  We construct sphaleron solutions in Weinberg-Salam theory, which possess only
discrete symmetries. Related to rational maps of degree N, these sphalerons
carry baryon number Q_B=N/2. The energy density of these sphalerons reflects
their discrete symmetries. We present an N=3 sphaleron with tetrahedral energy
density, an N=4 sphaleron with cubic energy density, and an N=5 sphaleron with
octahedral energy density.
