Hexagonal Prism - Related Polyhedra and Tilings

Related Polyhedra and Tilings

This polyhedron can be considered a member of a sequence of uniform patterns with vertex figure (4.6.2p) and Coxeter-Dynkin diagram . For p < 6, the members of the sequence are omnitruncated polyhedra (zonohedrons), shown below as spherical tilings. For p > 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling.

Symmetry Spherical planar Hyperbolic
*232

D3h
*332

Td
*432

Oh
*532

Ih
*632

P6m
*732

*832

*∞32

Order 12 24 48 120
Omnitruncated
figure

4.6.4

4.6.6

4.6.8

4.6.10

4.6.12

4.6.14

4.6.16

4.6.∞
Coxeter
Schläfli

t0,1,2{2,3}

t0,1,2{3,3}

t0,1,2{4,3}

t0,1,2{5,3}

t0,1,2{6,3}

t0,1,2{7,3}

t0,1,2{8,3}

t0,1,2{∞,3}
Omnitruncated
duals

V4.6.4

V4.6.6

V4.6.8

V4.6.10

V4.6.12

V4.6.14
V4.6.16 V4.6.∞
Coxeter

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