Non-Convex Snub Polyhedra

Non-convex uniform snub and retrosnub polyhedra, characterized by chiral arrangements, interlacing star polygons, and rich configurations of surrounding triangular faces.

U32 Small Snub Icosicosidodecahedron
32 - Small Snub Icosicosidodecahedron
V: 60  |  E: 180  |  F: 112
Vertex Config: 3 · 3 · 3 · 3 · 3 · 5⁄2
Bowers: seside  |  TOCID: sID*
Wythoff: | 5⁄2 3 3
Kaleido: K37  |  Wenninger: 110
aka: Snub Disicosidodecahedron
Dual: (Small Hexagonal Hexecontahedron) Small Hexagonal Hexecontahedron
U40 Snub Dodecadodecahedron
40 - Snub Dodecadodecahedron
V: 60  |  E: 150  |  F: 84
Vertex Config: 3 · 3 · 5⁄2 · 3 · 5
Bowers: siddid  |  TOCID: sED*
Wythoff: | 2 5⁄2 5
Kaleido: K45  |  Wenninger: 111
Dual: (Medial Pentagonal Hexecontahedron) Medial Pentagonal Hexecontahedron
U46 Snub Icosidodecadodecahedron
46 - Snub Icosidodecadodecahedron
V: 60  |  E: 180  |  F: 104
Vertex Config: 3 · 3 · 3 · 5⁄3 · 3 · 5
Bowers: sided  |  TOCID: sDE*
Wythoff: | 5⁄3 3 5
Kaleido: K51  |  Wenninger: 112
aka: Icosisnub Dodecadodecahedron
Dual: (Medial Hexagonal Hexecontahedron) Medial Hexagonal Hexecontahedron
U57 Great Snub Icosidodecahedron
57 - Great Snub Icosidodecahedron
V: 60  |  E: 150  |  F: 92
Vertex Config: 3 · 3 · 3 · 3 · 5⁄2
Bowers: gosid  |  TOCID: sJE*
Wythoff: | 2 5⁄2 3
Kaleido: K62  |  Wenninger: 113
aka: Great Inverted Snub Icosidodecahedron
Dual: (Great Pentagonal Hexecontahedron) Great Pentagonal Hexecontahedron
U60 Inverted Snub Dodecadodecahedron
60 - Inverted Snub Dodecadodecahedron
V: 60  |  E: 150  |  F: 84
Vertex Config: 3 · 3 · 5⁄3 · 3 · 5
Bowers: isdid  |  TOCID: s'ED*
Wythoff: | 5⁄3 2 5
Kaleido: K65  |  Wenninger: 114
aka: Vertisnub Dodecadodecahedron
Dual: (Medial Inverted Pentagonal Hexecontahedron) Medial Inverted Pentagonal Hexecontahedron
U64 Great Snub Dodecicosidodecahedron
64 - Great Snub Dodecicosidodecahedron
V: 60  |  E: 180  |  F: 104
Vertex Config: 3 · 3 · 3 · 5⁄3 · 3 · 5⁄2
Bowers: gisdid  |  TOCID: SJE*
Wythoff: | 5⁄3 5⁄2 3
Kaleido: K69  |  Wenninger: 115
aka: Great Snub Icosidisdodecahedron / Great Dodecasnub Icosidodecahedron
Dual: (Great Hexagonal Hexecontahedron) Great Hexagonal Hexecontahedron
U69 Great Inverted Snub Icosidodecahedron
69 - Great Inverted Snub Icosidodecahedron
V: 60  |  E: 150  |  F: 92
Vertex Config: 3 · 3 · 3 · 3 · 5⁄3
Bowers: gisid  |  TOCID: s'JE*
Wythoff: | 5⁄3 2 3
Kaleido: K74  |  Wenninger: 116
aka: Great Vertisnub Icosidodecahedron
Dual: (Great Inverted Pentagonal Hexecontahedron) Great Inverted Pentagonal Hexecontahedron
U72 Small Retrosnub Icosicosidodecahedron
72 - Small Retrosnub Icosicosidodecahedron
V: 60  |  E: 180  |  F: 112
Vertex Config: (3 · 3 · 3 · 3 · 3 · 5⁄3)/2
Bowers: sirsid  |  TOCID: s*ID*
Wythoff: | 3⁄2 3⁄2 5⁄2
Kaleido: K77  |  Wenninger: 118
aka: Yog Sothoth / Small Inverted Retrosnub Icosicosidodecahedron / Small Retrosnub Disicosidodecahedron
Dual: (Small Hexagrammic Hexecontahedron) Small Hexagrammic Hexecontahedron
U74 Great Retrosnub Icosidodecahedron
74 - Great Retrosnub Icosidodecahedron
V: 60  |  E: 150  |  F: 92
Vertex Config: (3 · 3 · 3 · 3 · 5⁄2)/2
Bowers: girsid  |  TOCID: s*JE*
Wythoff: | 3⁄2 5⁄3 2
Kaleido: K79  |  Wenninger: 117
aka: Great Inverted Retrosnub Icosidodecahedron
Dual: (Great Pentagrammic Hexecontahedron) Great Pentagrammic Hexecontahedron