Johnson Solids (Page 4)
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(J66)
Augmented Truncated Cube
Vertices:
28 ({8 + 4 * 2}[3] + {8 + 4}[4])
Faces:
22 ({4 * 3} equilateral triangles + {4 + 1} squares
+ {4 + 1} regular octagons)
Edges:
48
Symmetry:
4-fold Pyramidal (C4v)
(values below based on edge length = 1)
Volume:
(24+16*sqrt(2))/3
≈15.542472332656506927