Dipyramids & Trapezohedra
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Triangular Dipyramid
canonical form
Vertices:
5 (2[3] + 3[4])
Faces:
6 (isosceles triangles)
Edges:
9 (6 short + 3 long)
Symmetry:
3-fold Prismatic (D3h)
Dihedral Angle:
acos(−1/7)
≈98.213210702 degrees
Dual Solid:
Triangular Prism
(values below based on unit-edge-length Triangular Prism)
Short Edge (6):
4/3
≈1.3333333333333333333
Long Edge (3):
2
[3]-Vertex Radius (2):
2/3
≈0.66666666666666666667
[4]-Vertex Radius (3):
2*sqrt(3)/3
≈1.1547005383792515290
Edge-scribed Radius:
sqrt(3)/3
≈0.57735026918962576451
Inscribed Radius:
2*sqrt(21)/21
≈0.43643578047198476253
Volume:
4*sqrt(3)/9
≈0.769800358919501019346