Simplest Canonical Polyhedra of Each Symmetry Type
(box: x-ray)
(F: faces)
(slider: perspective)
(image: L=rotate R=zoom)
(M: metrics)
Please use a browser that supports "canvas"
Simplest Canonical Polyhedron with D3v Symmetry
(2 of 2)
Vertices:
12 (6[3] + 6[3])
Faces:
8 (2 equilateral triangles + 6 mirror-symmetric pentagons)
Edges:
18 (6 short + 6 medium + 6 long)
Symmetry:
3-fold Antiprismatic (D3v)
Dual Solid:
Simplest D3v (1 of 2)
(values below based on edge-scribed radius = 1)
Short Edge (6):
2−sqrt(2)
≈0.58578643762690495120
Medium Edge (6):
1
Long Edge (6):
sqrt(2)
≈1.4142135623730950488
Edge-scribed Radius:
1
Volume:
(7+sqrt(2))/3
≈2.8047378541243650163