| Vertices: | 12 (4[3] + 4[3] + 4[4]) |
| Faces: | 10 ({2 opposite * 2} acute triangles + 2 rhombi
+ {2 opposite * 2} irregular pentagons) |
| Edges: | 20 (4 short + 8 medium + 8 long) |
| Symmetry: | 2-fold Rotoreflection (S4) |
| Dual Solid: | Simplest S4 (1 of 2) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (4): | sqrt(root[49*(x^4)−168*(x^3)+256*(x^2)−224*x+64]) | ≈0.68771944768279816176 |
| Medium Edge (8): | sqrt(root[(x^4)+8*(x^3)−96*(x^2)−992*x+1600]) | ≈1.2002216716148992436 |
| Long Edge (8): | sqrt(root[49*(x^4)−168*(x^3)
+704*(x^2)−1536*x+1024]) | ≈1.2620247991472689016 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[321489*(x^4)−268458624*(x^3)
+55702536192*(x^2)+966693224448*x
−14541836517376]) | ≈3.1279371698095168201 |