Johnson Solids (Page 1)

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(J13) Pentagonal Dipyramid
regular faces
Vertices:  7  (5[4] + 2[5])
Faces:10  (10 equilateral triangles)
Edges:15
Symmetry:  5-fold Prismatic  (D5h)
(values below based on edge length = 1)
Inscribed Radius:  (5*sqrt(3)+sqrt(15))/30    ≈0.41777457946839344509
Volume:(5+sqrt(5))/12    ≈0.60300566479164914137