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[Polyknot and Polylink Introduction] > [Escher Polyknots and Polylinks]
As stated previously, the eponymous Escher polyknots and polylinks are inspired by the lithograph of 1952, Gravity. They are distinctive in that they are to Roelofs polyknots and polylinks what star polyhedra are to polyhedra (Figure 1).
Star Polyhedron
(star cube)
Polyhedron
(cube)
(Figure 1)
Escher cubic polyknot
Roelofs cubic polyknot
(Figure 2)
Use the list below to access examples of each Escher polyknot and polylink by structural subcategory. These are the standardized versions of each meaning that they all share the same triangulated composition.
The collection below represents examples of nonstandard Escher polyknots and polylinks by which is meant that the composition is variable from one to another. Additional nonstandard examples can be seen here: Escher Polyknots and Polylinks 2
structure: Stewart icosahedral polyknot components: pentagonal prisms, dodecahedra, truncated icosahedra
structure: Escher tetrahedral polyknot
components: triangles, pentagons
structure: Escher tetrahedral polyknot
components: cubes, triangles, pentagons, hexagons
structure: Escher tetrahedral polyknot
components: triangles, pentagons
structure: Escher tetrahedral polyknot
components: triangles, pyramids
structure: Stewart tetrahedral polyknot
components: pentagonal prisms, truncatedicosahedra
structure: Escher cubic polyknot
components: squares, pyramids
structure: Escher octahedral polylink
components: triangles, pyramids
structure: Escher dodecahedral polyknot
components: triangles, pentagons
structure: Escher dodecahedral polyknot
components: cubes, pentagonal prisms, pentagonal pyramids
structure: Escher dodecahedral polyknot
components: line segments
structure: Escher dodecahedral polyknot components: triangles, squares, pentagons
structure: Escher dodecahedral polyknot
components: squares, pentagons, pyramids
structure: Escher dodecahedral polyknot
components: squares, pentagons, pyramids
structure: Escher dodecahedral polyknot
components: squares, pentagons, pyramids
structure: Escher dodecahedral polyknot
components: squares, pentagons, pyramids
structure: Escher dodecahedral polyknot
components: triangles, pentagons, hexagons
structure: Escher inverted dodecahedral polyknot
components: triangles
structure: Escher icosahedral polyknot
components: cubes, triangualr prisms, triangular pyramids
structure: Escher inverted truncated icosidodecahedral polyknot
components: triangles
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