Simplest Canonical Polyhedra of Each Symmetry Type

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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