Hilbert Curves" for iPad/iPhone explains how he discovered these beautiful constructions." The work is a glicée print,106 x 66 cm, 2015.

"Computational Wings," by David Bachman (Pitzer College, Claremont, CA), received Honorable Mention. "The body of this dragonfly is taken from a photograph, while the wings were computationally generated. A variety of algorithms were used to create them. First, a set of points were randomly populated across each wing and moved by a circle packing algorithm, where the radius of each circle was inversely proportional to the distance from the body. Next, those points were used to create a Voronoi diagram. Main veins were located by a shortest walk algorithm through the edges of this diagram, and those veins were given a variable thickness according to the distance travelled as you traverse them outward from the body." The work is laser etched acrylic, 23 x 35 x 3 cm, 2019.

(Click on the thumbnails to see larger versions of the images.)

The Mathematical Art Exhibition Award "for aesthetically pleasing works that combine mathematics and art" was established in 2008 through an endowment provided to the American Mathematical Society by an anonymous donor who wishes to acknowledge those whose works demonstrate the beauty and elegance of mathematics expressed in a visual art form. The awards are $400 for Best photograph, painting, or print; $400 for Best textile, sculpture, or other medium; and $200 for Honorable Mention. The Mathematical Art Exhibition of juried works in various media is held at the annual Joint Mathematics Meetings of the American Mathematical Society (AMS) and Mathematical Association of America (MAA). a gallery of works in the 2020 exhibition will be on AMS Mathematical Imagery.

Find out more about the Mathematical Art Exhibition Award and see past recipients.

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