Johnson Solids (Page 4)
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(J64)
Augmented Tridiminished Icosahedron
Vertices:
10 ({3 + 1}[3] + {3 * 2}[4])
Faces:
10 ({3 * 2 + 1} equilateral triangles + 3 regular pentagons)
Edges:
18
Symmetry:
3-fold Pyramidal (C3v)
(values below based on edge length = 1)
Volume:
(15+2*sqrt(2)+7*sqrt(5))/24
≈1.3950376236351965822