List of Wenninger polyhedron models
Encyclopedia
This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger
Magnus Wenninger
Father Magnus J. Wenninger OSB is a mathematician who works on constructing polyhedron models, and wrote the first book on their construction.-Early life and education:...

.

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
Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive...

, as well as 44 stellated forms
Stellation
Stellation is a process of constructing new polygons , new polyhedra in three dimensions, or, in general, new polytopes in n dimensions. The process consists of extending elements such as edges or face planes, usually in a symmetrical way, until they meet each other again...

 of the convex regular and semiregular polyhedra.

This list was written to honor this early polyhedral work from Wenninger, and to provide a detailed reference to the 119 numbered models in his book.

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

The polyhedra are grouped below 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) W1 to W5

Index Name Picture Dual name Dual picture Wythoff symbol
Wythoff symbol
In geometry, the Wythoff symbol was first used by Coxeter, Longeut-Higgens and Miller in their enumeration of the uniform polyhedra. It represents a construction by way of Wythoff's construction applied to Schwarz triangles....

Vertex figure
Vertex configuration
In geometry, a vertex configuration is a short-hand notation for representing the vertex figure of a polyhedron or tiling as the sequence of faces around a vertex. For uniform polyhedra there is only one vertex type and therefore the vertex configuration fully defines the polyhedron...


and Schläfli symbol
Symmetry group U# K# V E F Faces by type
1 Tetrahedron
Tetrahedron
In geometry, a tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex. A regular tetrahedron is one in which the four triangles are regular, or "equilateral", and is one of the Platonic solids...

Tetrahedron
Tetrahedron
In geometry, a tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex. A regular tetrahedron is one in which the four triangles are regular, or "equilateral", and is one of the Platonic solids...

3|2 3
{3,3}
Td U01 K06 4 6 4 4{3}
2 Octahedron
Octahedron
In geometry, an octahedron is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex....

Hexahedron
Hexahedron
A hexahedron is any polyhedron with six faces, although usually implies the cube as a regular hexahedron with all its faces square, and three squares around each vertex....

4|2 3
{3,4}
Oh U05 K10 6 12 8 8{3}
3 Hexahedron
Hexahedron
A hexahedron is any polyhedron with six faces, although usually implies the cube as a regular hexahedron with all its faces square, and three squares around each vertex....

 (Cube)
Octahedron
Octahedron
In geometry, an octahedron is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex....

3|2 4
{4,3}
Oh U06 K11 8 12 6 6{4}
4 Icosahedron
Icosahedron
In geometry, an icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids....

Dodecahedron 5|2 3
{3,5}
Ih U22 K27 12 30 20 20{3}
5 Dodecahedron Icosahedron
Icosahedron
In geometry, an icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids....

3|2 5
{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
Wythoff symbol
In geometry, the Wythoff symbol was first used by Coxeter, Longeut-Higgens and Miller in their enumeration of the uniform polyhedra. It represents a construction by way of Wythoff's construction applied to Schwarz triangles....

Vertex figure
Vertex configuration
In geometry, a vertex configuration is a short-hand notation for representing the vertex figure of a polyhedron or tiling as the sequence of faces around a vertex. For uniform polyhedra there is only one vertex type and therefore the vertex configuration fully defines the polyhedron...

Symmetry group U# K# V E F Faces by type
6 Truncated tetrahedron
Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges.- Area and volume :...

triakis tetrahedron
Triakis tetrahedron
In geometry, a triakis tetrahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated tetrahedron.It can be seen as a tetrahedron with triangular pyramids added to each face; that is, it is the Kleetope of the tetrahedron...

 
2 3|3
3.6.6
Td U02 K07 12 18 8 4{3} + 4{6}
7 Truncated octahedron
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid. It has 14 faces , 36 edges, and 24 vertices. Since each of its faces has point symmetry the truncated octahedron is a zonohedron....

tetrakis hexahedron
Tetrakis hexahedron
In geometry, a tetrakis hexahedron is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be seen as a cube with square pyramids covering each square face; that is, it is the Kleetope of the cube....

2 4|3
4.6.6
Oh U08 K13 24 36 14 6{4} + 8{6}
8 Truncated hexahedron
Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces , 36 edges, and 24 vertices....

triakis octahedron
Triakis octahedron
In geometry, a triakis octahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube.It can be seen as an octahedron with triangular pyramids added to each face; that is, it is the Kleetope of the octahedron. It is also sometimes called a trisoctahedron, or, more...

 
2 3|4
3.8.8
Oh U09 K14 24 36 14 8{3} + 6{8}
9 Truncated icosahedron
Truncated icosahedron
In geometry, the truncated icosahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.It has 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges....

pentakis dodecahedron
Pentakis dodecahedron
In geometry, a pentakis dodecahedron is a Catalan solid. Its dual is the truncated icosahedron, an Archimedean solid.It can be seen as a dodecahedron with a pentagonal pyramid covering each face; that is, it is the Kleetope of the dodecahedron...

 
2 5|3
5.6.6
Ih U25 K30 60 90 32 12{5} + 20{6}
10 Truncated dodecahedron
Truncated dodecahedron
In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges.- Geometric relations :...

triakis icosahedron
Triakis icosahedron
In geometry, the triakis icosahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated dodecahedron.It can be seen as an icosahedron with triangular pyramids augmented to each face; that is, it is the Kleetope of the icosahedron...

 
2 3|5
3.10.10
Ih U26 K31 60 90 32 20{3} + 12{10}
11 Cuboctahedron
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with eight triangular faces and six square faces. A cuboctahedron has 12 identical vertices, with two triangles and two squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such it is a quasiregular polyhedron,...

rhombic dodecahedron
Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron.-Properties:...

 
2|3 4
3.4.3.4
Oh U07 K12 12 24 14 8{3} + 6{4}
12 Icosidodecahedron
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon...

rhombic triacontahedron
Rhombic triacontahedron
In geometry, the rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. It is the polyhedral dual of the icosidodecahedron, and it is a zonohedron....

 
2|3 5
3.5.3.5
Ih U24 K29 30 60 32 20{3} + 12{5}
13 Small rhombicuboctahedron deltoidal icositetrahedron
Deltoidal icositetrahedron
In geometry, a deltoidal icositetrahedron is a Catalan solid which looks a bit like an overinflated cube. Its dual polyhedron is the rhombicuboctahedron....

3 4|2
3.4.4.4
Oh U10 K15 24 48 26 8{3}+(6+12){4}
14 Small rhombicosidodecahedron deltoidal hexecontahedron
Deltoidal hexecontahedron
In geometry, a deltoidal hexecontahedron is a catalan solid which looks a bit like an overinflated dodecahedron. It is sometimes also called the trapezoidal hexecontahedron or strombic hexecontahedron...

 
3 5|2
3.4.5.4
Ih U27 K32 60 120 62 20{3} + 30{4} + 12{5}
15 Great rhombicuboctahedron
(Rhombitruncated cuboctahedron)
(Truncated cuboctahedron)
disdyakis dodecahedron
Disdyakis dodecahedron
In geometry, a disdyakis dodecahedron, or hexakis octahedron, is a Catalan solid and the dual to the Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons...

2 3 4|
4.6.8
Oh U11 K16 48 72 26 12{4} + 8{6} + 6{8}
16 Great rhombicosidodecahedron
(Rhombitruncated icosidodecahedron)
(Truncated icosidodecahedron)
disdyakis triacontahedron
Disdyakis triacontahedron
In geometry, a disdyakis triacontahedron, or hexakis icosahedron is a Catalan solid and the dual to the Archimedean truncated icosidodecahedron. As such it is face uniform but with irregular face polygons...

2 3 5|
4.6.10
Ih U28 K33 120 180 62 30{4} + 20{6} + 12{10}
17 Snub cube
Snub cube
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid.The snub cube has 38 faces, 6 of which are squares and the other 32 are equilateral triangles. It has 60 edges and 24 vertices. It is a chiral polyhedron, that is, it has two distinct forms, which are mirror images of each...

pentagonal icositetrahedron
Pentagonal icositetrahedron
In geometry, a pentagonal icositetrahedron is a Catalan solid which is the dual of the snub cube. It has two distinct forms, which are mirror images of each other....

 
|2 3 4
3.3.3.3.4
O U12 K17 24 60 38 (8 + 24){3} + 6{4}
18 Snub dodecahedron
Snub dodecahedron
In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces....

pentagonal hexecontahedron
Pentagonal hexecontahedron
In geometry, a pentagonal hexecontahedron is a Catalan solid, dual of the snub dodecahedron. It has two distinct forms, which are mirror images of each other. It is also well-known to be the Catalan Solid with the most vertices...

 
|2 3 5
3.3.3.3.5
I U29 K34 60 150 92 (20 + 60){3} + 12{5}

Kepler–Poinsot polyhedra (Regular star polyhedra
Star polyhedron
In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality.There are two general kinds of star polyhedron:*Polyhedra which self-intersect in a repetitive way....

) W20, W21, W22 and W41

Index Name Picture Dual name Dual picture Wythoff symbol
Wythoff symbol
In geometry, the Wythoff symbol was first used by Coxeter, Longeut-Higgens and Miller in their enumeration of the uniform polyhedra. It represents a construction by way of Wythoff's construction applied to Schwarz triangles....

Vertex figure
Vertex configuration
In geometry, a vertex configuration is a short-hand notation for representing the vertex figure of a polyhedron or tiling as the sequence of faces around a vertex. For uniform polyhedra there is only one vertex type and therefore the vertex configuration fully defines the polyhedron...


and Schläfli symbol
Symmetry group U# K# V E F Faces by type
20 Small stellated dodecahedron Great dodecahedron 5|25/2
{5/2,5}
Ih U34 K39 12 30 12 12{5/2}
21 Great dodecahedron Small stellated dodecahedron 5/2|2 5
{5,5/2}
Ih U35 K40 12 30 12 12{5}
22 Great stellated dodecahedron Great icosahedron 3|25/2
{5/2,3}
Ih U52 K57 20 30 12 12{5/2}
41 Great icosahedron
(16th stellation of icosahedron)
Great stellated dodecahedron 5/2|2 3
{3,5/2}
Ih U53 K58 12 30 20 20{3}

Stellations of octahedron

Index Name Symmetry group Picture Facets
2 Octahedron
Octahedron
In geometry, an octahedron is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex....


(regular)
Oh
19 Stellated octahedron
(Compound of two tetrahedra)
Oh

Stellations of dodecahedron

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

Stellations of icosahedron

Index Name Symmetry group Picture Facets
4 Icosahedron
Icosahedron
In geometry, an icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids....

 (regular)
Ih
26 First stellation of icosahedron
Small triambic icosahedron
Small triambic icosahedron
In geometry, the small triambic icosahedron is the dual to the uniform small ditrigonal icosidodecahedron. It is composed of 20 intersecting isogonal hexagon faces. It has 60 edges and 32 vertices, and Euler characteristic of −8....


(Triakis icosahedron)
Ih
23 Compound of five octahedra
Compound of five octahedra
This polyhedron can be seen as either a polyhedral stellation or a compound. This compound was first described by Edmund Hess in 1876.- As a stellation :It is the second stellation of the icosahedron, and given as Wenninger model index 23....


(First compound stellation of icosahedron)
Ih
24 Compound of five tetrahedra
Compound of five tetrahedra
This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876.-As a compound:It can be constructed by arranging five tetrahedra in rotational icosahedral symmetry , as colored in the upper right model...


(Second compound stellation of icosahedron)
I
25 Compound of ten tetrahedra
Compound of ten tetrahedra
This polyhedron can be seen as either a polyhedral stellation or a compound. This compound was first described by Edmund Hess in 1876.- As a compound :It can also be seen as the compound of ten tetrahedra with full icosahedral symmetry...


(Third compound stellation of icosahedron)
Ih
27 Second stellation of icosahedron Ih
28 Third stellation of icosahedron Ih
29 Fourth stellation of icosahedron Ih
30 Fifth stellation of icosahedron Ih
31 Sixth stellation of icosahedron Ih
32 Seventh stellation of icosahedron Ih
33 Eighth stellation of icosahedron Ih
34 Ninth stellation of icosahedron
Great triambic icosahedron
Great triambic icosahedron
In geometry, the great triambic icosahedron and medial triambic icosahedron are visually identical dual uniform polyhedra. The exterior surface also represents the De1f1 stellation of the icosahedron. The only way to differentiate these two polyhedra is to mark which intersections between edges are...


Ih
35 Tenth stellation of icosahedron I
36 Eleventh stellation of icosahedron I
37 Twelfth stellation of icosahedron Ih
38 Thirteenth stellation of icosahedron I
39 Fourteenth stellation of icosahedron I
40 Fifteenth stellation of icosahedron I
41 Great icosahedron (regular)
(Sixteenth stellation of icosahedron)
Ih
42 Final stellation of the icosahedron
Final stellation of the icosahedron
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram....

Ih

Stellations of cuboctahedron

Index Name Symmetry group Picture Facets (octahedral planes) Facets (cube planes)
11 Cuboctahedron
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with eight triangular faces and six square faces. A cuboctahedron has 12 identical vertices, with two triangles and two squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such it is a quasiregular polyhedron,...

 (regular)
Oh
43 Compound of cube and octahedron
Compound of cube and octahedron
This polyhedron can be seen as either a polyhedral stellation or a compound.- As a compound :It can be seen as the compound of an octahedron and a cube...


(First stellation of cuboctahedron)
Oh
44 Second stellation of cuboctahedron Oh
45 Third stellation of cuboctahedron Oh
46 Fourth stellation of cuboctahedron Oh

Stellations of icosidodecahedron

Index Name Symmetry group Picture Facets (icosahedral planes) Facets (dodecahedral planes)
12 Icosidodecahedron
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon...


(regular)
Ih
47 (First stellation of icosidodecahedron)
Compound of dodecahedron and icosahedron
Compound of dodecahedron and icosahedron
In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.- As a compound :It can be seen as the compound of an icosahedron and dodecahedron...

Ih
48 Second stellation of icosidodecahedron Ih
49 Third stellation of icosidodecahedron Ih
50 Fourth stellation of icosidodecahedron
(Compound of small stellated dodecahedron
and triakis icosahedron)
Ih
51 Fifth stellation of icosidodecahedron
(Compound of small stellated dodecahedron
and five octahedra)
Ih
52 Sixth stellation of icosidodecahedron Ih
53 Seventh stellation of icosidodecahedron Ih
54 Eighth stellation of icosidodecahedron
(Compound of five tetrahedra
and great dodecahedron)
I
55 Ninth stellation of icosidodecahedron Ih
56 Tenth stellation of icosidodecahedron Ih
57 Eleventh stellation of icosidodecahedron Ih
58 Twelfth stellation of icosidodecahedron Ih
59 Thirteenth stellation of icosidodecahedron Ih
60 Fourteenth stellation of icosidodecahedron Ih
61 Compound of great stellated dodecahedron and great icosahedron Ih
62 Fifteenth stellation of icosidodecahedron Ih
63 Sixteenth stellation of icosidodecahedron Ih
64 Seventeenth stellation of icosidodecahedron Ih
65 Eighteenth stellation of icosidodecahedron Ih
66 Nineteenth stellation of icosidodecahedron Ih

Uniform nonconvex solids W67 to W119

Index Name Picture Dual name Dual picture Wythoff symbol
Wythoff symbol
In geometry, the Wythoff symbol was first used by Coxeter, Longeut-Higgens and Miller in their enumeration of the uniform polyhedra. It represents a construction by way of Wythoff's construction applied to Schwarz triangles....

Vertex figure
Vertex figure
In geometry a vertex figure is, broadly speaking, the figure exposed when a corner of a polyhedron or polytope is sliced off.-Definitions - theme and variations:...

Symmetry group U# K# V E F Faces by type
67 Tetrahemihexahedron
Tetrahemihexahedron
In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4. It has 6 vertices and 12 edges, and 7 faces: 4 triangular and 3 square. Its vertex figure is a crossed quadrilateral. It has Coxeter-Dynkin diagram of ....

Tetrahemihexacron
Tetrahemihexacron
In geometry, the tetrahemihexacron is the dual of the tetrahemihexahedron, and is one of nine dual hemipolyhedra.Since the tetrahemihexahedron has three square faces passing through the model centre, the tetrahemihexacron has three vertices at infinity...

3/23|2
4.3/2.4.3
Td U04 K09 6 12 7 4{3}+3{4}
68 Octahemioctahedron
Octahemioctahedron
In geometry, the octahemioctahedron is a nonconvex uniform polyhedron, indexed as U3. Its vertex figure is a crossed quadrilateral.It is one of nine hemipolyhedra with 4 hexagonal faces passing through the model center.- Related polyhedra :...

Octahemioctacron
Octahemioctacron
In geometry, the octahemioctacron is the dual of the octahemioctahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the hexahemioctacron....

3/23|3
6.3/2.6.3
Oh U03 K08 12 24 12 8{3}+4{6}
69 Small cubicuboctahedron
Small cubicuboctahedron
In geometry, the small cubicuboctahedron is a uniform star polyhedron, indexed as U13. It has 20 faces , 48 edges, and 24 vertices. Its vertex figure is a crossed quadrilateral.- Related polyhedra :...

Small hexacronic icositetrahedron
Small hexacronic icositetrahedron
In geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron....

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 ditrigonal icosidodecahedron
In geometry, the small ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U30.-Related polyhedra:Its convex hull is a regular dodecahedron...

Small triambic icosahedron
Small triambic icosahedron
In geometry, the small triambic icosahedron is the dual to the uniform small ditrigonal icosidodecahedron. It is composed of 20 intersecting isogonal hexagon faces. It has 60 edges and 32 vertices, and Euler characteristic of −8....

3|5/23
(5/2.3)3
Ih U30 K35 20 60 32 20{3}+12{5/2}
71 Small icosicosidodecahedron
Small icosicosidodecahedron
In geometry, the small icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U31.- Related polyhedra :It shares its vertex arrangement with the great stellated truncated dodecahedron...

Small icosacronic hexecontahedron
Small icosacronic hexecontahedron
In geometry, the small icosacronic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small icosicosidodecahedron. A Hexacontahedron has 60 faces....

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 dodecicosidodecahedron
In geometry, the small dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U33. Its vertex figure is a crossed quadrilateral.-Related polyhedra:...

Small dodecacronic hexecontahedron
Small dodecacronic hexecontahedron
In geometry, the small dodecacronic hexecontahedron is the dual of the small dodecicosidodecahedron.-External links:...

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
Medial rhombic triacontahedron
In geometry, the medial rhombic triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the dodecadodecahedron. It has 30 intersecting rhombic faces.It can also be called the small stellated triacontahedron....

2|5/25
(5/2.5)2
Ih U36 K41 30 60 24 12{5}+12{5/2}
74 Small rhombidodecahedron
Small rhombidodecahedron
In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. Its vertex figure is a crossed quadrilateral.- Related polyhedra :...

Small rhombidodecacron
Small rhombidodecacron
In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It has 60 intersecting antiparallelogram faces.- External links :*...

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
Small stellapentakis dodecahedron
In geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces.- External links :*...

25/2|5
10.10.5/2
Ih U37 K42 60 90 24 12{5/2}+12{10}
76 Rhombidodecadodecahedron Medial deltoidal hexecontahedron
Medial deltoidal hexecontahedron
In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. It has 60 intersecting quadrilateral faces.- External links :*...

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 cubicuboctahedron
In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14.- Related polyhedra :It shares the vertex arrangement with the convex truncated cube and two other nonconvex uniform polyhedra...

Great hexacronic icositetrahedron
Great hexacronic icositetrahedron
In geometry, the great hexacronic icositetrahedron is the dual of the great cubicuboctahedron....

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
Cubohemioctahedron
In geometry, the cubohemioctahedron is a nonconvex uniform polyhedron, indexed as U15. Its vertex figure is a crossed quadrilateral.A nonconvex polyhedron has intersecting faces which do not represent new edges or faces...

Hexahemioctacron
Hexahemioctacron
In geometry, the hexahemioctacron is the dual of the cubohemioctahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the octahemioctacron....

4/34|3
6.4/3.6.4
Oh U15 K20 12 24 10 6{4}+4{6}
79 Cubitruncated cuboctahedron
Cubitruncated cuboctahedron
In geometry, the cubitruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16.- Convex hull :Its convex hull is a nonuniform truncated cuboctahedron.- Cartesian coordinates :...


(Cuboctatruncated cuboctahedron)
Tetradyakis hexahedron
Tetradyakis hexahedron
In geometry, the tetradyakis hexahedron is a nonconvex isohedral polyhedron. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices.It is the dual of the uniform cubitruncated cuboctahedron.-External links:*...

4/33 4|
8/3.6.8
Oh U16 K21 48 72 20 8{6}+6{8}+6{8/3}
80 Ditrigonal dodecadodecahedron
Ditrigonal dodecadodecahedron
In geometry, the Ditrigonal dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U41.- Related polyhedra :Its convex hull is a regular dodecahedron...

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 dodecicosidodecahedron
In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.- Related polyhedra :It shares its vertex arrangement with the truncated dodecahedron...

Great ditrigonal dodecacronic hexecontahedron
Great ditrigonal dodecacronic hexecontahedron
In geometry, the great ditrigonal dodecacronic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great ditrigonal dodecicosidodecahedron....

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 dodecicosidodecahedron
In geometry, the small ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U43. Its vertex figure is a crossed quadrilateral.- Related polyhedra :It shares its vertex arrangement with the great stellated truncated dodecahedron...

Small ditrigonal dodecacronic hexecontahedron
Small ditrigonal dodecacronic hexecontahedron
In geometry, the small ditrigonal dodecacronic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small ditrigonal dodecicosidodecahedron....

5/33|5
10.5/3.10.3
Ih U43 K48 60 120 44 20{3}+12{5/2}+12{10}
83 Icosidodecadodecahedron
Icosidodecadodecahedron
In geometry, the icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U44. Its vertex figure is a crossed quadrilateral.- Related polyhedra :It shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms...

Medial icosacronic hexecontahedron
Medial icosacronic hexecontahedron
In geometry, the medial icosacronic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform icosidodecadodecahedron....

5/35|3
6.5/3.6.5
Ih U44 K49 60 120 44 12{5}+12{5/2}+20{6}
84 Icositruncated dodecadodecahedron
Icositruncated dodecadodecahedron
In geometry, the icositruncated dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U45.- Convex hull :Its convex hull is a nonuniform great rhombicosidodecahedron.- Cartesian coordinates :...


(Icosidodecatruncated icosidodecahedron)
Tridyakis icosahedron
Tridyakis icosahedron
In geometry, the tridyakis icosahedron is the dual polyhedron of the nonconvex uniform polyhedron, icositruncated dodecadodecahedron. It has 44 vertices, 180 edges, and 120 scalene triangular faces.-See also:* Catalan solid Duals to convex uniform polyhedra...

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
Great deltoidal icositetrahedron
In geometry, the great deltoidal icositetrahedron is the dual of the uniform great rhombicuboctahedron.-External links:...

3/24|2
4.3/2.4.4
Oh U17 K22 24 48 26 8{3}+(6+12){4}
86 Small rhombihexahedron
Small rhombihexahedron
In geometry, the small rhombihexahedron is a nonconvex uniform polyhedron, indexed as U18. It has 18 faces , 48 edges, and 24 vertices. Its vertex figure is an antiparallelogram.-Related polyhedra:...

Small rhombihexacron
Small rhombihexacron
In geometry, the small rhombihexacron is the dual of the small rhombihexahedron. Its faces are antiparallelograms formed by pairs of coplanar triangles....

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
Great triambic icosahedron
In geometry, the great triambic icosahedron and medial triambic icosahedron are visually identical dual uniform polyhedra. The exterior surface also represents the De1f1 stellation of the icosahedron. The only way to differentiate these two polyhedra is to mark which intersections between edges are...

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 icosicosidodecahedron
In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48. Its vertex figure is a crossed quadrilateral.- Related polyhedra :It shares its vertex arrangement with the truncated dodecahedron...

Great icosacronic hexecontahedron
Great icosacronic hexecontahedron
In geometry, the great icosacronic hexecontahedron is the dual of the great icosicosidodecahedron.- External links :...

3/25|3
6.3/2.6.5
Ih U48 K53 60 120 52 20{3}+12{5}+20{6}
89 Small icosihemidodecahedron
Small icosihemidodecahedron
In geometry, the small icosihemidodecahedron is a uniform star polyhedron, indexed as U49. Its vertex figure alternates two regular triangles and decagons as a crossed quadrilateral....

Small icosihemidodecacron
Small icosihemidodecacron
In geometry, the small icosihemidodecacron is the dual of the small icosihemidodecahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the small dodecahemidodecacron....

3/23|5
10.3/2.10.3
Ih U49 K54 30 60 26 20{3}+6{10}
90 Small dodecicosahedron
Small dodecicosahedron
In geometry, the small dodecicosahedron is a nonconvex uniform polyhedron, indexed as U50. Its vertex figure is a crossed quadrilateral.-Related polyhedra:It shares its vertex arrangement with the great stellated truncated dodecahedron...

Small dodecicosacron
Small dodecicosacron
In geometry, the small dodecicosacron is the dual of the small dodecicosahedron . It has 60 intersecting bow-tie-shaped faces.-External links:*...

3/23 5|
10.6.10/9.6/5
Ih U50 K55 60 120 32 20{6}+12{10}
91 Small dodecahemidodecahedron
Small dodecahemidodecahedron
In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U51. Its vertex figure alternates two regular pentagons and decagons as a crossed quadrilateral....

Small dodecahemidodecacron
Small dodecahemidodecacron
In geometry, the small dodecahemidodecacron is the dual of the small dodecahemidodecahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the small icosihemidodecacron....

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
Great triakis octahedron
In geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron . It has 24 intersecting isosceles triangle faces....

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
Great disdyakis dodecahedron
In geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great truncated cuboctahedron....

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
Great rhombic triacontahedron
In geometry, the great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron. It is the dual of the great icosidodecahedron...

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
Great stellapentakis dodecahedron
In geometry, the great stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great icosahedron. It has 60 intersecting triangular faces.- External links :*...

25/2|3
6.6.5/2
Ih U55 K60 60 90 32 12{5/2}+20{6}
96 Rhombicosahedron
Rhombicosahedron
In geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as U56. Its vertex figure is an antiparallelogram.- Related polyhedra :...

Rhombicosacron
Rhombicosacron
In geometry, the rhombicosacron is a nonconvex isohedral polyhedron. It is the dual of the uniform rhombicosahedron, U56. It has 50 vertices, 120 edges, and 60 crossed-quadrilateral faces.- External links :*...

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
Great pentakis dodecahedron
In geometry, the great pentakis dodecahedron is a nonconvex isohedral polyhedron.It is the dual of the uniform small stellated truncated dodecahedron. The decagrammic faces pass close to the origin in the uniform polyhedron, causing this dual to be very spikey....

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
Medial disdyakis triacontahedron
In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron....

5/32 5|
10/3.4.10
Ih U59 K64 120 180 54 30{4}+12{10}+12{10/3}
99 Great dodecicosidodecahedron
Great dodecicosidodecahedron
In geometry, the great dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U61.- Related polyhedra :It shares its vertex arrangement with the truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms...

Great dodecacronic hexecontahedron
Great dodecacronic hexecontahedron
In geometry, the great dodecacronic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great dodecicosidodecahedron....

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 dodecahemicosahedron
In geometry, the small dodecahemicosahedron is a nonconvex uniform polyhedron, indexed as U62. Its vertex figure is a crossed quadrilateral.It is a hemipolyhedron with ten hexagonal faces passing through the model center.- Related polyhedra :...

Small dodecahemicosacron
Small dodecahemicosacron
In geometry, the small dodecahemicosacron is the dual of the small dodecahemicosahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the great 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 dodecicosahedron
In geometry, the great dodecicosahedron is a nonconvex uniform polyhedron, indexed as U63. Its vertex figure is a crossed quadrilateral.It has a composite Wythoff symbol, 3 5/3 |, requiring two different Schwarz triangles to generate it: and .Its vertex figure 6.10/3.6/5.10/7 is also ambiguous,...

Great dodecicosacron
Great dodecicosacron
In geometry, the great dodecicosacron is the dual of the great dodecicosahedron . It has 60 intersecting bow-tie-shaped faces.- External links :*...

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 dodecahemicosahedron
In geometry, the great dodecahemicosahedron is a nonconvex uniform polyhedron, indexed as U65. Its vertex figure is a crossed quadrilateral.It is a hemipolyhedron with ten hexagonal faces passing through the model center.- Related polyhedra :...

Great dodecahemicosacron
Great dodecahemicosacron
In geometry, the great dodecahemicosacron is the dual of the great dodecahemicosahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the small dodecahemicosacron....

5/45|3
6.5/4.6.5
Ih U65 K70 30 60 22 12{5}+10{6}
103 Great rhombihexahedron
Great rhombihexahedron
In geometry, the great rhombihexahedron is a nonconvex uniform polyhedron, indexed as U21. Its dual is the great rhombihexacron. Its vertex figure is a crossed quadrilateral.- Related polyhedra :...

Great rhombihexacron
Great rhombihexacron
In geometry, the great rhombihexacron is a nonconvex isohedral polyhedron. It is the dual of the uniform great rhombihexahedron . It has 24 identical bow-tie-shaped faces, 18 vertices, and 48 edges....

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
Great triakis icosahedron
In geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great stellated truncated dodecahedron....

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
Great deltoidal hexecontahedron
In geometry, the great deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the nonconvex great rhombicosidodecahedron. It has 60 intersecting cross quadrilateral faces, 120 edges, and 62 vertices....

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 icosihemidodecahedron
In geometry, the great icosihemidodecahedron is a nonconvex uniform polyhedron, indexed as U71. Its vertex figure is a crossed quadrilateral.It is a hemipolyhedron with 6 decagrammic faces passing through the model center.- Related polyhedra :...

Great icosihemidodecacron
Great icosihemidodecacron
In geometry, the great icosihemidodecacron is the dual of the great icosihemidodecahedron, and is one of nine dual hemipolyhedra. It appears indistinct from the great dodecahemidodecacron....

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 dodecahemidodecahedron
In geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U70. Its vertex figure is a crossed quadrilateral....

Great dodecahemidodecacron
Great dodecahemidodecacron
In geometry, the great dodecahemidodecacron is the dual of the great dodecahemidodecahedron, and is one of nine dual hemipolyhedra. It is appears indistinct from the great icosihemidodecacron....

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
Great disdyakis triacontahedron
In geometry, the great disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the great truncated icosidodecahedron....

5/32 3|
10/3.4.6
Ih U68 K73 120 180 62 30{4}+20{6}+12{10/3}
109 Great rhombidodecahedron
Great rhombidodecahedron
In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. Its vertex figure is a crossed quadrilateral.- Related polyhedra :...

Great rhombidodecacron
Great rhombidodecacron
In geometry, the great rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the great rhombidodecahedron. Its faces are antiparallelograms....

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 snub icosicosidodecahedron
In geometry, the small snub icosicosidodecahedron is a uniform star polyhedron, indexed as U32. It has 112 faces , 180 edges, and 60 vertices.- Convex hull :Its convex hull is a nonuniform truncated icosahedron....

Small hexagonal hexecontahedron
Small hexagonal hexecontahedron
In geometry, the small hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small snub icosicosidodecahedron. It is partially degenerate, having coincident vertices, as its dual has coplanar triangular faces....

|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
Medial pentagonal hexecontahedron
In geometry, the medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the snub dodecadodecahedron. It has 60 intersecting irregular pentagonal faces.- External links :*...

|25/25
3.3.5/2.3.5
I U40 K45 60 150 84 60{3}+12{5}+12{5/2}
112 Snub icosidodecadodecahedron
Snub icosidodecadodecahedron
In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46.- Cartesian coordinates :Cartesian coordinates for the vertices of a snub icosidodecadodecahedron are all the even permutations of...

Medial hexagonal hexecontahedron
Medial hexagonal hexecontahedron
In geometry, the small ditrigonal dodecacronic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform snub icosidodecadodecahedron....

|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
Great inverted pentagonal hexecontahedron
In geometry, the great inverted pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It's composed of 60 self-intersecting pentagonal faces, 150 edges and 92 vertices.It is the dual of the uniform great inverted snub icosidodecahedron....

|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
Medial inverted pentagonal hexecontahedron
In geometry, the medial inverted pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform inverted snub dodecadodecahedron....

|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 snub dodecicosidodecahedron
In geometry, the great snub dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U64.- Related polyhedra :It shares its vertices and edges, as well as 20 of its triangular faces and all its pentagrammic faces, with the great dirhombicosidodecahedron,...

Great hexagonal hexecontahedron
Great hexagonal hexecontahedron
In geometry, the great hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great snub dodecicosidodecahedron....

|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
Great pentagonal hexecontahedron
In geometry, the great pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the great snub icosidodecahedron. It has 60 intersecting irregular pentagonal faces, 120 edges, and 92 vertices.- External links :*...

|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
Great pentagrammic hexecontahedron
In geometry, the great pentagrammic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the great retrosnub icosidodecahedron....

|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 retrosnub icosicosidodecahedron
In geometry, the small retrosnub icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U72.- Convex hull :Its convex hull is a nonuniform truncated dodecahedron.- Cartesian coordinates :...

Small hexagrammic hexecontahedron
Small hexagrammic hexecontahedron
In geometry, the small hexagrammic hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the small retrosnub icosicosidodecahedron. It is partially degenerate, having coincident vertices, as its dual has coplanar triangular faces....

|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 dirhombicosidodecahedron
In geometry, the great dirhombicosidodecahedron is a nonconvex uniform polyhedron, indexed last as U75.This is the only uniform polyhedron with more than six faces meeting at a vertex...

Great dirhombicosidodecacron
Great dirhombicosidodecacron
In geometry, the great dirhombicosidodecacron is a nonconvex isohedral polyhedron. It is the dual of the great dirhombicosidodecahedron.In Magnus Wenninger's Dual Models, it is represented with intersecting infinite prisms passing through the model center, cut off at a certain point that is...

|3/25/335/2
(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}

External links

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