Johnson Solids (Page 1)

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(J8) Elongated Square Pyramid
Vertices:  9  (4[3] + {4 + 1}[4])
Faces:9  (4 equilateral triangles + {4 + 1} squares)
Edges:16
Symmetry:  4-fold Pyramidal  (C4v)
(values below based on edge length = 1)
Volume:(6+sqrt(2))/6    ≈1.23570226039551584147