[Polyknot and Polylink Introduction] > [Roelofs Polyknots and Polylinks 1] > [Roelofs- Platonic Polyknots and Polylinks]
The base polyhedra for these polyknots and polylinks are the Platonic polyhedra as for example the dodecahedron and the Roelofs dodecahedral polyknot (Figure 1).
base polyhedron
(dodecahedron)
derived polyknot
(Roelofs dodecahedral polyknot)
(Figure 1)
Table 1 provides the polyknot (Pk) or polylink (Pl) and its local crossing number, global crossing number and, Euler number.
(Table 1)
structure: Roelofs tetrahedral polyknot
RP1
components: triangles
structure: Roelofs cubic polyknot
RP2
components: triangles
structure: Roelofs octahedral polylink
RP3
components: triangles
structure: Roelofs dodecahedral polyknot
RP4
components: triangles
structure: Roelofs icosahedral polyknot
RP5
components: triangles