Related Polyhedra and Tiling
| Symmetry:, (*542) | +, (542) | , (5*2) | , (*552) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| {5,4} | t0,1{5,4} | t1{5,4} | t1,2{5,4} | t2{5,4} | t0,2{5,4} | t0,1,2{5,4} | s{5,4} | h0,1{5,4} | h2{5,4} | |
| Uniform duals | ||||||||||
| V54 | V4.10.10 | V4.5.4.5 | V5.8.8 | V45 | V4.4.5.4 | V4.8.10 | V3.3.4.3.5 | V3.3.5.3.5 | V55 | |
| Symmetry:, (*552) | +, (552) | ||||||
|---|---|---|---|---|---|---|---|
| {5,5} | t0,1{5,5} |
t1{5,5} | t1,2{5,5} | t2{5,5} | t0,2{5,5} | t0,1,2{5,5} | s{5,5} |
| Uniform duals | |||||||
| V5.5.5.5.5 | V5.10.10 | V5.5.5.5 | V5.10.10 | V5.5.5.5.5 | V4.5.4.5 | V4.10.10 | V3.3.5.3.5 |
This tiling is topologically related as a part of sequence of regular polyhedra and tilings with pentagonal faces, starting with the dodecahedron, with Schläfli symbol {5,n}, and Coxeter diagram, progressing to infinity.
{5,3} |
{5,4} |
{5,5} |
{5,6} |
{5,7} |
This tiling is also topologically related as a part of sequence of regular polyhedra and tilings with four faces per vertex, starting with the octahedron, with Schläfli symbol {n,4}, and Coxeter diagram, with n progressing to infinity.
| Spherical | Euclidean | Hyperbolic tilings | ||||||
|---|---|---|---|---|---|---|---|---|
{2,4} |
{3,4} |
{4,4} |
{5,4} |
{6,4} |
{7,4} |
{8,4} |
... | {∞,4} |
Read more about this topic: Order-4 Pentagonal Tiling
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