Johnson Solids (Page 1)

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(J2) Pentagonal Pyramid
Vertices:  6  (5[3] + 1[5])
Faces:6  (5 equilateral triangles + 1 regular pentagon)
Edges:10
Symmetry:  5-fold Pyramidal  (C5v)
(values below based on edge length = 1)
Volume:(5+sqrt(5))/24    ≈0.30150283239582457068