Roelofs Antiprism Polylinks RAP4-RAP10

[Polyknot and Polylink Introduction] > [Roelofs Polyknots and Polylinks 1] > [Roelofs Antiprism Polylinks]

The base polyhedra for these polylinks are the first 7 antiprisms as for example the pentagonal antiprism and the Roelofs pentagonal antiprism polylink (Figure 1).

base polyhedron

(pentagonal antiprism)

derived polyknot

(Roelofs pentagonal 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)

A 360-degree rotating animation of a Roelofs square antiprism polylink with a crossing number of 32.

structure: Roelofs square antiprism polylink

RAP4

components: triangles

A 360-degree rotating animation of a Roelofs pentagonal antiprism polylink with a crossing number of 40.

structure: Roelofs pentagonal antiprism polylink

RAP5

components: triangles

A 360-degree rotating animation of a Roelofs hexagonal antiprism polylink with a crossing number of 48.

structure: Roelofs hexagonal antiprism polylink

RAP6

components: triangles

A 360-degree rotating animation of a Roelofs heptagonal antiprism polylink with a crossing number of 56.

structure: Roelofs heptagonal antiprism polylink

RAP7

components: triangles

A 360-degree rotating animation of a Roelofs octagonal antiprism polylink with a crossing number of 64.

structure: Roelofs octagonal antiprism polylink

RAP8

components: triangles

A 360-degree rotating animation of a Roelofs nonagonal antiprism polylink with a crossing number of 72.

structure: Roelofs nonagonal antiprism polylink

RAP9

components: triangles

A 360-degree rotating animation of a Roelofs decagonal antiprism polylink with a crossing number of 80.

structure: Roelofs decagonal antiprism polylink

RAP10

components: triangles

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