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.
