|
Site Search
If you found the information useful, consider to make a donation:
| |
written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
 Dodecahedron |
- Uniform Polyhedron: U23
- Platonic Solid
- Platonic Element: Ether
- Wythoff symbol: 3|2 5
- Symmetry Group: icosahedral
- Vertex Configuration: {5, 5, 5}
- Dual: icosahedron
- V: s3 / 4 * (15 + 7 * √5)
- A: s2 * 12 / 4 * √(25 + 10 * √5)
- rinner: s / 20 * √(250 + 110 * √5)
- router: s / 4 * (√15 + √3)
- Vertices/Connectors: 20 (3-way)
- Faces: 12 (5-sided)
- Edges/Struts:
Geodesic Dodecahedron L1 |
|
- Vertices/Connectors: 32
- Faces: 60 (3-sided)
- Edges/Struts:
- A x 60: 0.64085
- B x 30: 0.71364
- total 90 struts (2 kinds)
- strut variance 11.4%
Geodesic Dodecahedron L2 |
|
- Vertices/Connectors: 122
- Faces: 240 (3-sided)
- Edges/Struts:
- A x 120: 0.32474
- B x 120: 0.34034
- C x 60: 0.36284
- D x 60: 0.37668
- total 360 struts (4 kinds)
- strut variance 16.0%
Looks very symmertrical, L1 & L2 - yet, no straight hemisphere line.
Geodesic Dodecahedron L2T |
|
- Vertices/Connectors: 182
- 90 x 4-way
- 60 x 6-way
- 12 x 10-way
- 20 x 12-way
- Faces: 360 (3-sided)
- Edges/Struts:
- A x 60: 0.19071
- B x 120: 0.21151
- C x 120: 0.32474
- D x 60: 0.36059
- E x 60: 0.36284
- F x 120: 0.40698
- total 540 struts (6 kinds)
- strut variance 113.1%
- Vertices/Connectors: 101
- 8 x 3-way
- 45 x 4-way
- 32 x 6-way
- 4 x 7-way
- 4 x 10-way
- 8 x 12-way
- Faces: 180 (3-sided)
Dodecahedron Dome L2T Construction Map |
- Edges/Struts:
- A x 32: 0.19071
- B x 60: 0.21151
- C x 64: 0.32473
- D x 32: 0.36059
- E x 32: 0.36284
- F x 60: 0.40698
- total 280 struts (6 kinds)
- strut variance 113.1%
Next Page >>
Content:
|
