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Geodesic Polyhedra

written by Rene K. Mueller, Copyright (c) 2007, last updated Sun, October 28, 2012

Geodesic Truncated Icosidodecahedron

Truncated Icosidodecahedron


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)
  • Vertices/Connectors: 120 (3-way)
  • Faces: 62
    • 30 x 4-sided
    • 20 x 6-sided
    • 12 x 10-sided
  • Edges/Struts:
    • A x 180: 0.26299

Geodesic Truncated Icosidodecahedron L1


Geodesic Truncated Icosidodecahedron L1
  • 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


Geodesic Truncated Icosidodecahedron L2
  • 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


Geodesic Truncated Icosidodecahedron L2T
  • 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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