Polyknots (Escher)

[Structural Geometric Topology Home] > [Topological Categories] > [Escher Polyknots]

Escher Polyknots are star topological structures with geometric composition. They are knots that exhibit polyhedral symmetries or asymmetries. Inspired. Each polyknot forms a knot at the vertices of its base polyhedron, with the type of knot determined by the vertex number, which corresponds to the vertex configuration of the base polyhedron.

The crossing number of a polyknot is calculated by multiplying the number of vertices of the base polyhedron by its vertex number. For example, a cubic polyknot, based on a cube with 8 vertices and a vertex number of 3, results in a crossing number of 8 × 3 = 24.

University: STEAM

Department: Metamathematics

Discipline: Structural geometric Topology

Category: geometric Polyknots

For additional examples of polyknots click on the links in the list below:

1. Escher Polyknots

2. Grossman Polyknots

3. Hart Polyknots

4. Roelofs Polyknots

5. Stewart Polyknots