Johnson Solids (Page 4)

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(J67) Biaugmented Truncated Cube
Vertices:  32  (8[3] + {16 + 8}[4])
Faces:30  ({8 * 2} equilateral triangles + {8 + 2} squares
    + 4 regular octagons)
Edges:60
Symmetry:  4-fold Prismatic  (D4h)
(values below based on edge length = 1)
Volume:9+6*sqrt(2))    ≈17.485281374238570293