| Vertices: | 48 (24[4] + 12[4] + 12[4]) |
| Faces: | 50 ({4 * 2} equilateral triangles + 12 isosceles triangles
+ 6 squares + 12 isosceles trapezoids
+ 12 mirror-symmetric pentagons) |
| Edges: | 96 (5 different lengths) |
| Symmetry: | Full Tetrahedral (Td) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (12): | sqrt(root[19321*(x^5)−462520*(x^4)
+3777760*(x^3)−10985984*(x^2)
+2355456*x−18432]) | ≈0.47290019393785839158 |
| Edge 2 (24): | sqrt(root[126765081*(x^5)
−1063106802*(x^4)
+1727599168*(x^3)
−1168221120*(x^2)
+350717696*x−37601792]) | ≈0.49893365134747130092 |
| Edge 3 (24): | sqrt(root[6561*(x^5)−47088*(x^4)
+122464*(x^3)−194304*(x^2)
+164096*x−32768]) | ≈0.524967108757084210254 |
| Edge 4 (24): | sqrt(root[112593321*(x^5)
−1016019234*(x^4)
+3416454208*(x^3)
−5223418624*(x^2)
+3365978112*x−601628672]) | ≈0.52892531240632894679 |
| Edge 5 (12): | sqrt(root[17161*(x^5)−177208*(x^4)
+850144*(x^3)−2451968*(x^2)
+696576*x−18432]) | ≈0.53288351605557368332 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[5th-order polynomial]) | ≈3.9902915467932998012 |