Johnson Solids (Page 3)

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(J60) Metabiaugmented Dodecahedron
Vertices:  22  ({4 + 2 * 3}[3] + {4 * 2 + 2}[4] + 2[5])
Faces:20  ({4 * 2 + 2} equilateral triangles
    + {4 + 2 * 3} regular pentagons)
Edges:40
Symmetry:  2-fold Pyramidal  (C2v)
(values below based on edge length = 1)
Volume:(25+11*sqrt(5))/6    ≈8.2661246254162811101