| Vertices: | 14 (4[3] + 4[3] + 4[4] + 2[4]) |
| Faces: | 12 (rhombi) |
| Edges: | 24 (equal length) |
| Symmetry: | 2-fold Prismatic (D2h) |
| Dihedral Angle 1 (4): | acos((sqrt(5)−1)/4) | 72 degrees |
| Dihedral Angle 2 (8): | acos(−(sqrt(5)−1)/4) | 108 degrees |
| Dihedral Angle 3 (12): | acos(−(1+sqrt(5))/4) | 144 degrees |
| The dual has the same polyhedral graph as the Cuboctahedron |
| (values below based on edge length = 1) |
| Rhombus Length: | sqrt(10*(5+sqrt(5)))/5 | ≈1.7013016167040798644 |
| Rhombus Width: | sqrt(10*(5−sqrt(5)))/5 | ≈1.0514622242382672121 |
| Volume: | 4*sqrt(5+2*sqrt(5))/5 | ≈2.4621468297402027221 |
| References: | [1] | Stanko Bilinski, Über die Rhombenisoeder, Glasnik Mat.-Fiz.
Astronom. Društvo Mat. Fiz. Hrvatske Ser. II 15 (1960), 251-262. |
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