Johnson Solids (Page 3)

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(J59) Parabiaugmented Dodecahedron
Vertices:  22  (10[3] + 10[4] + 2[5])
Faces:20  (10 equilateral triangles + 10 regular pentagons)
Edges:40
Symmetry:  5-fold Antiprismatic  (D5v)
(values below based on edge length = 1)
Volume:(25+11*sqrt(5))/6    ≈8.2661246254162811101