Johnson Solids (Page 1)
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(J4)
Square Cupola
Vertices:
12 (8[3] + 4[4])
Faces:
10 (4 equilateral triangles + {4 + 1} squares + 1 regular octagon)
Edges:
20
Symmetry:
4-fold Pyramidal (C4v)
(values below based on edge length = 1)
Volume:
(3+2*sqrt(2))/3
≈1.9428090415820633659