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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
Truncated Icosahedron |
- Uniform Polyhedron: U25
- Archimedean Solid: A11
- Wythoff symbol: 2 5|3
- Symmetry Group: icosahedral
- Vertex Configuration: {6, 6, 5}
- Dual: pentakis dodecahedron
- V: s3 / 4 * (125 + 43 * √5)
- A: s2 * 3 * (10 * √3 + √5 * √(5 + 2 * √5))
- rinner: s * 9/872 * (21 + √5) * √(58 + 18 * √5)
- router: s / 4 * √(58 + 18 * √5)
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- Vertices/Connectors: 60 (3-way)
- Faces: 32
- 12 x 5-sided
- 20 x 6-sided
- Edges/Struts:
Geodesic Truncated Icosahedron L1 |
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- Vertices/Connectors: 92
- Faces: 180 (3-sided)
- Edges/Struts:
- A x 60: 0.34862
- B x 90: 0.40355
- C x 120: 0.41241
- total 270 struts (3 kinds)
- strut variance 18.1%
- Vertices/Connectors: 46
- 15 x 4-way
- 6 x 5-way
- 25 x 6-way
- Faces: 75 (3-sided)
Truncated Icosahedron Dome L1 Construction Map |
- Edges/Struts:
- A x 30: 0.34862
- B x 40: 0.40355
- C x 50: 0.41241
- total 120 struts (3 kinds)
- strut variance 18.1%
The L1 seems like having two straight hemisphere lines, at 3/7 and 4/7 approximately, looks like a Icosahedron 3V.
Geodesic Truncated Icosahedron L2 |
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- Vertices/Connectors: 362
- Faces: 720 (3-sided)
- Edges/Struts:
- A x 120: 0.17498
- B x 120: 0.17741
- C x 180: 0.20282
- D x 60: 0.20491
- E x 120: 0.20621
- F x 240: 0.20732
- G x 240: 0.21063
- total 1080 struts (7 kinds)
- strut variance 20.6%
- Vertices/Connectors: 196
- 30 x 4-way
- 6 x 5-way
- 160 x 6-way
- Faces: 360 (3-sided)
Truncated Icosahedron Dome L2 Construction Map |
- Edges/Struts:
- A x 60: 0.17498
- B x 60: 0.17741
- C x 90: 0.20282
- D x 30: 0.20491
- E x 65: 0.20621
- F x 120: 0.20732
- G x 130: 0.21063
- total 555 struts (7 kinds)
- strut variance 20.6%
Geodesic Truncated Icosahedron L2T |
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- Vertices/Connectors: 542
- 270 x 4-way
- 180 x 6-way
- 12 x 10-way
- 80 x 12-way
- Faces: 1080 (3-sided)
- Edges/Struts:
- A x 60: 0.09684
- B x 120: 0.11337
- C x 240: 0.12015
- D x 120: 0.12264
- E x 120: 0.17498
- F x 60: 0.19033
- G x 180: 0.20282
- H x 240: 0.20732
- I x 120: 0.22432
- J x 240: 0.23636
- K x 120: 0.24155
- total 1620 struts (11 kinds)
- strut variance 149.5%
- Vertices/Connectors: 289
- 12 x 3-way
- 141 x 4-way
- 88 x 6-way
- 8 x 7-way
- 4 x 10-way
- 36 x 12-way
- Faces: 540 (3-sided)
Truncated Icosahedron Dome L2T Construction Map |
- Edges/Struts:
- A x 32: 0.09684
- B x 60: 0.11337
- C x 120: 0.12015
- D x 64: 0.12264
- E x 64: 0.17498
- F x 32: 0.19033
- G x 92: 0.20282
- H x 120: 0.20732
- I x 60: 0.22432
- J x 120: 0.23636
- K x 64: 0.24155
- total 828 struts (11 kinds)
- strut variance 149.5%
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