Johnson Solids (Page 2)

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(J35) Elongated Triangular Orthobicupola
Vertices:  18  ({12 + 6}[4])
Faces:20  ({6 + 2} equilateral triangles + {6 + 3 * 2} squares)
Edges:36
Symmetry:  3-fold Prismatic  (D3h)
(values below based on edge length = 1)
Volume:(10*sqrt(2)+9*sqrt(3))/6    ≈4.95509881530847435496