| Vertices: | 28 (4[3] + 12[5] + 12[5]) |
| Faces: | 40 (28 equilateral triangles + 12 rhombi) |
| Edges: | 66 (all same length) |
| Symmetry: | Chiral Tetrahedral (T) |
| (values below based on edge length = 1) |
| Rhombus Length: | sqrt(root[81*(x^6)+1017*(x^5)
−4929*(x^4)−40918*(x^3)
+270695*(x^2)−516775*x+311929]) | ≈1.6470547415284258648 |
| Rhombus Width: | sqrt(root[81*(x^6)−2961*(x^5)
+34851*(x^4)−146618*(x^3)
+268415*(x^2)−222321*x+68557]) | ≈1.1345530743022691519 |
| Rhombus Angle: | acos(root[5184*(x^6)+63648*(x^5)
+161616*(x^4)−213680*(x^3)
+30764*(x^2)+28346*x−7321]) | ≈69.121055849 degrees |
| Volume: | sqrt(root[6th-order polynomial]) | ≈9.7080980740274225188 |