Augmented tetrahedron

The augmented tetrahedron is an isohedral deltahedron. It can be formed by augmenting every face of the regular tetrahedron with a pyramid, here another regular tetrahedron. It is also a non-convex variant of the triakis tetrahedron.

An interesting property of this polyhedron is that its convex hull is the exact uniform dual triakis tetrahedron.