List of Wenninger Polyhedron Models - Uniform Nonconvex Solids W67 To W119

Uniform Nonconvex Solids W67 To W119

Index Name Picture Dual name Dual picture Wythoff symbol Vertex figure Symmetry group U# K# V E F Faces by type
67 Tetrahemihexahedron Tetrahemihexacron 3/23|2
4.3/2.4.3		 Td U04 K09 6 12 7 4{3}+3{4}
68 Octahemioctahedron Octahemioctacron 3/23|3
6.3/2.6.3		 Oh U03 K08 12 24 12 8{3}+4{6}
69 Small cubicuboctahedron Small hexacronic icositetrahedron 3/24|4
8.3/2.8.4		 Oh U13 K18 24 48 20 8{3}+6{4}+6{8}
70 Small ditrigonal icosidodecahedron Small triambic icosahedron 3|5/23
(5/2.3)3		 Ih U30 K35 20 60 32 20{3}+12{5/2}
71 Small icosicosidodecahedron Small icosacronic hexecontahedron 5/23|3
6.5/2.6.3		 Ih U31 K36 60 120 52 20{3}+12{5/2}+20{6}
72 Small dodecicosidodecahedron Small dodecacronic hexecontahedron 3/25|5
10.3/2.10.5		 Ih U33 K38 60 120 44 20{3}+12{5}+12{10}
73 Dodecadodecahedron Medial rhombic triacontahedron 2|5/25
(5/2.5)2		 Ih U36 K41 30 60 24 12{5}+12{5/2}
74 Small rhombidodecahedron Small rhombidodecacron 25/25|
10.4.10/9.4/3		 Ih U39 K44 60 120 42 30{4}+12{10}
75 Truncated great dodecahedron Small stellapentakis dodecahedron 25/2|5
10.10.5/2		 Ih U37 K42 60 90 24 12{5/2}+12{10}
76 Rhombidodecadodecahedron Medial deltoidal hexecontahedron 5/25|2
4.5/2.4.5		 Ih U38 K43 60 120 54 30{4}+12{5}+12{5/2}
77 Great cubicuboctahedron Great hexacronic icositetrahedron 3 4|4/3
8/3.3.8/3.4		 Oh U14 K19 24 48 20 8{3}+6{4}+6{8/3}
78 Cubohemioctahedron Hexahemioctacron 4/34|3
6.4/3.6.4		 Oh U15 K20 12 24 10 6{4}+4{6}
79 Cubitruncated cuboctahedron
(Cuboctatruncated cuboctahedron)		 Tetradyakis hexahedron 4/33 4|
8/3.6.8		 Oh U16 K21 48 72 20 8{6}+6{8}+6{8/3}
80 Ditrigonal dodecadodecahedron Medial triambic icosahedron 3|5/35
(5/3.5)3		 Ih U41 K46 20 60 24 12{5}+12{5/2
81 Great ditrigonal dodecicosidodecahedron Great ditrigonal dodecacronic hexecontahedron 3 5|5/3
10/3.3.10/3.5		 Ih U42 K47 60 120 44 20{3}+12{5}+12{10/3}
82 Small ditrigonal dodecicosidodecahedron Small ditrigonal dodecacronic hexecontahedron 5/33|5
10.5/3.10.3		 Ih U43 K48 60 120 44 20{3}+12{5/2}+12{10}
83 Icosidodecadodecahedron Medial icosacronic hexecontahedron 5/35|3
6.5/3.6.5		 Ih U44 K49 60 120 44 12{5}+12{5/2}+20{6}
84 Icositruncated dodecadodecahedron
(Icosidodecatruncated icosidodecahedron)		 Tridyakis icosahedron 5/33 5|
10/3.6.10		 Ih U45 K50 120 180 44 20{6}+12{10}+12{10/3}
85 Nonconvex great rhombicuboctahedron
(Quasirhombicuboctahedron)		 Great deltoidal icositetrahedron 3/24|2
4.3/2.4.4		 Oh U17 K22 24 48 26 8{3}+(6+12){4}
86 Small rhombihexahedron Small rhombihexacron 3/22 4|
4.8.4/3.8		 Oh U18 K23 24 48 18 12{4}+6{8}
87 Great ditrigonal icosidodecahedron Great triambic icosahedron 3/2|3 5
(5.3.5.3.5.3)/2		 Ih U47 K52 20 60 32 20{3}+12{5}
88 Great icosicosidodecahedron Great icosacronic hexecontahedron 3/25|3
6.3/2.6.5		 Ih U48 K53 60 120 52 20{3}+12{5}+20{6}
89 Small icosihemidodecahedron Small icosihemidodecacron 3/23|5
10.3/2.10.3		 Ih U49 K54 30 60 26 20{3}+6{10}
90 Small dodecicosahedron Small dodecicosacron 3/23 5|
10.6.10/9.6/5		 Ih U50 K55 60 120 32 20{6}+12{10}
91 Small dodecahemidodecahedron Small dodecahemidodecacron 5/45|5
10.5/4.10.5		 Ih U51 K56 30 60 18 12{5}+6{10}
92 Stellated truncated hexahedron
(Quasitruncated hexahedron)		 Great triakis octahedron 2 3|4/3
8/3.8/3.3		 Oh U19 K24 24 36 14 8{3}+6{8/3}
93 Great truncated cuboctahedron
(Quasitruncated cuboctahedron)		 Great disdyakis dodecahedron 4/32 3|
8/3.4.6		 Oh U20 K25 48 72 26 12{4}+8{6}+6{8/3}
94 Great icosidodecahedron Great rhombic triacontahedron 2|5/23
(5/2.3)2		 Ih U54 K59 30 60 32 20{3}+12{5/2}
95 Truncated great icosahedron Great stellapentakis dodecahedron 25/2|3
6.6.5/2		 Ih U55 K60 60 90 32 12{5/2}+20{6}
96 Rhombicosahedron Rhombicosacron 25/23|
6.4.6/5.4/3		 Ih U56 K61 60 120 50 30{4}+20{6}
97 Small stellated truncated dodecahedron
(Quasitruncated small stellated dodecahedron)		 Great pentakis dodecahedron 2 5|5/3
10/3.10/3.5		 Ih U58 K63 60 90 24 12{5}+12{10/3}
98 Truncated dodecadodecahedron
(Quasitruncated dodecahedron)		 Medial disdyakis triacontahedron 5/32 5|
10/3.4.10		 Ih U59 K64 120 180 54 30{4}+12{10}+12{10/3}
99 Great dodecicosidodecahedron Great dodecacronic hexecontahedron 5/23|5/3
10/3.5/2.10/3.3		 Ih U61 K66 60 120 44 20{3}+12{5/2}+12{10/3 }
100 Small dodecahemicosahedron Small dodecahemicosacron 5/35/2|3
6.5/3.6.5/2		 Ih U62 K67 30 60 22 12{5/2}+10{6}
101 Great dodecicosahedron Great dodecicosacron 5/35/23|
6.10/3.6/5.10/7		 Ih U63 K68 60 120 32 20{6}+12{10/3}
102 Great dodecahemicosahedron Great dodecahemicosacron 5/45|3
6.5/4.6.5		 Ih U65 K70 30 60 22 12{5}+10{6}
103 Great rhombihexahedron Great rhombihexacron 4/33/22|
4.8/3.4/3.8/5		 Oh U21 K26 24 48 18 12{4}+6{8/3}
104 Great stellated truncated dodecahedron
(Quasitruncated great stellated dodecahedron)		 Great triakis icosahedron 2 3|5/3
10/3.10/3.3		 Ih U66 K71 60 90 32 20{3}+12{10/3}
105 Nonconvex great rhombicosidodecahedron
(Quasirhombicosidodecahedron)		 Great deltoidal hexecontahedron 5/33|2
4.5/3.4.3		 Ih U67 K72 60 120 62 20{3}+30{4}+12{5/2}
106 Great icosihemidodecahedron Great icosihemidodecacron 3 3|5/3
10/3.3/2.10/3.3		 Ih U71 K76 30 60 26 20{3}+6{10/3}
107 Great dodecahemidodecahedron Great dodecahemidodecacron 5/35/2|5/3
10/3.5/3.10/3.5/2		 Ih U70 K75 30 60 18 12{5/2}+6{10/3}
108 Great truncated icosidodecahedron
(Great quasitruncated icosidodecahedron)		 Great disdyakis triacontahedron 5/32 3|
10/3.4.6		 Ih U68 K73 120 180 62 30{4}+20{6}+12{10/3}
109 Great rhombidodecahedron Great rhombidodecacron 3/25/32|
4.10/3.4/3.10/7		 Ih U73 K78 60 120 42 30{4}+12{10/3}
110 Small snub icosicosidodecahedron Small hexagonal hexecontahedron |5/23 3
3.3.3.3.3.5/2		 Ih U32 K37 60 180 112 (40+60){3}+12{5/2}
111 Snub dodecadodecahedron Medial pentagonal hexecontahedron |25/25
3.3.5/2.3.5		 I U40 K45 60 150 84 60{3}+12{5}+12{5/2}
112 Snub icosidodecadodecahedron Medial hexagonal hexecontahedron |5/33 5
3.3.3.3.5.5/3		 I U46 K51 60 180 104 (20+6){3}+12{5}+12{5/2}
113 Great inverted snub icosidodecahedron Great inverted pentagonal hexecontahedron |5/32 3
3.3.3.3.5/3		 I U69 K74 60 150 92 (20+60){3}+12{5/2}
114 Inverted snub dodecadodecahedron Medial inverted pentagonal hexecontahedron |5/32 5
3.5/3.3.3.5		 I U60 K65 60 150 84 60{3}+12{5}+12{5/2}
115 Great snub dodecicosidodecahedron Great hexagonal hexecontahedron |5/35/23
3.5/3.3.5/2.3.3		 I U64 K69 60 180 104 (20+60){3}+(12+12){5/2}
116 Great snub icosidodecahedron Great pentagonal hexecontahedron |25/25/2
3.3.3.3.5/2		 I U57 K62 60 150 92 (20+60){3}+12{5/2}
117 Great retrosnub icosidodecahedron Great pentagrammic hexecontahedron |3/25/32
(3.3.3.3.5/3)/2		 I U74 K79 60 150 92 (20+60){3}+12{5/2}
118 Small retrosnub icosicosidodecahedron Small hexagrammic hexecontahedron |3/23/25/2
(3.3.3.3.3.5/2)/2		 Ih U72 K77 180 60 112 (40+60){3}+12{5/2}
119 Great dirhombicosidodecahedron Great dirhombicosidodecacron |3/25/335/2
Ih U75 K80 60 240 124 40{3}+60{4}+24{5/2}

Read more about this topic:  List Of Wenninger Polyhedron Models

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