Polyhedra in OpenSCAD

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Name Groups #Vertices Vertex orders #Faces Face orders #Edges Conway
Anti-Heptagonal Iris Toroid  dmccooeyRegular Triangular Toroidalconcave 14 14 of 6 28 28 of 3 40
Anti-Hexagonal Iris Toroid  dmccooeyRegular Triangular Toroidalconcave 12 12 of 6 24 24 of 3 34
Anti-Octagonal Iris Toroid #1  dmccooeyRegular Triangular Toroidalconcave 16 16 of 6 32 32 of 3 46
Anti-Octagonal Iris Toroid #2  dmccooeyRegular Triangular Toroidalconcave 16 16 of 6 32 32 of 3 46
Borromean Rings  dmccooeyRegular Tetragonal Toroidalconcave 36 36 of 4 36 36 of 4 70
Cairo-Tiling Toroid with 16 faces (type A) (8 faces overarching)  dmccooeyNon-Regular Toroidalconcave 24 16 of 3,8 of 4 16 16 of 5 38
Cairo-Tiling Toroid with 16 faces (type B) (square form)  dmccooeyNon-Regular Toroidalconcave 24 16 of 3,8 of 4 16 16 of 5 38
Cairo-Tiling Toroid with 16 faces (type C) (boomerang form)  dmccooeyNon-Regular Toroidalconcave 24 8 of 4,16 of 3 16 16 of 5 38
Cairo-Tiling Toroid with 8 overarching faces (version 1)  dmccooeyNon-Regular Toroidalconcave 12 8 of 3,4 of 4 8 8 of 5 18
Concave Dodecahedron  dmccooeyconcaveOther 20 20 of 3 12 12 of 5 30
Császár Polyhedron (version 4)  dmccooeyRegular Triangular Toroidalconcave 7 7 of 6 14 14 of 3 19
Cube-Octahedron Compound  dmccooeyconcaveOther 14 8 of 3,6 of 4 14 6 of 4,8 of 3 26 y0.57C
Cube-Octahedron Toroid  dmccooeyNon-Regular Toroidalconcave 12 6 of 3,6 of 5 12 6 of 5,6 of 3 22
Cubitruncated Cuboctahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 48 48 of 3 20 12 of 8,8 of 6 66
Cubohemioctahedron  dmccooeyVersi-Regularconcave 12 12 of 4 10 4 of 6,6 of 4 20 k(h=-0.65,fn=[3])aC
Ditrigonal Dodecadodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 20 20 of 6 24 24 of 5 42
Dodecadodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 30 30 of 4 24 24 of 5 52
Dodecahedron-Icosahedron Compound  dmccooeyconcaveOther 32 20 of 3,12 of 5 32 12 of 5,20 of 3 62 y0.3D
Escher's Solid  dmccooeyconcaveOther 26 6 of 8,12 of 4,8 of 6 48 48 of 3 72 k(h=0.76)KjC
Excavated Dodecahedron  concavedeltahedron k(h=-0.25)D
Great Cubicuboctahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 24 24 of 4 20 6 of 8,6 of 4,8 of 3 42
Great Deltoidal Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 62 30 of 4,20 of 3,12 of 5 60 60 of 4 120
Great Deltoidal Icositetrahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 26 18 of 4,8 of 3 24 24 of 4 48
Great Dirhombicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 8 124 24 of 5,60 of 4,40 of 3 182
Great Disdyakis Dodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 26 6 of 8,12 of 4,8 of 6 48 48 of 3 72
Great Disdyakis Triacontahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 62 30 of 4,20 of 6,12 of 10 120 120 of 3 180
Great Ditrigonal Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 12 of 10,20 of 3,12 of 5 60 60 of 4 102
Great Ditrigonal Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 44 12 of 10,12 of 5,20 of 3 102
Great Ditrigonal Icosidodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 20 20 of 6 32 12 of 5,20 of 3 50
Great Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 12 of 10,20 of 3,12 of 5 60 60 of 4 102
Great Dodecahedron  dmccooeyKepler-Poinsotconcave 12 12 of 5 12 12 of 5 22 k(h=-0.2)I
Great Dodecahemicosahedron  dmccooeyVersi-Regularconcave 30 30 of 4 22 10 of 6,12 of 5 50
Great Dodecahemidodecahedron  dmccooeyVersi-Regularconcave 30 30 of 4 18 6 of 10,12 of 5 46
Great Dodecicosacron  dmccooeyVersi-Quasi-Regular Dualsconcave 32 12 of 10,20 of 6 60 60 of 4 90
Great Dodecicosahedron  dmccooeyVersi-Quasi-Regularconcave 60 60 of 4 32 12 of 10,20 of 6 90
Great Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 44 12 of 10,12 of 5,20 of 3 102
Great Hexacronic Icositetrahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 20 6 of 8,6 of 4,8 of 3 24 24 of 4 42
Great Hexagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 104 80 of 3,24 of 5 60 60 of 6 162
Great Icosacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 52 20 of 6,12 of 5,20 of 3 60 60 of 4 110
Great Icosahedron  dmccooeyKepler-Poinsotconcave 12 12 of 5 20 20 of 3 30 k(h=-0.2)k(h=1)D
Great Icosicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 52 20 of 6,12 of 5,20 of 3 110
Great Icosidodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 30 30 of 4 32 12 of 5,20 of 3 60
Great Icosihemidodecahedron  dmccooeyVersi-Regularconcave 30 30 of 4 26 6 of 10,20 of 3 54
Great Inverted pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 92 80 of 3,12 of 5 60 60 of 5 150
Great Inverted Snub Icosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 5 92 12 of 5,80 of 3 150
Great pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 92 80 of 3,12 of 5 60 60 of 5 150
Great pentagrammic Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 92 80 of 3,12 of 5 60 60 of 5 150
Great Pentakis Dodecahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 24 12 of 10,12 of 5 60 60 of 3 82
Great Retrosnub Icosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 5 92 12 of 5,80 of 3 150
Great Rhombic Triacontahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 32 12 of 5,20 of 3 30 30 of 4 60
Great Rhombidodecacron  dmccooeyVersi-Quasi-Regular Dualsconcave 42 12 of 10,30 of 4 60 60 of 4 100
Great Rhombidodecahedron  dmccooeyVersi-Quasi-Regularconcave 60 60 of 4 42 12 of 10,30 of 4 100
Great Rhombihexacron  dmccooeyVersi-Quasi-Regular Dualsconcave 18 6 of 8,12 of 4 24 24 of 4 40
Great Rhombihexahedron  dmccooeyVersi-Quasi-Regularconcave 24 24 of 4 18 6 of 8,12 of 4 40
Great Snub Dodecicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 6 104 24 of 5,80 of 3 162
Great Snub Icosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 5 92 12 of 5,80 of 3 150
Great Stellapentakis Dodecahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 32 20 of 6,12 of 5 60 60 of 3 90
Great Stellated Dodecahedron  Stellated Great Dodecahedron dmccooeyKepler-Poinsotconcave 20 20 of 3 12 12 of 5 30 k(h=1.6)I
Great Stellated Truncated Dodecahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 60 of 3 32 12 of 10,20 of 3 90
Great Triakis Icosahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 32 12 of 10,20 of 3 60 60 of 3 90
Great Triakis Octahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 14 6 of 8,8 of 3 24 24 of 3 36
Great Triambic Icosahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 32 20 of 3,12 of 5 20 20 of 6 50
Great Truncated Cuboctahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 48 48 of 3 26 6 of 8,8 of 6,12 of 4 72
Great Truncated Icosidodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 120 120 of 3 62 12 of 10,20 of 6,30 of 4 180
Heptagonal Dodecahedron (type A) (C3-symmetric form 3)  dmccooeyHigher Genus Toroidalconcave 28 28 of 3 12 12 of 7 38
Heptagonal Dodecahedron (type A) (S4-symmetric form 1)  dmccooeyHigher Genus Toroidalconcave 28 28 of 3 12 12 of 7 38
Heptagonal Dodecahedron (type B) (form 1)  dmccooeyHigher Genus Toroidalconcave 28 28 of 3 12 12 of 7 38
Heptagonal Dodecahedron (type C) (form 1)  dmccooeyHigher Genus Toroidalconcave 28 28 of 3 12 12 of 7 38
Heptagonal Dodecahedron (type D) (form 3)  dmccooeyHigher Genus Toroidalconcave 28 28 of 3 12 12 of 7 38
Heptagonal Dodecahedron (type E) (form 1)  dmccooeyHigher Genus Toroidalconcave 28 28 of 3 12 12 of 7 38
Heptagonal Iris Toroid  dmccooeyNon-Regular Toroidalconcave 14 14 of 5 21 7 of 4,14 of 3 33
Heptagrammic 7/2 Antiprism  dmccooeyStar Prisms and Antiprismsconcave 14 14 of 4 16 2 of 7,14 of 3 28
Heptagrammic 7/2 Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 9 2 of 7,7 of 4 14 14 of 3 21
Heptagrammic 7/2 Prism  dmccooeyStar Prisms and Antiprismsconcave 14 14 of 3 9 2 of 7,7 of 4 21
Heptagrammic 7/2 Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 16 2 of 7,14 of 3 14 14 of 4 28
Heptagrammic 7/3 Antiprism  dmccooeyStar Prisms and Antiprismsconcave 14 14 of 4 16 2 of 7,14 of 3 28
Heptagrammic 7/3 Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 9 2 of 7,7 of 4 14 14 of 3 21
Heptagrammic 7/3 Prism  dmccooeyStar Prisms and Antiprismsconcave 14 14 of 3 9 2 of 7,7 of 4 21
Heptagrammic 7/3 Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 16 2 of 7,14 of 3 14 14 of 4 28
Heptagrammic Concave Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 16 2 of 7,14 of 3 14 14 of 4 28
Heptagrammic Crossed Antiprism  dmccooeyStar Prisms and Antiprismsconcave 14 14 of 4 16 2 of 7,14 of 3 28
Hexagonal Antiprism-Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 24 12 of 5,12 of 3 24 12 of 5,12 of 3 46
Hexagonal Toroid with 8 overarching faces  dmccooeyRegular Hexagonal Toroidalconcave 16 16 of 3 8 8 of 6 22
Hexagonal Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 36 12 of 4,24 of 3 24 24 of 5 58
Hexagonal Trapezohedron-Antiprism Toroid  dmccooeyNon-Regular Toroidalconcave 24 12 of 5,12 of 3 24 12 of 5,12 of 3 46
Hugel's Polyhedron  concavedmccooeyOther 20 20 of 6 20 20 of 6 38 i(r=0.2,h=-0.5)D
Icosidodecadodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 44 20 of 6,24 of 5 102
Icositruncated Dodecadodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 120 120 of 3 44 24 of 10,20 of 6 162
Inverted Snub Dodecadodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 5 84 24 of 5,60 of 3 142
Isohedral Toroid with 24 faces  dmccooeyNon-Regular Toroidalconcave 12 6 of 7,6 of 5 24 24 of 3 34
Jessen's Orthogonal Icosahedron  dmccooeyconcaveOther 12 12 of 5 20 20 of 3 30
Klein Map Dual {3,7}8 (Schulte & Wills)  dmccooeyHigher Genus Toroidalconcave 24 24 of 7 56 56 of 3 78
Klein Map {7,3}8 (basic shape)  dmccooeyHigher Genus Toroidalconcave 56 56 of 3 24 24 of 7 78
Knotted Dodecahedron  dmccooeyNon-Regular Toroidalconcave 18 12 of 3,6 of 4 12 6 of 4,6 of 6 28
Medial Deltoidal Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 54 30 of 4,24 of 5 60 60 of 4 112
Medial Disdyakis Triacontahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 54 24 of 10,30 of 4 120 120 of 3 172
Medial Hexagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 104 24 of 5,80 of 3 60 60 of 6 162
Medial Icosacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 20 of 6,24 of 5 60 60 of 4 102
Medial Inverted pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 84 24 of 5,60 of 3 60 60 of 5 142
Medial pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 84 24 of 5,60 of 3 60 60 of 5 142
Medial Rhombic Triacontahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 24 24 of 5 30 30 of 4 52
Medial Triambic Icosahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 24 24 of 5 20 20 of 6 42
Octagonal Iris Toroid  dmccooeyNon-Regular Toroidalconcave 16 16 of 5 24 8 of 4,16 of 3 38
Octagrammic Antiprism  dmccooeyStar Prisms and Antiprismsconcave 16 16 of 4 18 2 of 8,16 of 3 32
Octagrammic Concave Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 18 2 of 8,16 of 3 16 16 of 4 32
Octagrammic Crossed Antiprism  dmccooeyStar Prisms and Antiprismsconcave 16 16 of 4 18 2 of 8,16 of 3 32
Octagrammic Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 10 2 of 8,8 of 4 16 16 of 3 24
Octagrammic Prism  dmccooeyStar Prisms and Antiprismsconcave 16 16 of 3 10 2 of 8,8 of 4 24
Octagrammic Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 18 2 of 8,16 of 3 16 16 of 4 32
Octahemioctahedron  dmccooeyVersi-Regularconcave 12 12 of 4 12 4 of 6,8 of 3 22 k(h=-0.7,fn=[4])aC
pentagonal Antiprism-Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 20 10 of 5,10 of 3 20 10 of 5,10 of 3 38
pentagonal Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 30 20 of 3,10 of 4 20 20 of 5 48
pentagonal Trapezohedron-Antiprism Toroid  dmccooeyNon-Regular Toroidalconcave 20 20 10 of 3,10 of 5 38
Pentagrammic Antiprism  dmccooeyStar Prisms and Antiprismsconcave 10 10 of 4 12 2 of 5,10 of 3 20
pentagrammic Concave Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 12 10 of 3,2 of 5 10 10 of 4 20
Pentagrammic Crossed Antiprism  dmccooeyStar Prisms and Antiprismsconcave 10 10 of 4 12 2 of 5,10 of 3 20
Pentagrammic Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 7 2 of 5,5 of 4 10 10 of 3 15
Pentagrammic Prism  dmccooeyStar Prisms and Antiprismsconcave 10 10 of 3 7 2 of 5,5 of 4 15
pentagrammic Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 12 10 of 3,2 of 5 10 10 of 4 20
Regular Hexagonal Toroid with 10 faces (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 20 20 of 3 10 10 of 6 28
Regular Hexagonal Toroid with 11 faces  dmccooeyRegular Hexagonal Toroidalconcave 22 22 of 3 11 11 of 6 31
Regular Hexagonal Toroid with 12 faces (type A) (trapezohedral form)  dmccooeyRegular Hexagonal Toroidalconcave 24 24 of 3 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type B)  dmccooeyRegular Hexagonal Toroidalconcave 24 24 of 3 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type C) (knot form)  dmccooeyRegular Hexagonal Toroidalconcave 24 24 of 3 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type C) (simple form)  dmccooeyRegular Hexagonal Toroidalconcave 24 24 of 3 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type D) (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 24 24 of 3 12 12 of 6 34
Regular Hexagonal Toroid with 13 faces (type A)  dmccooeyRegular Hexagonal Toroidalconcave 26 26 of 3 13 13 of 6 37
Regular Hexagonal Toroid with 13 faces (type B) (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 26 26 of 3 13 13 of 6 37
Regular Hexagonal Toroid with 14 faces (type A) (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 28 28 of 3 14 14 of 6 40
Regular Hexagonal Toroid with 14 faces (type B)  dmccooeyRegular Hexagonal Toroidalconcave 28 28 of 3 14 14 of 6 40
Regular Hexagonal Toroid with 15 faces (type A) (knot form 2)  dmccooeyRegular Hexagonal Toroidalconcave 30 30 of 3 15 15 of 6 43
Regular Hexagonal Toroid with 15 faces (type A) (version 1)  dmccooeyRegular Hexagonal Toroidalconcave 30 30 of 3 15 15 of 6 43
Regular Hexagonal Toroid with 15 faces (type D) (version 6)  dmccooeyRegular Hexagonal Toroidalconcave 30 30 of 3 15 15 of 6 43
Regular Hexagonal Toroid with 24 faces  dmccooeyRegular Hexagonal Toroidalconcave 48 48 of 3 24 24 of 6 70
Regular Hexagonal Toroid with 8 faces (D2 symmetry)  dmccooeyRegular Hexagonal Toroidalconcave 16 16 of 3 8 8 of 6 22
Regular Hexagonal Toroid with 8 faces (version 1)  dmccooeyRegular Hexagonal Toroidalconcave 16 16 of 3 8 8 of 6 22
Regular Hexagonal Toroid with 9 faces (type A) (cubic form)  dmccooeyRegular Hexagonal Toroidalconcave 18 18 of 3 9 9 of 6 25
Regular Hexagonal Toroid with 9 faces (type A) (triangular form)  dmccooeyRegular Hexagonal Toroidalconcave 18 18 of 3 9 9 of 6 25
Regular Hexagonal Toroid with 9 faces (type B)  dmccooeyRegular Hexagonal Toroidalconcave 18 18 of 3 9 9 of 6 25
Regular Map {4,6}10 (Schulte & Wills)  dmccooeyHigher Genus Toroidalconcave 20 20 of 6 30 30 of 4 48
Regular Map {6,4}10 (Schulte & Wills)  dmccooeyHigher Genus Toroidalconcave 30 30 of 4 20 20 of 6 48
Regular Tetragonal Toroid with 18 faces (type A) (version 1)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 of 4 18 18 of 4 34
Regular Tetragonal Toroid with 18 faces (type A) (version 2)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 of 4 18 18 of 4 34
Regular Tetragonal Toroid with 18 faces (type B) (antiprismatic form)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 of 4 18 18 of 4 34
Regular Tetragonal Toroid with 18 faces (type B) (cubic form)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 of 4 18 18 of 4 34
Regular Tetragonal Toroid with 9 faces  dmccooeyRegular Tetragonal Toroidalconcave 9 9 of 4 9 9 of 4 16
Regular Triangular Toroid with 16 faces  dmccooeyRegular Triangular Toroidalconcave 8 8 of 6 16 16 of 3 22
Regular Triangular Toroid with 18 faces (type A) (triangular form)  dmccooeyRegular Triangular Toroidalconcave 9 9 of 6 18 18 of 3 25
Regular Triangular Toroid with 18 faces (type B)  dmccooeyRegular Triangular Toroidalconcave 9 9 of 6 18 18 of 3 25
Regular Triangular Toroid with 20 faces  dmccooeyRegular Triangular Toroidalconcave 10 10 of 6 20 20 of 3 28
Regular Triangular Toroid with 22 faces  dmccooeyRegular Triangular Toroidalconcave 11 11 of 6 22 22 of 3 31
Regular Triangular Toroid with 24 faces (type A) (square form)  dmccooeyRegular Triangular Toroidalconcave 12 12 of 6 24 24 of 3 34
Regular Triangular Toroid with 24 faces (type B)  dmccooeyRegular Triangular Toroidalconcave 12 12 of 6 24 24 of 3 34
Regular Triangular Toroid with 24 faces (type C)  dmccooeyRegular Triangular Toroidalconcave 12 12 of 6 24 24 of 3 34
Regular Triangular Toroid with 24 faces (type D)  dmccooeyRegular Triangular Toroidalconcave 12 12 of 6 24 24 of 3 34
Rhombic Dodecahemioctahedron  Space-fillingconcave 13 4 of 4,8 of 5,1 of 8 20 16 of 3,4 of 4 31
Rhombicosacron  dmccooeyVersi-Quasi-Regular Dualsconcave 50 20 of 6,30 of 4 60 60 of 4 108
Rhombicosahedron  dmccooeyVersi-Quasi-Regularconcave 60 60 of 4 50 20 of 6,30 of 4 108
Rhombidodecadodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 54 24 of 5,30 of 4 112
Schönhardt Polyhedron  dmccooeyconcaveOther 6 6 of 4 8 8 of 3 12
Small Cubicuboctahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 24 24 of 4 20 6 of 8,6 of 4,8 of 3 42
Small Ditrigonal Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 12 of 10,20 of 3,12 of 5 60 60 of 4 102
Small Ditrigonal Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 44 12 of 10,12 of 5,20 of 3 102
Small Ditrigonal Icosidodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 20 20 of 6 32 12 of 5,20 of 3 50
Small Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 12 of 10,20 of 3,12 of 5 60 60 of 4 102
Small Dodecahemicosahedron  dmccooeyVersi-Regularconcave 30 30 of 4 22 10 of 6,12 of 5 50
Small Dodecahemidodecahedron  dmccooeyVersi-Regularconcave 30 30 of 4 18 6 of 10,12 of 5 46 k(h=-0.94,fn=[3])aD
Small Dodecicosacron  dmccooeyVersi-Quasi-Regular Dualsconcave 32 12 of 10,20 of 6 60 60 of 4 90
Small Dodecicosahedron  dmccooeyVersi-Quasi-Regularconcave 60 60 of 4 32 12 of 10,20 of 6 90
Small Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 44 12 of 10,12 of 5,20 of 3 102
Small Hexacronic Icositetrahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 20 6 of 8,6 of 4,8 of 3 24 24 of 4 42
Small Hexagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 112 100 of 3,12 of 5 60 60 of 6 170
Small Hexagrammic Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 112 100 of 3,12 of 5 60 60 of 6 170
Small Icosacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 52 20 of 6,12 of 5,20 of 3 60 60 of 4 110
Small Icosicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 52 20 of 6,12 of 5,20 of 3 110
Small Icosihemidodecahedron  dmccooeyVersi-Regularconcave 30 30 of 4 26 6 of 10,20 of 3 54 k(5,h=0.5)aD
Small Retrosnub Icosicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 6 112 12 of 5,100 of 3 170
Small Rhombidodecacron  dmccooeyVersi-Quasi-Regular Dualsconcave 42 12 of 10,30 of 4 60 60 of 4 100
Small Rhombidodecahedron  dmccooeyVersi-Quasi-Regularconcave 60 60 of 4 42 12 of 10,30 of 4 100
Small Rhombihexacron  dmccooeyVersi-Quasi-Regular Dualsconcave 18 6 of 8,12 of 4 24 24 of 4 40
Small Rhombihexahedron  dmccooeyVersi-Quasi-Regularconcave 24 24 of 4 18 6 of 8,12 of 4 40
Small Snub Icosicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 6 112 12 of 5,100 of 3 170
Small Stellapentakis Dodecahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 24 12 of 10,12 of 5 60 60 of 3 82
Small Stellated Dodecahedron  Stellated Dodecahedron dmccooeyKepler-Poinsotconcave 12 12 of 5 12 12 of 5 22 k(h=1)D
Small Stellated Truncated Dodecahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 60 of 3 24 12 of 10,12 of 5 82
Small Triambic Icosahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 32 20 of 3,12 of 5 20 20 of 6 50
Snub Dodecadodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 5 84 24 of 5,60 of 3 142
Snub Icosidodecadodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 60 of 6 104 24 of 5,80 of 3 162
Square Antiprism-Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 16 8 of 5,8 of 3 16 8 of 5,8 of 3 30
Stella Octangula  Stellated Octahedron, Tetrahedron-Tetrahedron Compound dmccooeyconcaveOther 8 8 of 3 8 8 of 3 14 y0.65O
Stellated Truncated Hexahedron  dmccooeySelf-Intersecting Truncated Regularconcave 24 24 of 3 14 6 of 8,8 of 3 36
Stewart's G3  dmccooeyconcaveOther 13 7 of 3,3 of 4,3 of 5 13 3 of 5,3 of 4,7 of 3 24
Szilassi Polyhedron (version 1)  dmccooeyRegular Hexagonal Toroidalconcave 14 14 of 3 7 7 of 6 19
Tetradyakis Hexahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 20 12 of 8,8 of 6 48 48 of 3 66
Tetragonal Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 24 8 of 4,16 of 3 16 16 of 5 38
Tetragonal Trapezohedron-Antiprism Toroid  dmccooeyNon-Regular Toroidalconcave 16 8 of 5,8 of 3 16 8 of 5,8 of 3 30
Tetrahemihexahedron  dmccooeyVersi-Regularconcave 6 6 of 4 7 3 of 4,4 of 3 11
Toroid with regular faces  dmccooeyNon-Regular Toroidalconcave 30 15 of 3,12 of 4,3 of 5 24 9 of 6,9 of 4,6 of 3 52
Tridyakis Icosahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 44 24 of 10,20 of 6 120 120 of 3 162
Truncated Dodecadodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 120 120 of 3 54 24 of 10,30 of 4 172
Truncated Great Dodecahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 60 of 3 24 12 of 10,12 of 5 82
Truncated Great Icosahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 60 of 3 32 20 of 6,12 of 5 90
Uniform Great Rhombicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 60 of 4 62 12 of 5,30 of 4,20 of 3 120
Uniform Great Rhombicuboctahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 24 24 of 4 26 18 of 4,8 of 3 48