Escher-Archimedean Polyknots and Polylinks EA1-EA13

[Polyknot and Polylink Introduction] > [Escher Polyknots and Polylinks] > [Escher-Archimedean Polyknots and Polylinks]

The base polyhedra for these polyknots and polylinks are the Archimedean polyhedra as for example the truncated icosahedron and the Escher truncated icosahedral polyknot (Figure 1).

based polyhedron

(truncated icosahedron)

derived polyknot

(Escher truncated icosahedral 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 an Escher truncated tetrahedral polyknot with a crossing number of 36.

structure: Escher truncated tetrahedral polyknot

EA1

components: triangles

A 360-degree rotating animation of an Escher cuboctahedral polyklink with a crossing number of 48.

structure: Escher cuboctahedral polylink

EA2

components: triangles

A 360-degree rotating animation of an Escher truncated octahedral polyknot with a crossing number of 72.

structure: Escher truncated octahedral polylink

EA3

components: triangles

A 360-degree rotating animation of an Escher truncated cubic polyknot with a crossing number of 72.

structure: Escher truncated cubic polyknot

EA4

components: triangles

A 360-degree rotating animation of an Escher rhombicuboctahedral polylink with a crossing number of 96.

structure: Escher rhombicuboctahedral polylink

EA5

components: triangles

A 360-degree rotating animation of an Escher truncated cuboctahedral polyknot with a crossing number of 144.

structure: Escher truncated cuboctahedral polyknot

EA6

components: triangles

A 360-degree rotating animation of an Escher snub cubic polyknot with a crossing number of 120.

structure: Escher snub cubic polyknot

EA7

components: triangles

A 360-degree rotating animation of an Escher icosidodecahedral polylink with a crossing number of 120.

structure: Escher icosidodecahedral polylink

EA8

components: triangles

A 360-degree rotating animation of an Escher truncated icosahedral polyknot with a crossing number of 180.

structure: Escher truncated icosahedral polyknot

EA9

components: triangles

A 360-degree rotating animation of an Escher truncated dodecahedral polyknot with a crossing number of 180.

structure: Escher truncated dodecahedral polyknot

EA10

components: triangles

A 360-degree rotating animation of an Escher rhombicosidodecahedral polylink with a crossing number of 240.

structure: Escher rhombi-cosidodecahedral polylink

EA11

components: triangles

A 360-degree rotating animation of an Escher truncated icosidodecahedral polyknot with a crossing number of 360.

structure: Escher truncated icosidodecahedral polyknot

EA12

components: triangles

A 360-degree rotating animation of an Escher snub dodecahedral polyknot with a crossing number of 300.

structure: Escher snub dodecahedral polyknot

EA13

components: triangles

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