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The 92 Escher-Johnson polyknots are knots with the polyhedral asymmetries of the Johnson polyhedra (also known as Johnson solids). Like other polyknots, they come in chiral pairs, with only one of the pairs exhibited here. Each polyknots has a knot at the vertex of the base polyhedron, and the type of knot is determined by the vertex configuration of the base polyhedron.Â
structure: Escher-Johnson J61 (triaugmented dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J62 (metabidiminished icosahedron) polyknot
components: triangles
structure: Escher-Johnson J63 (tridiminished icosahedron) polyknot
components: triangles
structure: Escher-Johnson J64 (augmented tridiminished icosahedron) polyknot
components: triangles
structure: Escher-Johnson J65 (augmented truncated tetrahedron) polyknot
components: triangles
structure: Escher-Johnson J66 (augmented truncated cube) polyknot
components: triangles
structure: Escher-Johnson J67 (biaugmented truncated cube) polyknot
components: triangles
structure: Escher-Johnson J68 (augmented truncated dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J69 (parabiaugmented truncated dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J70 (metabiaugmented truncated dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J71 (triaugmented truncated dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J72 (gyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J73 (parabigyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J74 (metabigyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J75 (trigyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J76 (diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J77 (paragyrate diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J78 (metagyrate diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J79 (bigyrate diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Escher-Johnson J80 (parabidiminished rhombicosi-dodecahedron) polyknot
components: triangles
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