Simplest Canonical Polyhedra of Each Symmetry Type
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Simplest Canonical Polyhedron with D6h Symmetry
(Hexagonal Dipyramid)
(1 of 2)
Vertices:
8 (6[4] + 2[6])
Faces:
12 (isosceles triangles)
Edges:
18 (6 short + 12 long)
Symmetry:
6-fold Prismatic (D6h)
Dihedral Angle:
acos(−3/5)
≈126.869897646 degrees
Dual Solid:
Simplest D6h (2 of 2)
(values below based on edge-scribed radius = 1)
Short Edge (6):
2*sqrt(3)/3
≈1.1547005383792515290
Long Edge (12):
4*sqrt(3)/3
≈2.3094010767585030580
[4]-Vertex Radius (6):
2*sqrt(3)/3
≈1.1547005383792515290
[6]-Vertex Radius (2):
2
Edge-scribed Radius:
1
Inscribed Radius:
2*sqrt(5)/5
≈0.89442719099991587856
Volume:
8*sqrt(3)/3
≈4.6188021535170061161