Johnson Solids (Page 1)

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(J15) Elongated Square Dipyramid
Vertices:  10  ({8 + 2}[4])
Faces:12  (8 equilateral triangles + 4 squares)
Edges:20
Symmetry:  4-fold Prismatic  (D4h)
(values below based on edge length = 1)
Volume:(3+sqrt(2))/3    ≈1.4714045207910316829