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Geodesic Polyhedra

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

Geodesic Truncated Cube

Truncated Cube


Truncated Cube
  • Uniform Polyhedron: U9
  • Archimedean Solid: A9
  • Wythoff symbol: 2 3|4
  • Symmetry Group: octahedral
  • Vertex Configuration: {8, 8, 3}
  • Dual: triakis octahedron
  • V: s3 / 3 * (21 + 14 * √2)
  • A: s2 * 2 * (6 + 6 * √2 + √3)
  • rinner: s / 17 * (5 + 2 * √2 * √(7 + 4 * √2))
  • router: s / 2 * √(7 + 4 * √2)
  • Vertices/Connectors: 24 (3-way)
  • Faces: 14
    • 8 x 3-sided
    • 6 x 8-sided
  • Edges/Struts:
    • A x 36: 0.56217

Geodesic Truncated Cube L1


Geodesic Truncated Cube L1
  • Vertices/Connectors: 30
    • 24 x 5-way
    • 6 x 8-way
  • Faces: 56 (3-sided)
  • Edges/Struts:
    • A x 36: 0.56217
    • B x 48: 0.80175
    • total 84 struts (2 kinds)
    • strut variance 42.7%

Geodesic Truncated Cube L2


Geodesic Truncated Cube L2
  • Vertices/Connectors: 114
    • 24 x 5-way
    • 84 x 6-way
    • 6 x 8-way
  • Faces: 224 (3-sided)
  • Edges/Struts:
    • A x 72: 0.28396
    • B x 24: 0.29289
    • C x 48: 0.30682
    • D x 96: 0.40955
    • E x 96: 0.42500
    • total 336 struts (5 kinds)
    • strut variance 49.6%
I actually like this form, in particular the L1. The L2 doesn't provide a straight hemisphere line, unfortunately.

Geodesic Truncated Cube L2T


Geodesic Truncated Cube L2T
  • Vertices/Connectors: 170
    • 84 x 4-way
    • 56 x 6-way
    • 24 x 10-way
    • 6 x 16-way
  • Faces: 336 (3-sided)
  • Edges/Struts:
    • A x 24: 0.16971
    • B x 96: 0.20622
    • C x 48: 0.26223
    • D x 72: 0.28396
    • E x 24: 0.32905
    • F x 96: 0.38292
    • G x 96: 0.40955
    • H x 48: 0.51649
    • total 504 struts (8 kinds)
    • strut variance 203.5%


Geodesic Truncated Cube Dome L2T


Geodesic Truncated Cube Dome L2T

Geodesic Truncated Cube Dome L2T
  • Vertices/Connectors: 95
    • 6 x 3-way
    • 47 x 4-way
    • 28 x 6-way
    • 2 x 9-way
    • 10 x 10-way
    • 2 x 16-way
  • Faces: 168 (3-sided)

  • Truncated Cube Dome L2T Construction Map
  • Edges/Struts:
    • A x 14: 0.16971
    • B x 48: 0.20622
    • C x 26: 0.26223
    • D x 38: 0.28396
    • E x 14: 0.32905
    • F x 48: 0.38292
    • G x 48: 0.40955
    • H x 26: 0.51649
    • total 262 struts (8 kinds)
    • strut variance 203.5%

d= A= x 14, B= x 48, C= x 26, D= x 38, E= x 14, F= x 48, G= x 48, H= x 26,


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