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Geodesic Polyhedra

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

Geodesic Truncated Octahedron

Truncated Octahedron


Truncated Octahedron
  • Uniform Polyhedron: U8
  • Archimedean Solid: A12
  • Wythoff symbol: 2 4|3
  • Symmetry Group: octahedral
  • Vertex Configuration: {6, 6, 4}
  • Dual: tetrakis hexahedron
  • V: s3 * 8 * √2
  • A: s2 * (6 + 12 * √3)
  • rinner: s * 9/20 * √10
  • router: s / 2 * √10
  • Vertices/Connectors: 24 (3-way)
  • Faces: 14
    • 6 x 4-sided
    • 8 x 6-sided
  • Edges/Struts:
    • A x 36: 0.63246

Geodesic Truncated Octahedron L1


Geodesic Truncated Octahedron L1
  • Vertices/Connectors: 38
    • 6 x 4-way
    • 32 x 6-way
  • Faces: 72 (3-sided)
  • Edges/Struts:
    • A x 24: 0.45951
    • B x 36: 0.63246
    • C x 48: 0.67142
    • total 108 struts (3 kinds)
    • strut variance 45.9%


Geodesic Truncated Octahedron Dome L1


Geodesic Truncated Octahedron Dome L1

Geodesic Truncated Octahedron Dome L1
  • Vertices/Connectors: 25
    • 4 x 3-way
    • 9 x 4-way
    • 12 x 6-way
  • Faces: 36 (3-sided)

  • Truncated Octahedron Dome L1 Construction Map
  • Edges/Struts:
    • A x 16: 0.45951
    • B x 20: 0.63246
    • C x 24: 0.67142
    • total 60 struts (3 kinds)
    • strut variance 45.9%

d= A= x 16, B= x 20, C= x 24,

Geodesic Truncated Octahedron L2


Geodesic Truncated Octahedron L2
  • Vertices/Connectors: 146
    • 6 x 4-way
    • 140 x 6-way
  • Faces: 288 (3-sided)
  • Edges/Struts:
    • A x 48: 0.23131
    • B x 48: 0.23773
    • C x 72: 0.32036
    • D x 24: 0.32492
    • E x 48: 0.33571
    • F x 96: 0.34069
    • G x 96: 0.35506
    • total 432 struts (7 kinds)
    • strut variance 53.7%


Geodesic Truncated Octahedron Dome L2


Geodesic Truncated Octahedron Dome L2

Geodesic Truncated Octahedron Dome L2
  • Vertices/Connectors: 85
    • 4 x 3-way
    • 21 x 4-way
    • 60 x 6-way
  • Faces: 144 (3-sided)

  • Truncated Octahedron Dome L2 Construction Map
  • Edges/Struts:
    • A x 32: 0.23131
    • B x 24: 0.23773
    • C x 40: 0.32036
    • D x 12: 0.32492
    • E x 24: 0.33571
    • F x 48: 0.34069
    • G x 48: 0.35506
    • total 228 struts (7 kinds)
    • strut variance 53.7%

d= A= x 32, B= x 24, C= x 40, D= x 12, E= x 24, F= x 48, G= x 48,

Geodesic Truncated Octahedron L2T


Geodesic Truncated Octahedron L2T
  • Vertices/Connectors: 218
    • 108 x 4-way
    • 72 x 6-way
    • 6 x 8-way
    • 32 x 12-way
  • Faces: 432 (3-sided)
  • Edges/Struts:
    • A x 24: 0.11676
    • B x 48: 0.17275
    • C x 96: 0.19886
    • D x 48: 0.20923
    • E x 24: 0.22255
    • F x 48: 0.23131
    • G x 72: 0.32036
    • H x 48: 0.33995
    • I x 96: 0.34069
    • J x 96: 0.37969
    • K x 48: 0.40308
    • total 648 struts (11 kinds)
    • strut variance 244.4%


Geodesic Truncated Octahedron Dome L2T


Geodesic Truncated Octahedron Dome L2T

Geodesic Truncated Octahedron Dome L2T
  • Vertices/Connectors: 121
    • 12 x 3-way
    • 48 x 4-way
    • 4 x 5-way
    • 36 x 6-way
    • 8 x 7-way
    • 1 x 8-way
    • 12 x 12-way
  • Faces: 216 (3-sided)

  • Truncated Octahedron Dome L2T Construction Map
  • Edges/Struts:
    • A x 12: 0.11676
    • B x 24: 0.17275
    • C x 48: 0.19886
    • D x 24: 0.20923
    • E x 12: 0.22255
    • F x 32: 0.23131
    • G x 40: 0.32036
    • H x 24: 0.33995
    • I x 48: 0.34069
    • J x 48: 0.37969
    • K x 24: 0.40308
    • total 336 struts (11 kinds)
    • strut variance 244.4%

d= A= x 12, B= x 24, C= x 48, D= x 24, E= x 12, F= x 32, G= x 40, H= x 24, I= x 48, J= x 48, K= x 24,


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