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The 13 Roelofs-Catalan polyknots are knots with Catalan polyhedral symmetries. The number and type of knots each polyknots has correspond to the number of vertices of the base polyhedron and the vertex configuration of each base polyhedron.
structure: Roelofs C1 (triakistetrahedron) Polyknot
components: triangles
structure: Roelofs C2 (rhombic dodecahedron) Polyknot
components: triangles
structure: Roelofs C3 (tetrakishexahedron) Polyknot
components: triangles
structure: Roelofs C4 (triakisoctahedron) Polyknot
components: triangles
structure: Roelofs C5 (strombic icositetrahedron) Polyknot
components: triangles
structure: Roelofs C6 (disdyakis-dodecahedron) Polyknot
components: triangles
structure: Roelofs C7 (pentagonal icositetrahedron) Polyknot
components: triangles
structure: Roelofs C8 (rhombic triacontahedron) Polyknot
components: triangles
structure: Roelofs C9 (pentakis-dodecahedron) Polyknot
components: triangles
structure: Roelofs C10 (triakisicosahedron) Polyknot
components: triangles
structure: Roelofs C11 (strombic hexecontahedron) Polyknot
components: triangles
structure: Roelofs C12 (disdyakistria-contahedron) Polyknot
components: triangles
structure: Roelofs C13 (pentagonal hexecontahedron) Polyknot
components: triangles
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