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. J21-40 are featured below, with the remainder spread across 4 other pages.Â
structure: Roelofs-Johnson J21 (elongated pentagonal rotunda) polyknot
components: triangles
structure: Roelofs-Johnson J22 (gyroelongated triangular cupola) polyknot
components: triangles
structure: Roelofs-Johnson J23 (gyroelongated square cupola) polyknot
components: triangles
structure: Roelofs-Johnson J24 (gyroelongated pentagonal cupola) polyknot
components: triangles
structure: Roelofs-Johnson J25 (gyroelongated pentagonal rotunda) polyknot
components: triangles
structure: Roelofs-Johnson J26 (gyrobifastigum) polyknot
components: triangles
structure: Roelofs-Johnson J27 (triangular orthobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J28 (square orthobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J29 (square gyrobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J30 (pentagonal orthobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J31 (pentagonal gyrobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J32 (pentagonal orthocupolarotunda) polyknot
components: triangles
structure: Roelofs-Johnson J33 (pentagonal gyrocupolarotunda) polyknot
components: triangles
structure: Roelofs-Johnson J34 (pentagonal orthobirotunda) polyknot
components: triangles
structure: Roelofs-Johnson J35 (elongated triangular orthobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J36 (elongated triangular gyrobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J37 (elongated square gyrobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J38 (elongated pentagonal orthobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J39 (elongated pentagonal gyrobicupola) polyknot
components: triangles
structure: Roelofs-Johnson J40 (elongated pentagonal orthocupolarotunda) polyknot
components: triangles