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Geodesic Polyhedra

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

Geodesic Truncated Tetrahedron

Truncated Tetrahedron


Truncated Tetrahedron
  • Uniform Polyhedron: U2
  • Archimedean Solid: A13
  • Wythoff symbol: 2 3|3
  • Symmetry Group: tetrahedral
  • Vertex Configuration: {6, 6, 3}
  • Dual: triakis tetrahedron
  • V: s3 * 23/12 * √2
  • A: s2 * 7 * √3
  • rinner: s * 9 / 44 * √22
  • router: s / 4 * √22
  • Vertices/Connectors: 12 (3-way)
  • Faces: 8
    • 4 x 3-sided
    • 4 x 6-sided
  • Edges/Struts:
    • A x 18: 0.85280

Geodesic Truncated Tetrahedron L1


Geodesic Truncated Tetrahedron L1
  • Vertices/Connectors: 16
    • 12 x 5-way
    • 4 x 6-way
  • Faces: 28 (3-sided)
  • Edges/Struts:
    • A x 18: 0.85280
    • B x 24: 0.97751
    • total 42 struts (2 kinds)
    • strut variance 14.7%

Geodesic Truncated Tetrahedron L2


Geodesic Truncated Tetrahedron L2
  • Vertices/Connectors: 58
    • 12 x 5-way
    • 46 x 6-way
  • Faces: 112 (3-sided)
  • Edges/Struts:
    • A x 36: 0.43696
    • B x 12: 0.47140
    • C x 24: 0.48876
    • D x 48: 0.50513
    • E x 48: 0.54901
    • total 168 struts (5 kinds)
    • strut variance 25.6%
No base line, so likely not suitable for dome variant.

Geodesic Truncated Tetrahedron L2T


Geodesic Truncated Tetrahedron L2T
  • Vertices/Connectors: 86
    • 42 x 4-way
    • 28 x 6-way
    • 12 x 10-way
    • 4 x 12-way
  • Faces: 168 (3-sided)
  • Edges/Struts:
    • A x 12: 0.27477
    • B x 48: 0.29984
    • C x 24: 0.32817
    • D x 36: 0.43696
    • E x 48: 0.50513
    • F x 12: 0.50914
    • G x 48: 0.53698
    • H x 24: 0.61550
    • total 252 struts (8 kinds)
    • strut variance 124.0%


Geodesic Truncated Tetrahedron Dome L2T


Geodesic Truncated Tetrahedron Dome L2T

Geodesic Truncated Tetrahedron Dome L2T
  • Vertices/Connectors: 50
    • 4 x 3-way
    • 25 x 4-way
    • 13 x 6-way
    • 2 x 7-way
    • 5 x 10-way
    • 1 x 12-way
  • Faces: 84 (3-sided)

  • Truncated Tetrahedron Dome L2T Construction Map
  • Edges/Struts:
    • A x 7: 0.27477
    • B x 24: 0.29984
    • C x 14: 0.32817
    • D x 19: 0.43696
    • E x 24: 0.50513
    • F x 7: 0.50914
    • G x 24: 0.53698
    • H x 14: 0.61550
    • total 133 struts (8 kinds)
    • strut variance 124.0%

d= A= x 7, B= x 24, C= x 14, D= x 19, E= x 24, F= x 7, G= x 24, H= x 14,
Using triacon subdivision, all of the sudden a base line appears - so I will explore the dome variant as well.


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