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Geodesic Polyhedra

written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022

Geodesic Truncated Dodecahedron

Truncated Dodecahedron


Truncated Dodecahedron
  • Uniform Polyhedron: U26
  • Archimedean Solid: A10
  • Wythoff symbol: 2 3|5
  • Symmetry Group: icosahedral
  • Vertex Configuration: {10, 10, 3}
  • Dual: triakis icosahedron
  • V: s3 * 5/12 * (99 + 47 * √5)
  • A: s2 * 5 * (√3 + 6 * √(5 + 2 * √5))
  • rinner: s * 5/488 * (17 * √2 + 3 * √10) * √(37 + 15 * √5)
  • router: s / 4 * √(74 + 30 * √5)
  • Vertices/Connectors: 60 (3-way)
  • Faces: 32
    • 20 x 3-sided
    • 12 x 10-sided
  • Edges/Struts:
    • A x 90: 0.33676

Geodesic Truncated Dodecahedron L1


Geodesic Truncated Dodecahedron L1
  • Vertices/Connectors: 72
    • 60 x 5-way
    • 12 x 10-way
  • Faces: 140 (3-sided)
  • Edges/Struts:
    • A x 90: 0.33676
    • B x 120: 0.56832
    • total 210 struts (2 kinds)
    • strut variance 68.5%

Geodesic Truncated Dodecahedron L2


Geodesic Truncated Dodecahedron L2
  • Vertices/Connectors: 282
    • 60 x 5-way
    • 210 x 6-way
    • 12 x 10-way
  • Faces: 560 (3-sided)
  • Edges/Struts:
    • A x 180: 0.16899
    • B x 60: 0.17082
    • C x 120: 0.17562
    • D x 240: 0.28714
    • E x 240: 0.29098
    • total 840 struts (5 kinds)
    • strut variance 72.2%
Beautiful shape, the L1 & L2, unfortunately no straight hemisphere line.

Geodesic Truncated Dodecahedron L2T


Geodesic Truncated Dodecahedron L2T
  • Vertices/Connectors: 422
    • 210 x 4-way
    • 140 x 6-way
    • 60 x 10-way
    • 12 x 20-way
  • Faces: 840 (3-sided)
  • Edges/Struts:
    • A x 60: 0.09874
    • B x 240: 0.12901
    • C x 180: 0.16899
    • D x 120: 0.18392
    • E x 60: 0.19536
    • F x 240: 0.24880
    • G x 240: 0.28714
    • H x 120: 0.36730
    • total 1260 struts (8 kinds)
    • strut variance 270.7%


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