There are 92 Roelofs-Johnson polyknots, corresponding to each of the 92 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. J41-60 are featured below, with the remainder spread across 4 more pages.Â
structure: Roelofs-Johnson J41 (elongated pentagonal gyrocupolarotunda) polyknot
components: triangles
structure: Roelofs-Johnson J42 (elongated pentagonal orthobirotunda) polyknot
components: triangles
structure: Roelofs-Johnson J43 (elongated pentagonal gyrobirotunda) polyknot
components: triangles
structure: Roelofs-Johnson J44 (gyroelongated triangular bicupola) polyknot
components: triangles
structure: Roelofs-Johnson J45 (gyroelongated square bicupola) polyknot
components: triangles
structure: Roelofs-Johnson J46 (gyroelongated pentagonal bicupola) polyknot
components: triangles
structure: Roelofs-Johnson J47 (gyroelongated pentagonal cupolarotunda) polyknot
components: triangles
structure: Roelofs-Johnson J48 (gyroelongated pentagonal birotunda) polyknot
components: triangles
structure: Roelofs-Johnson J49 (augmented triangular prism) polyknot
components: triangles
structure: Roelofs-Johnson J50 (biaugmented triangular prism) polyknot
components: triangles
structure: Roelofs-Johnson J51 (triaugmented triangular prism) polyknot
components: triangles
structure: Roelofs-Johnson J52 (augmented pentagonal prism) polyknot
components: triangles
structure: Roelofs-Johnson J53 (biaugmented pentagonal prism) polyknot
components: triangles
structure: Roelofs-Johnson J54 (augmented hexagonal prism) polyknot
components: triangles
structure: Roelofs-Johnson J55 (parabiaugmented hexagonal prism) polyknot
components: triangles
structure: Roelofs-Johnson J56 (metabiaugmented hexagonal prism) polyknot
components: triangles
structure: Roelofs-Johnson J57 (triaugmented hexagonal prism) polyknot
components: triangles
structure: Roelofs-Johnson J58 (augmented dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J59 (parabiaugmented dodecahedron) polyknot
components: triangles
structure: Roelofs-Johnson J60 (metabiaugmented dodecahedron) polyknot
components: triangles