Clayton Shonkwiler

Assistant Professor of Mathematics
Colorado State University
Fort Collins, Colorado, USA
Clayton Shonkwiler is a mathematician and artist.

He is committed to using geometry to understand the world.
Stereo Vision
28 x 37 cm
Digital print on glass
2017
Torus knots take their most symmetric form on the flat Clifford torus inside the 3-sphere. Stereographically projecting to 3-dimensional Euclidean space destroys some of the symmetry, but by taking slightly thick knots rather than true 1-dimensional objects, we can get a sense of the distorting effect of the projection through the changing thickness of the knot we see.
Tangents
28 x 37 cm
Digital print on glass
2017
This image consists solely of 1000 straight lines which are tangent to the Bessel function of the first kind of order 4. Nonetheless, the highly nonlinear graph of the Bessel function, which can be used to describe certain vibration modes of a circular drum, is readily apparent.