bgcolor=#e7dcc3 colspan=2 | Order-5 dodecahedral honeycomb | |
---|---|---|
Perspective projection view from center of Poincaré disk model | ||
Properties | Vertex-transitive, edge-transitive, cell-transitive |
bgcolor=#e7dcc3 colspan=2 | Cantellated order-5 dodecahedral honeycomb | - | bgcolor=#ffffff align=center colspan=2 | --> |
---|---|---|---|---|
Type | Uniform honeycombs in hyperbolic space | |||
Schläfli symbol | rr t0,2 | |||
Coxeter diagram | ||||
Cells | ||||
Faces | ||||
Vertex figure | wedge | |||
Coxeter group | \overline{K}3 | |||
Properties | Vertex-transitive |
bgcolor=#e7dcc3 colspan=2 | Cantitruncated order-5 dodecahedral honeycomb | - | bgcolor=#ffffff align=center colspan=2 | --> |
---|---|---|---|---|
Type | Uniform honeycombs in hyperbolic space | |||
Schläfli symbol | tr t0,1,2 | |||
Coxeter diagram | ||||
Cells | ||||
Faces | ||||
Vertex figure | mirrored sphenoid | |||
Coxeter group | \overline{K}3 | |||
Properties | Vertex-transitive |
bgcolor=#e7dcc3 colspan=2 | Runcinated order-5 dodecahedral honeycomb | - | bgcolor=#ffffff align=center colspan=2 | --> |
---|---|---|---|---|
Type | Uniform honeycombs in hyperbolic space | |||
Schläfli symbol | t0,3 | |||
Coxeter diagram | ||||
Cells | ||||
Faces | ||||
Vertex figure | triangular antiprism | |||
Coxeter group | 2 x \overline{K}3 | |||
Properties | Vertex-transitive, edge-transitive |
bgcolor=#e7dcc3 colspan=2 | Runcitruncated order-5 dodecahedral honeycomb | - | bgcolor=#ffffff align=center colspan=2 | --> |
---|---|---|---|---|
Type | Uniform honeycombs in hyperbolic space | |||
Schläfli symbol | t0,1,3 | |||
Coxeter diagram | ||||
Cells | ||||
Faces | ||||
Vertex figure | isosceles-trapezoidal pyramid | |||
Coxeter group | \overline{K}3 | |||
Properties | Vertex-transitive |
The runcicantellated order-5 dodecahedral honeycomb is equivalent to the runcitruncated order-5 dodecahedral honeycomb.
bgcolor=#e7dcc3 colspan=2 | Omnitruncated order-5 dodecahedral honeycomb | - | bgcolor=#ffffff align=center colspan=2 | --> |
---|---|---|---|---|
Type | Uniform honeycombs in hyperbolic space | |||
Schläfli symbol | t0,1,2,3 | |||
Coxeter diagram | ||||
Cells | ||||
Faces | ||||
Vertex figure | phyllic disphenoid | |||
Coxeter group | 2 x \overline{K}3 | |||
Properties | Vertex-transitive |