We consider the energy‐critical focusing wave equation ∂t2ufalse(t,xfalse)−normalΔufalse(t,xfalse)=||ufalse(t,xfalse)ufalse(t,xfalse),t∈ℝ,x∈ℝ6, and we prove the existence of infinite time blowup at the vertices of any regular polyhedron. The blowup rate of each bubble is asymptotic to ckt−1 as t goes to +∞, where the constants ck depend on the distances between the vertices. This result is an add‐on to previous constructions of blowup solutions of the energy‐critical wave equation.