Johnson Solids (Page 1)

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(J1) Square Pyramid
Vertices:  5  (4[3] + 1[4])
Faces:5  (4 equilateral triangles + 1 square)
Edges:8
Symmetry:  4-fold Pyramidal  (C4v)
(values below based on edge length = 1)
Volume:sqrt(2)/6    ≈0.23570226039551584147