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.

38 x 63 cm
Digital animation

To create a trefoil knot on the simple cubic lattice requires at least 24 segments, and it turns out there are 3328 distinct ways to create a trefoil with exactly 24 segments. This animation shows one in orthogonal projection to a variety of different planes, demonstrating both symmetry and asymmetry in this particular minimal trefoil.