| Vertices: | 14 (2[3] + 6[3] + 6[3]) |
| Faces: | 9 (3 squares + 6 mirror-symmetric pentagons) |
| Edges: | 21 (15 short + 6 long) |
| Symmetry: | 3-fold Prismatic (D3h) |
| Pentagon-Pentagon Angle: | acos(−1/7) | ≈98.213210702 degrees |
| Pentagon-Square Angle: | acos(−sqrt(7)/7) | ≈112.207654299 degrees |
| (values below based on long edge length = 2) |
| Short Edge (15): | 3*(2−sqrt(2)) | ≈1.7573593128807148536 |
| Long Edge (6): | 2 |
| 5-5-5 Vertex Radius (2): | 3*sqrt(2)−2 | ≈2.2426406871192851464 |
| 4-5-5 Vertex Radius (12): | sqrt(6*(5−3*sqrt(2))) | ≈2.1317025771163033244 |
| Pentagon Plane Radius: | (3*sqrt(42)−2*sqrt(21))/7 | ≈1.4681529579017000971 |
| Square Plane Radius: | sqrt(3) | ≈1.73205080756887729353 |
| Edge-scribed Radius: | (3*sqrt(6)−2*sqrt(3))/2 | ≈1.9421838066058898538 |
| Volume: | 3*(68*sqrt(3)−45*sqrt(6)) | ≈22.657249468321924623 |
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