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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
Truncated Icosidodecahedron |
- Uniform Polyhedron: U28
- aka Great Rhombicosidodecahedron (which actually is misleading as it also references U67 "(Uniform) Great Rhombicosidodecahedron")
- aka Rhombitruncated Icosidodecahedron
- aka Omnitruncated Icosidodecahedron
- Archimedean Solid: A2
- Wythoff symbol: 2 3 5|
- Symmetry Group: icosahedral
- Vertex Configuration: {4, 6, 10}
- Dual: disdyakis triacontahedron
- V: s3 * (95 + 50 * √5)
- A: s2 * 30 * (1 + √(2 * (4 + √5 + √(15 + 6 * √6))))
- rinner: s * 1/241 * (105 + 6 * √5 * √(31 + 12 * √5))
- router: s / 2 * √(31 + 12 * √5)
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- Vertices/Connectors: 120 (3-way)
- Faces: 62
- 30 x 4-sided
- 20 x 6-sided
- 12 x 10-sided
- Edges/Struts:
Geodesic Truncated Icosidodecahedron L1 |
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- Vertices/Connectors: 182
- 30 x 4-way
- 140 x 6-way
- 12 x 10-way
- Faces: 360 (3-sided)
- Edges/Struts:
- A x 120: 0.18678
- B x 180: 0.26299
- C x 120: 0.26534
- D x 120: 0.43602
- total 540 struts (4 kinds)
- strut variance 133.2%
Geodesic Truncated Icosidodecahedron L2 |
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- Vertices/Connectors: 722
- 30 x 4-way
- 680 x 6-way
- 12 x 10-way
- Faces: 1440 (3-sided)
- Edges/Struts:
- A x 240: 0.09349
- B x 240: 0.09390
- C x 480: 0.13207
- D x 360: 0.13267
- E x 240: 0.13384
- F x 120: 0.13474
- G x 240: 0.21933
- H x 240: 0.22109
- total 2160 struts (8 kinds)
- strut variance 137.6%
Geodesic Truncated Icosidodecahedron L2T |
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- Vertices/Connectors: 1082
- 540 x 4-way
- 360 x 6-way
- 30 x 8-way
- 140 x 12-way
- 12 x 20-way
- Faces: 2160 (3-sided)
- Edges/Struts:
- A x 120: 0.04457
- B x 240: 0.06971
- C x 240: 0.07688
- D x 120: 0.07755
- E x 120: 0.08844
- F x 240: 0.09349
- G x 240: 0.09792
- H x 360: 0.13178
- I x 240: 0.13296
- J x 240: 0.13905
- K x 120: 0.13996
- L x 240: 0.15274
- M x 120: 0.15410
- N x 240: 0.19179
- O x 240: 0.21933
- P x 120: 0.27955
- total 3240 struts (16 kinds)
- strut variance 522.2%
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