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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
 Rhombicosidodecahedron |
- Uniform Polyhedron: U27
- aka Small Rhombicosidodecahedron
- Archimedean Solid: A5
- Wythoff symbol: 3 5|2
- Symmetry Group: icosahedral
- Vertex Configuration: {4, 3, 4, 5}
- Dual: deltoidal hexecontahedron
- V: s3 / 3 * (60 + 29 * √5)
- A: s2 * (30 + √(30 * (10 + 3 * √5 + √(15 * (5 + 2 * √5)))))
- rinner: s / 41 * (15 + 2 *√5) * √(11 + 4 * √5)
- router: s / 2 * √(11 + 4 * √5)
- Vertices/Connectors: 60 (4-way)
- Faces: 62
- 20 x 3-sided
- 30 x 4-sided
- 12 x 5-sided
- Edges/Struts:
Geodesic Rhombicosidodecahedron L1 |
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- Vertices/Connectors: 102
- 30 x 4-way
- 12 x 5-way
- 60 x 7-way
- Faces: 200 (3-sided)
- Edges/Struts:
- A x 120: 0.32082
- B x 60: 0.38835
- C x 120: 0.44784
- total 300 struts (3 kinds)
- strut variance 39.6%
Geodesic Rhombicosidodecahedron L2 |
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- Vertices/Connectors: 402
- 30 x 4-way
- 12 x 5-way
- 300 x 6-way
- 60 x 7-way
- Faces: 800 (3-sided)
- Edges/Struts:
- A x 240: 0.16093
- B x 240: 0.16306
- C x 120: 0.19510
- D x 120: 0.19848
- E x 240: 0.22535
- F x 120: 0.22686
- G x 60: 0.22826
- H x 60: 0.22975
- total 1200 struts (8 kinds)
- strut variance 42.9%
Geodesic Rhombicosidodecahedron L2T |
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- Vertices/Connectors: 602
- 300 x 4-way
- 200 x 6-way
- 30 x 8-way
- 12 x 10-way
- 60 x 14-way
- Faces: 1200 (3-sided)
- Edges/Struts:
- A x 120: 0.07843
- B x 60: 0.10864
- C x 240: 0.12006
- D x 120: 0.12647
- E x 60: 0.13294
- F x 120: 0.15322
- G x 240: 0.16093
- H x 120: 0.19510
- I x 60: 0.21265
- J x 240: 0.22535
- K x 240: 0.23829
- L x 120: 0.24957
- M x 60: 0.26079
- total 1800 struts (13 kinds)
- strut variance 234.6%
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