The augmented truncated tetrahedron is Johnson solid 
constructed by affixing a triangular cupola to one of
the hexagonal faces of a truncated tetrahedron
such that the cupola's square faces are adjacent the triangular faces of the truncated
tetrahedron. 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.
