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. The .[Polyknot and Polylink Introduction] > [Roelofs Polyknots and Polylinks 1]
Roelofs polyknots and polylinks are derived from convex polyhedra.(Figure 1).
base polyhedron
(cube)
derived polyknot
(Roelofs cubic polyknot)
(Figure 1)
Two examples of Rinus Roelofs' sculptures that inspired the catalog that bears his can can be seen in Figures 2 and 3. The both depict a sculptural rendering of one of Roelofs' sculptures with its corresponding triangualted design.
(Figure 2): a. Rinus Roelofs, mathematical sculpture. © Rinus Roelofs, used with permission (left), b. triangulated version of Rinus Roelofs' polyknot (right).
(Figure 3): a. Rinus Roelofs, mathematical sculpture. © Rinus Roelofs, used with permission (left). b. triangulated version of Rinus Roelofs' polyknot (right).
Use the guide below to access the standardized examples of each subcategory of Roelofs polyknots and polylinks. For additional nonstandard Roelofs Polyknots and Polylinks use this link.
This collection of 20 nonstandard Roelofs polylinks and polyknots offers a sense of the range of possibilities that their construction with polygons and polyhedra affords.
structure: Roelofs cubic polyknot
components: cubes
structure: Roelofs icosahedral polyknot
components: triangualr prisms, cubes
structure: Roelofs dodecahedral polyknot
components: pentagonal prisms cubes
structure: Roelofs tetrahedral polyknot
components: triangles, squares, pentagons
structure: Roelofs tetrahedral polyknot
components: squares, hexagons
structure: Roelofs tetrahedral polyknot
components: squares, hexagons
structure: Roelofs octahedral polylink
components: squares, hexagons
structure: Roelofs octahedral polylink
components: squares, hexagons
structure: Roelofs octahedral polylink
components: squares, hexagons
structure: Roelofs octahedral polylink
components: squares, hexagons
structure: Roelofs cubic polyknot
components: squares, octagons
structure: Roelofs cubic polyknot
components: squares, hexagons
structure: Roelofs dodecahedral polyknot
components: pentagons
structure: Roelofs dodecahedral polyknot
components: squares, pentagons
structure: Roelofs dodecahedral polyknot
components: triangles, pentagons
structure: Roelofs dodecahedral polyknot
components: triangles, pentagons
structure: Roelofs dodecahedral polyknot
components: squares, pentagons
structure: Roelofs dodecahedral polyknot
components: pentagons
structure: Roelofs dodecahedral polyknot
components: pentagons
structure: Roelofs dodecahedral polyknot
components: squares, pentagons
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