[Polyknot and Polylink Introduction] > [Escher Polyknots and Polylinks] > [Escher-Platonic Polyknots and Polylinks]
The base polyhedra for these polyknots and polylinks are the Platonic polyhedra as for example the dodecahedron and the Escher dodecahedral polyknot (Figure 1).
base polyhedron
(dodecahedron)
derived polyknot
(Escher dodecahedral polyknot)
(Figure 1)
Table 1 provides the polyknot (Pk) or polylink (Pl) and its local crossing number, global crossing number, vertex number, and Euler number.
structure: Escher tetrahedral polyknot
EP1
components: triangles
structure: Escher octahedral polylink
EP2
components: triangles
structure: Escher cubic polyknot
EP3
components: triangles
structure: Escher dodecahedral polyknot
EP4
components: triangles
structure: Escher icosahedral polyknot
EP5
components: triangles