Johnson Solids (Page 1)

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(J11) Gyroelongated Pentagonal Pyramid
Vertices:  11  (5[4] + {5 + 1}[5])
Faces:16  ({5 * 3} equilateral triangles + 1 regular pentagon)
Edges:25
Symmetry:  5-fold Pyramidal  (C5v)
(values below based on edge length = 1)
Volume:(25+9*sqrt(5))/24    ≈1.8801921582290878028