Vertices: | 12 (12[6]) |
Faces: | 24 (12 equilateral triangles + 12 obtuse triangles) |
Edges: | 36 (24 short + 6 medium + 6 long) |
Symmetry: | 6-fold Dihedral (D6) |
Dihedral Angle 1 (6): | acos((3+2*sqrt(3))/9) | ≈44.091172088 degrees |
Dihedral Angle 2 (12): | acos(sqrt(3*(2*sqrt(3)−3))/3) | ≈66.838768774 degrees |
Dihedral Angle 3 (12): | acos(−(2*sqrt(3)−1)/3) | ≈145.221891332 degrees |
Dihedral Angle 4 (6): | acos(5*sqrt(3)/9) | ≈344.206830952 degrees |
(values below based on short edge length = 1) |
Short Edge (24): | 1 |
Medium Edge (6): | sqrt(1+sqrt(3)) | ≈1.6528916502810694801 |
Long Edge (6): | sqrt(1+2*sqrt(3)) | ≈2.1128420705622449781 |
Volume: | 3*sqrt(sqrt(3)−1)/2 | ≈1.283399515751028289454 |
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