Simplest Canonical Polyhedra of Each Symmetry Type
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Simplest Canonical Polyhedron with C3v Symmetry
(1 of 2)
Vertices:
7 (1[3] + 3[3] + 3[4])
Faces:
7 (1 equilateral triangle + 3 isosceles triangles
+ 3 isosceles trapezoids)
Edges:
12 (4 different lengths)
Symmetry:
3-fold Pyramidal (C3v)
Dual Solid:
Simplest C3v (1 of 2) (itself)
(values below based on edge-scribed radius = 1)
Edge 1 (3):
2*sqrt(2)/3
≈0.94280904158206336587
Edge 2 (3):
6*sqrt(2)/5
≈1.6970562748477140586
Edge 3 (3):
4*sqrt(2)/3
≈1.8856180831641267317
Edge 4 (3):
2*sqrt(2)
≈2.8284271247461900976
Edge-scribed Radius:
1
Volume:
1256/405
≈3.1012345679012345679