Knots on the Cubic Lattice

Minimal Trefoil

Yuanan Diao showed (Journal of Knot Theory and Its Ramifications vol 2. #4 (1993) pp 413-425) that this polygon with 24 vertices is a minimal trefoil on the cubic lattice, and that no knots other than trefoils are possible using only 24 vertices.

Take a look at this knot in stereo 3D.

Examine this knot with an interactive 3D model viewer (requires Java).

Go to the KnotPlot Site or Rob Scharein's main WWW page.