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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
Truncated Dodecahedron |
- Uniform Polyhedron: U26
- Archimedean Solid: A10
- Wythoff symbol: 2 3|5
- Symmetry Group: icosahedral
- Vertex Configuration: {10, 10, 3}
- Dual: triakis icosahedron
- V: s3 * 5/12 * (99 + 47 * √5)
- A: s2 * 5 * (√3 + 6 * √(5 + 2 * √5))
- rinner: s * 5/488 * (17 * √2 + 3 * √10) * √(37 + 15 * √5)
- router: s / 4 * √(74 + 30 * √5)
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- Vertices/Connectors: 60 (3-way)
- Faces: 32
- 20 x 3-sided
- 12 x 10-sided
- Edges/Struts:
Geodesic Truncated Dodecahedron L1 |
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- Vertices/Connectors: 72
- Faces: 140 (3-sided)
- Edges/Struts:
- A x 90: 0.33676
- B x 120: 0.56832
- total 210 struts (2 kinds)
- strut variance 68.5%
Geodesic Truncated Dodecahedron L2 |
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- Vertices/Connectors: 282
- 60 x 5-way
- 210 x 6-way
- 12 x 10-way
- Faces: 560 (3-sided)
- Edges/Struts:
- A x 180: 0.16899
- B x 60: 0.17082
- C x 120: 0.17562
- D x 240: 0.28714
- E x 240: 0.29098
- total 840 struts (5 kinds)
- strut variance 72.2%
Beautiful shape, the L1 & L2, unfortunately no straight hemisphere line.
Geodesic Truncated Dodecahedron L2T |
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- Vertices/Connectors: 422
- 210 x 4-way
- 140 x 6-way
- 60 x 10-way
- 12 x 20-way
- Faces: 840 (3-sided)
- Edges/Struts:
- A x 60: 0.09874
- B x 240: 0.12901
- C x 180: 0.16899
- D x 120: 0.18392
- E x 60: 0.19536
- F x 240: 0.24880
- G x 240: 0.28714
- H x 120: 0.36730
- total 1260 struts (8 kinds)
- strut variance 270.7%
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