Simplest Canonical Polyhedra of Each Symmetry Type
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(F: faces)
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Simplest Canonical Polyhedron with D3h Symmetry
(Triangular Dipyramid)
(1 of 2)
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:
Simplest D3h (2 of 2)
(values below based on edge-scribed radius = 1)
Short Edge (6):
4*sqrt(3)/3
≈2.3094010767585030580
Long Edge (3):
2*sqrt(3)
≈3.4641016151377545871
[3]-Vertex Radius (2):
2*sqrt(3)/3
≈1.1547005383792515290
[4]-Vertex Radius (3):
2
Edge-scribed Radius:
1
Inscribed Radius:
2*sqrt(7)/7
≈0.75592894601845445443
Volume:
4 [EXACT]