Isogonal Polyhedra

Dihedral Symmetry


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


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.

© Copyright 1999,2001 V.Bulatov. Commercial use of these materials is prohibited without prior written permission.