List of Wenninger polyhedron models

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This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger.

The book was written as a guide book to building polyhedra as physical models. It includes templates of face elements for construction and helpful hints in building, and also brief descriptions on the theory behind these shapes. It contains the 75 nonprismatic uniform polyhedra, as well as 44 stellated forms of the convex regular and quasiregular polyhedra.

Models listed here can be cited as "Wenninger Model Number N", or WN for brevity.

The polyhedra are grouped in 5 tables: Regular (1–5), Semiregular (6–18), regular star polyhedra (20–22,41), Stellations and compounds (19–66), and uniform star polyhedra (67–119). The four regular star polyhedra are listed twice because they belong to both the uniform polyhedra and stellation groupings.

Platonic solids (regular convex polyhedra) W1 to W5

Index Name Picture Dual name Dual picture Wythoff symbol Vertex figure
and Schläfli symbol
Symmetry group U# K# V E F Faces by type
1 Tetrahedron Tetrahedron.png Tetrahedron Tetrahedron.png 3|2 3 Tetrahedron vertfig.png
{3,3}
Td U01 K06 4 6 4 4{3}
2 Octahedron Octahedron.png Hexahedron Hexahedron.png 4|2 3 Octahedron vertfig.svg
{3,4}
Oh U05 K10 6 12 8 8{3}
3 Hexahedron (Cube) Hexahedron.png Octahedron Octahedron.png 3|2 4 Cube vertfig.png
{4,3}
Oh U06 K11 8 12 6 6{4}
4 Icosahedron Icosahedron.png Dodecahedron Dodecahedron.png 5|2 3 Icosahedron vertfig.png
{3,5}
Ih U22 K27 12 30 20 20{3}
5 Dodecahedron Dodecahedron.png Icosahedron Icosahedron.png 3|2 5 Dodecahedron vertfig.png
{5,3}
Ih U23 K28 20 30 12 12{5}

Archimedean solids (Semiregular) W6 to W18

Index Name Picture Dual name Dual picture Wythoff symbol Vertex figure Symmetry group U# K# V E F Faces by type
6 Truncated tetrahedron Truncated tetrahedron.png triakis tetrahedron Triakis tetrahedron 2 3|3 Truncated tetrahedron vertfig.png
3.6.6
Td U02 K07 12 18 8 4{3} + 4{6}
7 Truncated octahedron Truncated octahedron.png tetrakis hexahedron Tetrakis hexahedron 2 4|3 Truncated octahedron vertfig.png
4.6.6
Oh U08 K13 14 36 24 6{4} + 8{6}
8 Truncated hexahedron Truncated hexahedron.png triakis octahedron Triakis octahedron 2 3|4 Truncated cube vertfig.png
3.8.8
Oh U09 K14 24 36 14 8{3} + 6{8}
9 Truncated icosahedron Truncated icosahedron.png pentakis dodecahedron Pentakis dodecahedron 2 5|3 Truncated icosahedron vertfig.png
5.6.6
Ih U25 K30 60 90 32 12{5} + 20{6}
10 Truncated dodecahedron Truncated dodecahedron.png triakis icosahedron Triakis icosahedron 2 3|5 Truncated dodecahedron vertfig.png
3.10.10
Ih U26 K31 60 90 32 20{3} + 12{10}
11 Cuboctahedron Cuboctahedron.png rhombic dodecahedron Rhombic dodecahedron 2|3 4 Cuboctahedron vertfig.png
3.4.3.4
Oh U07 K12 12 24 14 8{3} + 6{4}
12 Icosidodecahedron Icosidodecahedron.png rhombic triacontahedron Rhombic triacontahedron 2|3 5 Icosidodecahedron vertfig.png
3.5.3.5
Ih U24 K29 30 60 32 20{3} + 12{5}
13 Small rhombicuboctahedron Small rhombicuboctahedron.png deltoidal icositetrahedron Deltoidal icositetrahedron 3 4|2 Small rhombicuboctahedron vertfig.png
3.4.4.4
Oh U10 K15 24 48 26 8{3}+(6+12){4}
14 Small rhombicosidodecahedron Small rhombicosidodecahedron.png deltoidal hexecontahedron Deltoidal hexecontahedron 3 5|2 Small rhombicosidodecahedron vertfig.png
3.4.5.4
Ih U27 K32 60 120 62 20{3} + 30{4} + 12{5}
15 Truncated cuboctahedron
(Great rhombicuboctahedron)
Great rhombicuboctahedron.png disdyakis dodecahedron Disdyakis dodecahedron 2 3 4| Great rhombicuboctahedron vertfig.png
4.6.8
Oh U11 K16 48 72 26 12{4} + 8{6} + 6{8}
16 Truncated icosidodecahedron
(Great rhombicosidodecahedron)
Great rhombicosidodecahedron.png disdyakis triacontahedron Disdyakis triacontahedron 2 3 5| Great rhombicosidodecahedron vertfig.png
4.6.10
Ih U28 K33 120 180 62 30{4} + 20{6} + 12{10}
17 Snub cube Snub hexahedron.png pentagonal icositetrahedron Pentagonal icositetrahedron |2 3 4 Snub cube vertfig.png
3.3.3.3.4
O U12 K17 24 60 38 (8 + 24){3} + 6{4}
18 Snub dodecahedron Snub dodecahedron ccw.png pentagonal hexecontahedron Pentagonal hexecontahedron |2 3 5 Snub dodecahedron vertfig.png
3.3.3.3.5
I U29 K34 60 150 92 (20 + 60){3} + 12{5}

Kepler–Poinsot polyhedra (Regular star polyhedra) W20, W21, W22 and W41

Index Name Picture Dual name Dual picture Wythoff symbol Vertex figure
and Schläfli symbol
Symmetry group U# K# V E F Faces by type
20 Small stellated dodecahedron Small stellated dodecahedron.png Great dodecahedron Great dodecahedron.png 5|25/2 Small stellated dodecahedron vertfig.png
{5/2,5}
Ih U34 K39 12 30 12 12{5/2}
21 Great dodecahedron Great dodecahedron.png Small stellated dodecahedron Small stellated dodecahedron.png 5/2|2 5 Great dodecahedron vertfig.png
{5,5/2}
Ih U35 K40 12 30 12 12{5}
22 Great stellated dodecahedron Great stellated dodecahedron.png Great icosahedron Great icosahedron.png 3|25/2 Great stellated dodecahedron vertfig.png
{5/2,3}
Ih U52 K57 20 30 12 12{5/2}
41 Great icosahedron
(16th stellation of icosahedron)
Great icosahedron.png Great stellated dodecahedron Great stellated dodecahedron.png 5/2|2 3 Great icosahedron vertfig.svg
{3,5/2}
Ih U53 K58 12 30 20 20{3}

Stellations: models W19 to W66

Stellations of octahedron

Index Name Symmetry group Picture Facets
2 Octahedron
(regular)
Oh Zeroth stellation of octahedron.png Zeroth stellation of octahedron facets.png
19 Stellated octahedron
(Compound of two tetrahedra)
Oh First stellation of octahedron.png Stellation of octahedron facets.png

Stellations of dodecahedron

Index Name Symmetry group Picture Facets
5 Dodecahedron (regular) Ih Zeroth stellation of dodecahedron.png Zeroth stellation of dodecahedron facets.svg
20 Small stellated dodecahedron (regular)
(First stellation of dodecahedron)
Ih First stellation of dodecahedron.png First stellation of dodecahedron facets.svg
21 Great dodecahedron (regular)
(Second stellation of dodecahedron)
Ih Second stellation of dodecahedron.png Second stellation of dodecahedron facets.svg
22 Great stellated dodecahedron (regular)
(Third stellation of dodecahedron)
Ih Third stellation of dodecahedron.png Third stellation of dodecahedron facets.svg

Stellations of icosahedron

Index Name Symmetry group Picture Facets
4 Icosahedron (regular) Ih Zeroth stellation of icosahedron.svg Stellation diagram of icosahedron.svg
23 Compound of five octahedra
(First compound stellation of icosahedron)
Ih First compound stellation of icosahedron.png Compound of five octahedra stellation facets.svg
24 Compound of five tetrahedra
(Second compound stellation of icosahedron)
I Second compound stellation of icosahedron.png Compound of five tetrahedra stellation facets.svg
25 Compound of ten tetrahedra
(Third compound stellation of icosahedron)
Ih Third compound stellation of icosahedron.png Compound of ten tetrahedra stellation facets.svg
26 Small triambic icosahedron
(First stellation of icosahedron)
(Triakis icosahedron)
Ih First stellation of icosahedron.png Small triambic icosahedron stellation facets.svg
27 Second stellation of icosahedron Ih Second stellation of icosahedron.png Wenninger I2 stellation facets.svg
28 Excavated dodecahedron
(Third stellation of icosahedron)
Ih Third stellation of icosahedron.svg Excavated dodecahedron stellation facets.svg
29 Fourth stellation of icosahedron Ih Fourth stellation of icosahedron.png Wenninger I4 stellation facets.svg
30 Fifth stellation of icosahedron Ih Fifth stellation of icosahedron.png Wenninger I5 stellation facets.svg
31 Sixth stellation of icosahedron Ih Sixth stellation of icosahedron.png Wenninger I6 stellation facets.svg
32 Seventh stellation of icosahedron Ih Seventh stellation of icosahedron.png Wenninger I7 stellation facets.svg
33 Eighth stellation of icosahedron Ih Eighth stellation of icosahedron.png Wenninger I8 stellation facets.svg
34 Ninth stellation of icosahedron
Great triambic icosahedron
Ih Ninth stellation of icosahedron.png Great triambic icosahedron stellation facets.svg
35 Tenth stellation of icosahedron I Tenth stellation of icosahedron.png Wenninger I10 stellation facets.svg
36 Eleventh stellation of icosahedron I Eleventh stellation of icosahedron.png Wenninger I11 stellation facets.svg
37 Twelfth stellation of icosahedron Ih Twelfth stellation of icosahedron.png Wenninger I12 stellation facets.svg
38 Thirteenth stellation of icosahedron I Thirteenth stellation of icosahedron.png Wenninger I13 stellation facets.svg
39 Fourteenth stellation of icosahedron I Fourteenth stellation of icosahedron.png Wenninger I14 stellation facets.svg
40 Fifteenth stellation of icosahedron I Fifteenth stellation of icosahedron.png Wenninger I15 stellation facets.svg
41 Great icosahedron (regular)
(Sixteenth stellation of icosahedron)
Ih Sixteenth stellation of icosahedron.png Great icosahedron stellation facets.svg
42 Final stellation of the icosahedron Ih Seventeenth stellation of icosahedron.png Echidnahedron stellation facets.svg

Stellations of cuboctahedron

Index Name Symmetry group Picture Facets (octahedral planes) Facets (cube planes)
11 Cuboctahedron (regular) Oh Zeroth stellation of cuboctahedron.png Zeroth stellation of cuboctahedron facets.png Zeroth stellation of cuboctahedron square facets.png
43 Compound of cube and octahedron
(First stellation of cuboctahedron)
Oh First stellation of cuboctahedron.png First stellation of cuboctahedron trifacets.png First stellation of cuboctahedron square facets.png
44 Second stellation of cuboctahedron Oh Second stellation of cuboctahedron.png Second stellation of cuboctahedron trifacets.png Second stellation of cuboctahedron square facets.png
45 Third stellation of cuboctahedron Oh Third stellation of cuboctahedron.png Third stellation of cuboctahedron trifacets.png Third stellation of cuboctahedron square facets.png
46 Fourth stellation of cuboctahedron Oh Fourth stellation of cuboctahedron.png Fourth stellation of cuboctahedron trifacets.png Fourth stellation of cuboctahedron square facets.png

Stellations of icosidodecahedron

Index Name Symmetry group Picture Facets (icosahedral planes) Facets (dodecahedral planes)
12 Icosidodecahedron
(regular)
Ih Zeroth stellation of icosidodecahedron.png Zeroth stellation of icosidodecahedron trifacets.png Zeroth stellation of icosidodecahedron pentfacets.png
47 (First stellation of icosidodecahedron)
Compound of dodecahedron and icosahedron
Ih First stellation of icosidodecahedron.png First stellation of icosidodecahedron facets.png First stellation of icosidodecahedron pentfacets.png
48 Second stellation of icosidodecahedron Ih Second stellation of icosidodecahedron.png Second stellation of icosidodecahedron facets.png Second stellation of icosidodecahedron pentfacets.png
49 Third stellation of icosidodecahedron Ih Third stellation of icosidodecahedron.png Third stellation of icosidodecahedron facets.png Third stellation of icosidodecahedron pentfacets.png
50 Fourth stellation of icosidodecahedron
(Compound of small stellated dodecahedron
and triakis icosahedron)
Ih Fourth stellation of icosidodecahedron.png Fourth stellation of icosidodecahedron facets.png Fourth stellation of icosidodecahedron pentfacets.png
51 Fifth stellation of icosidodecahedron
(Compound of small stellated dodecahedron
and five octahedra)
Ih Fifth stellation of icosidodecahedron.png Fifth stellation of icosidodecahedron facets.png Fifth stellation of icosidodecahedron pentfacets.png
52 Sixth stellation of icosidodecahedron Ih Sixth stellation of icosidodecahedron.png Sixth stellation of icosidodecahedron facets.png Sixth stellation of icosidodecahedron pentfacets.png
53 Seventh stellation of icosidodecahedron Ih Seventh stellation of icosidodecahedron.png Seventh stellation of icosidodecahedron facets.png Seventh stellation of icosidodecahedron pentfacets.png
54 Eighth stellation of icosidodecahedron
(Compound of five tetrahedra
and great dodecahedron)
I Eighth stellation of icosidodecahedron.png Eighth stellation of icosidodecahedron facets.png Eighth stellation of icosidodecahedron pentfacets.png
55 Ninth stellation of icosidodecahedron Ih Ninth stellation of icosidodecahedron.png Ninth stellation of icosidodecahedron facets.png Ninth stellation of icosidodecahedron pentfacets.png
56 Tenth stellation of icosidodecahedron Ih Tenth stellation of icosidodecahedron.png Tenth stellation of icosidodecahedron facets.png Tenth stellation of icosidodecahedron pentfacets.png
57 Eleventh stellation of icosidodecahedron Ih Eleventh stellation of icosidodecahedron.png Eleventh stellation of icosidodecahedron facets.png Eleventh stellation of icosidodecahedron pentfacets.png
58 Twelfth stellation of icosidodecahedron Ih Twelfth stellation of icosidodecahedron.png Twelfth stellation of icosidodecahedron facets.png Twelfth stellation of icosidodecahedron pentfacets.png
59 Thirteenth stellation of icosidodecahedron Ih Thirteenth stellation of icosidodecahedron.png Thirteenth stellation of icosidodecahedron facets.png Thirteenth stellation of icosidodecahedron pentfacets.png
60 Fourteenth stellation of icosidodecahedron Ih Fourteenth stellation of icosidodecahedron.png Fourteenth stellation of icosidodecahedron facets.png Fourteenth stellation of icosidodecahedron pentfacets.png
61 Compound of great stellated dodecahedron and great icosahedron Ih Second compound stellation of icosidecahedron.png Second compound stellation of icosidecahedron facets.png Second compound stellation of icosidecahedron pentfacets.png
62 Fifteenth stellation of icosidodecahedron Ih Fifteenth stellation of icosidodecahedron.png Fifteenth stellation of icosidodecahedron facets.png Fifteenth stellation of icosidodecahedron pentfacets.png
63 Sixteenth stellation of icosidodecahedron Ih Sixteenth stellation of icosidodecahedron.png Sixteenth stellation of icosidodecahedron facets.png Sixteenth stellation of icosidodecahedron pentfacets.png
64 Seventeenth stellation of icosidodecahedron Ih Seventeenth stellation of icosidodecahedron.png Seventeenth stellation of icosidodecahedron facets.png Seventeenth stellation of icosidodecahedron pentfacets.png
65 Eighteenth stellation of icosidodecahedron Ih Eighteenth stellation of icosidodecahedron.png Eighteenth stellation of icosidodecahedron facets.png Eighteenth stellation of icosidodecahedron pentfacets.png
66 Nineteenth stellation of icosidodecahedron Ih Nineteenth stellation of icosidodecahedron.png Nineteenth stellation of icosidodecahedron facets.png Nineteenth stellation of icosidodecahedron pentfacets.png

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 Tetrahemihexahedron.png Tetrahemihexacron 80px 3/23|2 Tetrahemihexahedron vertfig.png
4.3/2.4.3
Td U04 K09 6 12 7 4{3}+3{4}
68 Octahemioctahedron Octahemioctahedron.png Octahemioctacron 80px 3/23|3 Octahemioctahedron vertfig.png
6.3/2.6.3
Oh U03 K08 12 24 12 8{3}+4{6}
69 Small cubicuboctahedron Small cubicuboctahedron.png Small hexacronic icositetrahedron 80px 3/24|4 Small cubicuboctahedron vertfig.png
8.3/2.8.4
Oh U13 K18 24 48 20 8{3}+6{4}+6{8}
70 Small ditrigonal icosidodecahedron Small ditrigonal icosidodecahedron.png Small triambic icosahedron 80px 3|5/23 Small ditrigonal icosidodecahedron vertfig.png
(5/2.3)3
Ih U30 K35 20 60 32 20{3}+12{5/2}
71 Small icosicosidodecahedron Small icosicosidodecahedron.png Small icosacronic hexecontahedron 80px 5/23|3 Small icosicosidodecahedron vertfig.png
6.5/2.6.3
Ih U31 K36 60 120 52 20{3}+12{5/2}+20{6}
72 Small dodecicosidodecahedron Small dodecicosidodecahedron.png Small dodecacronic hexecontahedron 80px 3/25|5 Small dodecicosidodecahedron vertfig.png
10.3/2.10.5
Ih U33 K38 60 120 44 20{3}+12{5}+12{10}
73 Dodecadodecahedron Dodecadodecahedron.png Medial rhombic triacontahedron 80px 2|5/25 Dodecadodecahedron vertfig.png
(5/2.5)2
Ih U36 K41 30 60 24 12{5}+12{5/2}
74 Small rhombidodecahedron Small rhombidodecahedron.png Small rhombidodecacron 80px 25/25| Small rhombidodecahedron vertfig.png
10.4.10/9.4/3
Ih U39 K44 60 120 42 30{4}+12{10}
75 Truncated great dodecahedron Great truncated dodecahedron.png Small stellapentakis dodecahedron 80px 25/2|5 Truncated great dodecahedron vertfig.png
10.10.5/2
Ih U37 K42 60 90 24 12{5/2}+12{10}
76 Rhombidodecadodecahedron Rhombidodecadodecahedron.png Medial deltoidal hexecontahedron 80px 5/25|2 Rhombidodecadodecahedron vertfig.png
4.5/2.4.5
Ih U38 K43 60 120 54 30{4}+12{5}+12{5/2}
77 Great cubicuboctahedron Great cubicuboctahedron.png Great hexacronic icositetrahedron 80px 3 4|4/3 Great cubicuboctahedron vertfig.png
8/3.3.8/3.4
Oh U14 K19 24 48 20 8{3}+6{4}+6{8/3}
78 Cubohemioctahedron Cubohemioctahedron.png Hexahemioctacron 80px 4/34|3 Cubohemioctahedron vertfig.png
6.4/3.6.4
Oh U15 K20 12 24 10 6{4}+4{6}
79 Cubitruncated cuboctahedron
(Cuboctatruncated cuboctahedron)
Cubitruncated cuboctahedron.png Tetradyakis hexahedron 80px 4/33 4| Cubitruncated cuboctahedron vertfig.png
8/3.6.8
Oh U16 K21 48 72 20 8{6}+6{8}+6{8/3}
80 Ditrigonal dodecadodecahedron Ditrigonal dodecadodecahedron.png Medial triambic icosahedron 80px 3|5/35 Ditrigonal dodecadodecahedron vertfig.png
(5/3.5)3
Ih U41 K46 20 60 24 12{5}+12{5/2}
81 Great ditrigonal dodecicosidodecahedron Great ditrigonal dodecicosidodecahedron.png Great ditrigonal dodecacronic hexecontahedron 80px 3 5|5/3 Great ditrigonal dodecicosidodecahedron vertfig.png
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 dodecicosidodecahedron.png Small ditrigonal dodecacronic hexecontahedron 80px 5/33|5 Small ditrigonal dodecicosidodecahedron vertfig.png
10.5/3.10.3
Ih U43 K48 60 120 44 20{3}+12{5/2}+12{10}
83 Icosidodecadodecahedron Icosidodecadodecahedron.png Medial icosacronic hexecontahedron 80px 5/35|3 Icosidodecadodecahedron vertfig.png
6.5/3.6.5
Ih U44 K49 60 120 44 12{5}+12{5/2}+20{6}
84 Icositruncated dodecadodecahedron
(Icosidodecatruncated icosidodecahedron)
Icositruncated dodecadodecahedron.png Tridyakis icosahedron 80px 5/33 5| Icositruncated dodecadodecahedron vertfig.png
10/3.6.10
Ih U45 K50 120 180 44 20{6}+12{10}+12{10/3}
85 Nonconvex great rhombicuboctahedron
(Quasirhombicuboctahedron)
Uniform great rhombicuboctahedron.png Great deltoidal icositetrahedron 80px 3/24|2 Great rhombicuboctahedron vertfig.png
4.3/2.4.4
Oh U17 K22 24 48 26 8{3}+(6+12){4}
86 Small rhombihexahedron Small rhombihexahedron.png Small rhombihexacron 80px 3/22 4| Small rhombihexahedron vertfig.png
4.8.4/3.8
Oh U18 K23 24 48 18 12{4}+6{8}
87 Great ditrigonal icosidodecahedron Great ditrigonal icosidodecahedron.png Great triambic icosahedron 80px 3/2|3 5 Great ditrigonal icosidodecahedron vertfig.png
(5.3.5.3.5.3)/2
Ih U47 K52 20 60 32 20{3}+12{5}
88 Great icosicosidodecahedron Great icosicosidodecahedron.png Great icosacronic hexecontahedron 80px 3/25|3 Great icosicosidodecahedron vertfig.png
6.3/2.6.5
Ih U48 K53 60 120 52 20{3}+12{5}+20{6}
89 Small icosihemidodecahedron Small icosihemidodecahedron.png Small icosihemidodecacron 80px 3/23|5 Small icosihemidodecahedron vertfig.svg
10.3/2.10.3
Ih U49 K54 30 60 26 20{3}+6{10}
90 Small dodecicosahedron Small dodecicosahedron.png Small dodecicosacron 80px 3/23 5| Small dodecicosahedron vertfig.png
10.6.10/9.6/5
Ih U50 K55 60 120 32 20{6}+12{10}
91 Small dodecahemidodecahedron Small dodecahemidodecahedron.png Small dodecahemidodecacron 80px 5/45|5 Small dodecahemidodecahedron vertfig.png
10.5/4.10.5
Ih U51 K56 30 60 18 12{5}+6{10}
92 Stellated truncated hexahedron
(Quasitruncated hexahedron)
Stellated truncated hexahedron.png Great triakis octahedron 80px 2 3|4/3 Stellated truncated hexahedron vertfig.png
8/3.8/3.3
Oh U19 K24 24 36 14 8{3}+6{8/3}
93 Great truncated cuboctahedron
(Quasitruncated cuboctahedron)
Great truncated cuboctahedron.png Great disdyakis dodecahedron 80px 4/32 3| Great truncated cuboctahedron vertfig.png
8/3.4.6
Oh U20 K25 48 72 26 12{4}+8{6}+6{8/3}
94 Great icosidodecahedron Great icosidodecahedron.png Great rhombic triacontahedron 80px 2|5/23 Great icosidodecahedron vertfig.png
(5/2.3)2
Ih U54 K59 30 60 32 20{3}+12{5/2}
95 Truncated great icosahedron Great truncated icosahedron.png Great stellapentakis dodecahedron 80px 25/2|3 Great truncated icosahedron vertfig.png
6.6.5/2
Ih U55 K60 60 90 32 12{5/2}+20{6}
96 Rhombicosahedron Rhombicosahedron.png Rhombicosacron 80px 25/23| Rhombicosahedron vertfig.png
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)
Small stellated truncated dodecahedron.png Great pentakis dodecahedron 80px 2 5|5/3 Small stellated truncated dodecahedron vertfig.png
10/3.10/3.5
Ih U58 K63 60 90 24 12{5}+12{10/3}
98 Truncated dodecadodecahedron
(Quasitruncated dodecahedron)
Truncated dodecadodecahedron.png Medial disdyakis triacontahedron 80px 5/32 5| Truncated dodecadodecahedron vertfig.png
10/3.4.10
Ih U59 K64 120 180 54 30{4}+12{10}+12{10/3}
99 Great dodecicosidodecahedron Great dodecicosidodecahedron.png Great dodecacronic hexecontahedron 80px 5/23|5/3 Great dodecicosidodecahedron vertfig.png
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 dodecahemicosahedron.png Small dodecahemicosacron 80px 5/35/2|3 Small dodecahemicosahedron vertfig.png
6.5/3.6.5/2
Ih U62 K67 30 60 22 12{5/2}+10{6}
101 Great dodecicosahedron Great dodecicosahedron.png Great dodecicosacron 80px 5/35/23| Great dodecicosahedron vertfig.png
6.10/3.6/5.10/7
Ih U63 K68 60 120 32 20{6}+12{10/3}
102 Great dodecahemicosahedron Great dodecahemicosahedron.png Great dodecahemicosacron 80px 5/45|3 Great dodecahemicosahedron vertfig.png
6.5/4.6.5
Ih U65 K70 30 60 22 12{5}+10{6}
103 Great rhombihexahedron Great rhombihexahedron.png Great rhombihexacron 80px 4/33/22| Great rhombihexahedron vertfig.png
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 stellated truncated dodecahedron.png Great triakis icosahedron 80px 2 3|5/3 Great stellated truncated dodecahedron vertfig.png
10/3.10/3.3
Ih U66 K71 60 90 32 20{3}+12{10/3}
105 Nonconvex great rhombicosidodecahedron
(Quasirhombicosidodecahedron)
Uniform great rhombicosidodecahedron.png Great deltoidal hexecontahedron 80px 5/33|2 Uniform great rhombicosidodecahedron vertfig.png
4.5/3.4.3
Ih U67 K72 60 120 62 20{3}+30{4}+12{5/2}
106 Great icosihemidodecahedron Great icosihemidodecahedron.png Great icosihemidodecacron 80px 3 3|5/3 Great icosihemidodecahedron vertfig.png
10/3.3/2.10/3.3
Ih U71 K76 30 60 26 20{3}+6{10/3}
107 Great dodecahemidodecahedron Great dodecahemidodecahedron.png Great dodecahemidodecacron 80px 5/35/2|5/3 Great dodecahemidodecahedron vertfig.png
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 truncated icosidodecahedron.png Great disdyakis triacontahedron 80px 5/32 3| Great truncated icosidodecahedron vertfig.png
10/3.4.6
Ih U68 K73 120 180 62 30{4}+20{6}+12{10/3}
109 Great rhombidodecahedron Great rhombidodecahedron.png Great rhombidodecacron 80px 3/25/32| Great rhombidodecahedron vertfig.png
4.10/3.4/3.10/7
Ih U73 K78 60 120 42 30{4}+12{10/3}
110 Small snub icosicosidodecahedron Small snub icosicosidodecahedron.png Small hexagonal hexecontahedron 80px |5/23 3 Small snub icosicosidodecahedron vertfig.png
3.3.3.3.3.5/2
Ih U32 K37 60 180 112 (40+60){3}+12{5/2}
111 Snub dodecadodecahedron Snub dodecadodecahedron.png Medial pentagonal hexecontahedron 80px |25/25 Snub dodecadodecahedron vertfig.png
3.3.5/2.3.5
I U40 K45 60 150 84 60{3}+12{5}+12{5/2}
112 Snub icosidodecadodecahedron Snub icosidodecadodecahedron.png Medial hexagonal hexecontahedron 80px |5/33 5 Snub icosidodecadodecahedron vertfig.png
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 snub icosidodecahedron.png Great inverted pentagonal hexecontahedron 80px |5/32 3 Great inverted snub icosidodecahedron vertfig.png
3.3.3.3.5/3
I U69 K74 60 150 92 (20+60){3}+12{5/2}
114 Inverted snub dodecadodecahedron Inverted snub dodecadodecahedron.png Medial inverted pentagonal hexecontahedron 80px |5/32 5 Inverted snub dodecadodecahedron vertfig.png
3.5/3.3.3.5
I U60 K65 60 150 84 60{3}+12{5}+12{5/2}
115 Great snub dodecicosidodecahedron Great snub dodecicosidodecahedron.png Great hexagonal hexecontahedron 80px |5/35/23 Great snub dodecicosidodecahedron vertfig.png
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 snub icosidodecahedron.png Great pentagonal hexecontahedron 80px |25/25/2 Great snub icosidodecahedron vertfig.png
3.3.3.3.5/2
I U57 K62 60 150 92 (20+60){3}+12{5/2}
117 Great retrosnub icosidodecahedron Great retrosnub icosidodecahedron.png Great pentagrammic hexecontahedron 80px |3/25/32 Great retrosnub icosidodecahedron vertfig.png
(3.3.3.3.5/2)/2
I U74 K79 60 150 92 (20+60){3}+12{5/2}
118 Small retrosnub icosicosidodecahedron Small retrosnub icosicosidodecahedron.png Small hexagrammic hexecontahedron 80px |3/23/25/2 Small retrosnub icosicosidodecahedron vertfig.png
(3.3.3.3.3.5/2)/2
Ih U72 K77 180 60 112 (40+60){3}+12{5/2}
119 Great dirhombicosidodecahedron Great dirhombicosidodecahedron.png Great dirhombicosidodecacron 80px |3/25/335/2 Great dirhombicosidodecahedron vertfig.png
(4.5/3.4.3.4.5/2.4.3/2)/2
Ih U75 K80 60 240 124 40{3}+60{4}+24{5/2}

See also

References

External links