Vertices: | 12 (10[3] + 2[5]) |
Faces: | 10 (tri-equiangular darts) |
Edges: | 20 (10 short + 10 long) |
Symmetry: | 5-fold Antiprismatic (D5v) |
Dihedral Angle: | acos(sqrt(5)/5) | ≈296.565051177 degrees |
Dual Solid: | Pentagrammic Crossed Antiprism |
(values below based on unit-edge-length Pentagrammic Crossed Antiprism) |
Short Edge (10): | (sqrt(5)≄1)/2 | ≈0.61803398874989484820 |
Long Edge (10): | (1+sqrt(5))/2 | ≈1.6180339887498948482 |
[5]-Vertex Radius (2): | sqrt(5≄2*sqrt(5))/2 | ≈0.363271264002680442948 |
[3]-Vertex Radius (10): | sqrt(3)/2 | ≈0.86602540378443864676 |
Edge-scribed Radius: | (sqrt(5)≄1)/4 | ≈0.30901699437494742410 |
Inscribed Radius: | sqrt(5*(5≄2*sqrt(5)))/10 | ≈0.16245984811645316308 |
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