The augmented truncated dodecahedron is Johnson solid constructed by affixing a pentagonal cupola to one of the decagonal faces of a truncated dodecahedron such that the cupola's square faces are adjacent to the triangular faces of the truncated dodecahedron. Since the affixed shape is a cupola and not a pyramid, this solid does not represent a true augmentation. The solid is illustrated above, together with its skeleton and net.
Augmented Truncated Dodecahedron
See also
Augmentation, Augmented Polyhedron, Truncated DodecahedronExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Augmented Truncated Dodecahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AugmentedTruncatedDodecahedron.html