Johnson Solids (Page 4)

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(J61) Triaugmented Dodecahedron
Vertices:  23  ({3 + 1 * 2}[3] + {6 * 2 + 3}[4] + 3[5])
Faces:24  ({6 * 2 + 3} equilateral triangles + {3 * 3} regular pentagons)
Edges:45
Symmetry:  3-fold Pyramidal  (C3v)
(values below based on edge length = 1)
Volume:(35+15*sqrt(5))/8    ≈8.5676274578121056808