written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
Geodesic Truncated Cuboctahedron
Truncated Cuboctahedron
Truncated Cuboctahedron
Uniform Polyhedron: U11
aka Great Rhombicuboctahedron
Archimedean Solid: A3
Wythoff symbol: 2 3 4|
Symmetry Group: octahedral
Vertex Configuration: {4, 6, 8}
Dual: disdyakis dodecahedron
V: s3 * (22 + 14 * √2)
A: s2 * 12 * (2 + √2 + √3)
rinner: s * 3/97 * (14 + √2) * √(13 + 6 * √2)
router: s / 2 * √(13 + 6 * √2)
Vertices/Connectors: 48 (3-way)
Faces: 26
12 x 4-sided
8 x 6-sided
6 x 8-sided
Edges/Struts:
A x 72: 0.43148
Geodesic Truncated Cuboctahedron L1
Geodesic Truncated Cuboctahedron L1
Vertices/Connectors: 74
12 x 4-way
56 x 6-way
6 x 8-way
Faces: 144 (3-sided)
Edges/Struts:
A x 48: 0.30880
B x 72: 0.43148
C x 48: 0.44244
D x 48: 0.59001
total 216 struts (4 kinds)
strut variance 90.9%
The L1 looks very good, the Truncate Cuboctahedron has 8-, 6-, and 4-sided polygons, once centerpoint triangulated make up a beautiful shape.
Unfortunately no straight hemisphere line to derive a dome from.