Uniformly asymptotic formulae for edge-and-vertex diffraction in the t
ime-domain, involving elementary functions of time, traveltimes and GT
D amplitudes, are derived. Explicit expressions for diffraction at a p
yramid and a triangle are constructed. They can be applied to the nume
rical calculation of a field reflected and diffracted at 3-D objects w
ith sharp edges and to reflection from triangulated surfaces. The comp
utational cost is very low.