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There are 92 Roelofs-Johnson polyknots, corresponding to each of the Johnson polyhedra (also known as Johnson solids). Each knot exhibits the asymmetry of the corresponding base polyhedron, with knots at each vertex of the same base polyhedron, as is the case with all polyknots. J61-80 are featured below, with the remainder spread across 4 more pages.Â
structure: Roelofs-Johnson J61 (triaugmented dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J62 (metabidiminished icosahedron) polyknot
components: triangles
structure: Roelofs-Johnson J63 (tridiminished icosahedron) polyknot
components: triangles
structure: Roelofs-Johnson J64 (augmented tridiminished icosahedron) polyknot
components: triangles
structure: Roelofs-Johnson J65 (augmented truncated tetrahedron) polyknot
components: triangles
structure: Roelofs-Johnson J66 (augmented truncated cube) polyknot
components: triangles
structure: Roelofs-Johnson J67 (biaugmented truncated cube) polyknot
components: triangles
structure: Roelofs-Johnson J68 (augmented truncated dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J69 (parabiaugmented truncated dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J70 (metabiaugmented truncated dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J71 (triaugmented truncated dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J72 (gyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J73 (parabigyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J74 (metabigyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J75 (trigyrate rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J76 (diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J77 (paragyrate diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J78 (metagyrate diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J79 (bigyrate diminished rhombicosi-dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J80 (parabidiminished rhombicosi-dodecahedron) polyknot
components: triangles
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