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# Geodesic Polyhedra

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

## 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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Creative Commons (CC) BY-SA-NC 2005-2017, developed, designed and written by René K. Müller
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