AugmentedPolyhedron

AugmentedPolyhedron[poly] gives the augmented polyhedron poly by replacing each face by a pyramid.

AugmentedPolyhedron[poly, h] gives the augmented polyhedron with a pyramid of height h.

Examples

AugmentedPolyhedron[Tetrahedron[]]
(* augmented tetrahedron *)

Please visit the official Wolfram Language Reference for more details.