| Vertices: | 16 (4[3] + 12[4]) |
| Faces: | 16 (4 equilateral triangles + 12 irregular tetragons) |
| Edges: | 30 (12 short + 6 medium + 12 long) |
| Symmetry: | Chiral Tetrahedral (T) |
| Short Edge Angle: | acos(-root[9*(x^5)+39*(x^4)
+130*(x^3)+54*(x^2)−27*x−13]) | ≈117.071984442 degrees |
| Medium Edge Angle: | acos(-root[27*(x^5)+189*(x^4)
+606*(x^3)+618*(x^2)−105*x−311]) | ≈126.578204616 degrees |
| Long Edge Angle: | acos(-root[81*(x^5)−189*(x^4)
−126*(x^3)+414*(x^2)+93*x−209]) | ≈138.621170784 degrees |
| Dual Solid: | Biscribed Propello Tetrahedron (itself) |
| (values below based on circumscribed radius = 1) |
| Short Edge (12): | sqrt(root[81*(x^5)−432*(x^4)−288*(x^3)
+2304*(x^2)+3072*x−2048]) | ≈0.70660402902513360909 |
| Medium Edge (6): | sqrt(root[27*(x^5)−648*(x^4)+6528*(x^3)
−30720*(x^2)+61440*x−32768]) | ≈0.89897782053689887509 |
| Long Edge (12): | sqrt(root[9*(x^5)−168*(x^4)+1504*(x^3)
−6144*(x^2)+10752*x−6144]) | ≈1.0439256956066032646 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | root[27*(x^5)+27*(x^4)
+30*(x^3)−42*(x^2)−9*x−1] | ≈0.79795971954568180978 |
| Volume: | sqrt(root[14348907*(x^5)−2906155584*(x^4)
+210175451136*(x^3)−1364517715968*(x^2)
−12834570240*x−1073741824]) | ≈2.6814890651712673290 |