Johnson Solids (Page 1)
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(F: faces)
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(J10)
Gyroelongated Square Pyramid
Vertices:
9 ({4 + 1}[4] + 4[5])
Faces:
13 ({4 * 3} equilateral triangles + 1 square)
Edges:
20
Symmetry:
4-fold Pyramidal (C4v)
(values below based on edge length = 1)
Volume:
(sqrt(2)+2*sqrt(4+3*sqrt(2)))/6
≈1.1927022422322325591