# Isogonal Polyhedra

### Dihedral Symmetry

#### Prisms

P2,
P3,
P4,
P5(1),
P5(2),
P6

#### Antiprisms

A2,

A3(1),
A3(2)

A4(1),
A4(3)

A5(1),
A5(2),
A5(3),
A5(4)

A6(1),
A6(5)

A7(1),
A7(2),
A7(3),
A7(4),
A7(5),
A7(6)

#### Crown (butterfly) polyhedra

Prismatic crowns:

CP3,
CP4,
CP5,
CP6

CP4(2),
CP5(2),
CP6(2)

Anti-prismatic crowns:

CA2,
CA3,
CA4,
CA5,
CA6

Bigonal antiprismatic crowns (two kind of vertices):

C2_2,
C2_3,
C2_4,
C2_5,
C2_6

#### Grunbaum's prismatoids

gr17a
(1),
(2),
(3)

gr17b
(2),
(3)

gr17c
(2),
(3)

gr20a
(1),
(2),
(3)

gr20b
(1),
(2),
(3)

gr20c
(1),
(2),
(3)

gr34(2),
(3)

### Tetrahedral Symmetry

T1
T2
T3
T4
T5
T6
T7
T8
T9
T10

### Rotational Octahedral Symmetry

#### 3 faces per vertex

O_3_1 compound of 6 tetrahedra

O_3_2 compound of 6 tetrahedra

#### 4 faces per vertex

O_4_1 compound of 3 prizmatoids

O_4_2 compound of 4 prizmatoids

#### 5 faces per vertex

O_5_1 compound 2 twisted double truncated octahedra

O_5_2 deformation of snub cube

#### 6 faces per vertex

O_6_1 compound of 2 tetrahedral polyhedra

O_6_2 compound of 3 prizmatoids

O_6_3 compound of 12 diagonal tetrahedra, with 2 tetrahera adjacent to every vertex

O_6_4 first new octahedral non-compound

O_6_5 compound of 12 tetrahedra (parallel to edges of octahedron)

### Kaleidoscopical Polyhedra

They deserve their own page.
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