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Geodesic Polyhedra

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

Geodesic Snub Dodecahedron

Snub Dodecahedron


Snub Dodecahedron
  • Uniform Polyhedron: U29
  • Archimedean Solid: A8
  • Wythoff symbol: |2 3 5
  • Symmetry Group: icosahedral
  • Vertex Configuration: {3, 3, 3, 3, 5}
  • Dual: pentagonal hexecontahedron
  • V: s3 * 3.7543
  • A: s2 * √(15 * (95 + 6 * √5 + 8 * √(15 * (5 + 2 * √5))))
  • rinner: s * 2.03987315
  • router: s * 2.15583737
  • Vertices/Connectors: 60 (5-way)
  • Faces: 92
    • 80 x 3-sided
    • 12 x 5-sided
  • Edges/Struts:
    • A x 150: 0.46386

Geodesic Snub Dodecahedron L1


Geodesic Snub Dodecahedron L1
  • Vertices/Connectors: 72
    • 12 x 5-way
    • 60 x 6-way
  • Faces: 140 (3-sided)
  • Edges/Struts:
    • A x 60: 0.40284
    • B x 150: 0.46386
    • total 210 struts (2 kinds)
    • strut variance 15.1%

Geodesic Snub Dodecahedron L2


Geodesic Snub Dodecahedron L2
  • Vertices/Connectors: 282
    • 12 x 5-way
    • 270 x 6-way
  • Faces: 560 (3-sided)
  • Edges/Struts:
    • A x 120: 0.20246
    • B x 120: 0.20623
    • C x 300: 0.23353
    • D x 60: 0.23678
    • E x 240: 0.23843
    • total 840 struts (5 kinds)
    • strut variance 17.8%

Geodesic Snub Dodecahedron L2T


Geodesic Snub Dodecahedron L2T
  • Vertices/Connectors: 422
    • 210 x 4-way
    • 140 x 6-way
    • 12 x 10-way
    • 60 x 12-way
  • Faces: 840 (3-sided)
  • Edges/Struts:
    • A x 60: 0.11301
    • B x 120: 0.13126
    • C x 240: 0.13799
    • D x 120: 0.20246
    • E x 60: 0.22085
    • F x 300: 0.23353
    • G x 120: 0.25876
    • H x 240: 0.27029
    • total 1260 struts (8 kinds)
    • strut variance 138.9%


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