Related Polyhedra and Tilings
This tiling is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane. These vertex-transitive figures have (*n32) reflectional symmetry.
| Symmetry *n32 |
Spherical | Planar | Hyperbolic... | |||||
|---|---|---|---|---|---|---|---|---|
| *232 D3h |
*332 Td |
*432 Oh |
*532 Ih |
*632 P6m |
*732 |
*832 ... |
*∞32 |
|
| Expanded figure |
3.4.2.4 |
3.4.3.4 |
3.4.4.4 |
3.4.5.4 |
3.4.6.4 |
3.4.7.4 |
3.4.8.4 |
3.4.∞.4 |
| Coxeter Schläfli |
t0,2{2,3} |
t0,2{3,3} |
t0,2{4,3} |
t0,2{5,3} |
t0,2{6,3} |
t0,2{7,3} |
t0,2{8,3} |
t0,2{∞,3} |
| Deltoidal figure | V3.4.2.4 |
V3.4.3.4 |
V3.4.4.4 |
V3.4.5.4 |
V3.4.6.4 |
V3.4.7.4 |
V3.4.8.4 |
V3.4.∞.4 |
| Coxeter | ||||||||
From a Wythoff construction there are eight hyperbolic uniform tilings that can be based from the regular heptagonal tiling.
Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms.
| Symmetry:, (*732) | +, (732) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| {7,3} | t0,1{7,3} | t1{7,3} | t1,2{7,3} | t2{7,3} | t0,2{7,3} | t0,1,2{7,3} | s{7,3} | |||
| Uniform duals | ||||||||||
| V73 | V3.14.14 | V3.7.3.7 | V6.6.7 | V37 | V3.4.7.4 | V4.6.14 | V3.3.3.3.7 | |||
Read more about this topic: Rhombitriheptagonal Tiling
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