Parent
| Elements
| Dual
|
Facet layout
| Name
| SSC2
| Faces
| Edges
| Vertices
| Facet layout
| Name
| SSC2
|
|
| Tetrahedron | Kt1
| 4 | 6 | 4
| Self-dual
|
| Cube | Ko1
| 6 | 12 | 8
|
| Octahedron | Ko4
|
| Dodecahedron | Ki1
| 12 | 30 | 20
|
| Icosahedron | Ki4
|
|
| Stauromesohedron | Ko2
| 14 | 24 | 12
| Unknown
| Rhombic dodecahedron | Unknown
|
| Rhodomesohedron | Ki2
| 32 | 60 | 30
| Unknown
| Rhombic triacontahedron | Unknown
|
|
| Tetrahedral truncate | Kt3
| 8 | 18 | 12
| Unknown
| Triakis tetrahedron | Unknown
|
| Cubic truncate | Ko3
| 14 | 36 | 24
| Unknown
| Triakis octahedron | Unknown
|
| Dodecahedral truncate | Ki3
| 32 | 90 | 60
| Unknown
| Triakis icosahedron | Unknown
|
| Octahedral truncate | Ko6
| 14 | 36 | 24
| Unknown
| Tetrakis hexahedron | Unknown
|
| Icosahedral truncate | Ki6
| 32 | 90 | 60
| Unknown
| Pentakis dodecahedron | Unknown
|
|
| Triangular prism | +G3
| 5 | 9 | 6
| Unknown
| Triangular bipyramid | Unknown
|
| Pentagonal prism | +G5
| 7 | 15 | 10
| Unknown
| Pentagonal bipyramid | Unknown
|
| Hexagonal prism | +G6
| 8 | 18 | 12
| Unknown
| Hexagonal bipyramid | Unknown
|
| Octagonal prism | +G8
| 10 | 24 | 16
| Unknown
| Octagonal bipyramid | Unknown
|
| Decagonal prism | +G10
| 12 | 30 | 20
| Unknown
| Decagonal bipyramid | Unknown
|
|
| Square pyramid | &G4
| 5 | 8 | 5
| Self-dual
|
| Pentagonal pyramid | &G5
| 6 | 10 | 6
| Self-dual
|
| Hexagonal pyramid | &G6
| 7 | 12 | 7
| Self-dual
|
| Octagonal pyramid | &G8
| 9 | 16 | 9
| Self-dual
|
| Decagonal pyramid | &G10
| 11 | 20 | 11
| Self-dual
|
|
| Square antiprism | G4$H4
| 10 | 16 | 8
| Unknown
| Tetragonal trapezohedron | Unknown
|
| Pentagonal antiprism | G5$H5
| 12 | 20 | 10
| Unknown
| Pentagonal trapezohedron | Unknown
|
| Hexagonal antiprism | G6$H6
| 16 | 28 | 14
| Unknown
| Hexagonal trapezohedron | Unknown
|
| Octagonal antiprism | G8$H8
| 20 | 36 | 18
| Unknown
| Octagonal trapezohedron | Unknown
|
| Decagonal antiprism | G10$H10
| 24 | 44 | 22
| Unknown
| Decagonal trapezohedron | Unknown
|
|
| Trigonal expanded antitrapezohedron | Unknown
| 12 | 24 | 14
|
| Triangular orthobicupola | Unknown
|
| Tetragonal expanded antitrapezohedron | Unknown
| 16 | 32 | 18
|
| Square orthobicupola | Unknown
|
| Pentagonal expanded antitrapezohedron | Unknown
| 20 | 40 | 22
|
| Pentagonal orthobicupola | Unknown
|
|
| Snub staurohedron | Ko0
| 38 | 60 | 24
| Unknown
| Pentagonal icositetrahedron | Unknown
|
| Snub rhodohedron | Ki0
| 92 | 150 | 60
| Unknown
| Pentagonal hexecontahedron | Unknown
|
|
| Stauroperihedron | Ko5
| 26 | 48 | 24
| Unknown
| Deltoidal icositetrahedron | Unknown
|
| Rhodoperihedron | Ki5
| 62 | 120 | 60
| Unknown
| Deltoidal hexecontahedron | Unknown
|
|
| Stauropantohedron | Ko7
| 26 | 72 | 48
| Unknown
| Disdyakis dodecahedron | Unknown
|
| Rhodopantohedron | Ki7
| 62 | 180 | 120
| Unknown
| Disdyakis triacontahedron | Unknown
|
|
| Endotrikis antiprism | Unknown
| 10 | 15 | 7
| Unknown
| Trigonal trapezosemipyramid | Unknown
|
| Endotetrakis antiprism | Unknown
| 13 | 20 | 9
| Unknown
| Tetragonal trapezosemipyramid | Unknown
|
| Endopentakis antiprism | Unknown
| 16 | 25 | 11
| Unknown
| Pentagonal trapezosemipyramid | Unknown
|
|
| Tridiminished icosahedron | Unknown
| 8 | 15 | 9
| Unknown
| Unknown | Unknown
|
| Bilunabirotunda | Unknown
| 14 | 26 | 14
| Unknown
| Unknown | Unknown
|