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.
Minimal
38 x 63 cm
Digital animation
2019
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.