More from the Bridges Conference in Waterloo

There are a number of artists who have been making mathematical art for many years. I have been following the work of Carlo H. Sequin and John Hiigli since I first became interested in the field. It was great to see some of their new work on display.
Sequin’s sculpture , “Pentagonal Dyck Cycle”, uses 5 connected elliptical Dyck disks to create a single sided surface (like a Moebius Strip). This complex form was designed on a computer and produced in ABS plastic formed by fused deposition modeling. The undulating curves create a sensuality not often found using this method. Sequin has successfully created an emotionally charged object using Mathematics and technology.
 
John Hiigli”s painting “Chrome 209” depicts a icosahedron, a polyhedron with 20 faces inside an octahedron, a polyhedron with 8 faces. The icosahedron is twisted, so that 8 of its faces share a plan with on of each of the 8 faces of the octahedron. Using transparent oil paint Hiigli lets us see inside of the shapes, creating an elegant geometry of color within the delicate straight line schematic drawing.
 
Christopher Arabadjis used only blue and red ballpoint pens to create this drawing. Using 2-D depiction of octahedrons in square at the bottom of the image, Arabadjis begins a process of projecting 3-D forms onto a 2-D plane. The squares become parallelograms. Then after the 6 by 6 grid of octagons is complete, Arabadijs adds two more rows to give the illusion of another dimensionality.
Susan Happersett

More Art From JMM: Elizabeth Whiteley and Clayton Shonkwiler

The gallery area at JMM was full of interesting work. Here are two more excellent examples.

Elizabeth Whiteley work is often related to botanical drawing and painting. In this new work she explores the geometry of of plants, but also the symmetries of design. Through her study of Frieze Group Symmetries she is developing a series of drawings that tackles the challenges that occur at the corners of the page. A Frieze Group is the mathematical classification for 2-D patterns that repeat in only one direction. Often seen on building as border decoration. There are seven symmetry groups that relate to Frieze patterns involving combinations of rotations reflections and translations.

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The silverpoint drawing “Halesia carolina I” (above) features a central figure of three blooms surrounded by a border pattern of single blooms. This frieze pattern features reflected translations with a line of reflection at the center of each side. Whiteley’s drawings call to mind the decorative use of borders in illuminated manuscripts. By referencing the patterns of the central figure in the design element of the border, the symmetries become more connected to the central theme.

The clean lines of Clayton Shonkwiler’s digital animation “Rotation”drew my attention. Using circles and lines, the video presents undulating, almost sensual, geometric images.

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I am providing a still shot I took in the gallery, but his videos are available on Shonkwiler’s website.

Although the geometric figures, circles packed into the square grid of the video frame, are basic, the mathematics for this visual feat is quite complex (Shonkwiler utilizes a Möbius transformation of the hyperbolic plane to the Poincaré disk model). I think it is the purity of the clean lines of the circles that allow the grace of the more complicated mathematical processes to translate into a really beautiful video.

Susan Happersett