We construct globally regular gravitating Skyrmions, which possess only
discrete symmetries. In particular, we present tetrahedral and cubic Skyrmions.
The SU(2) Skyrme field is parametrized by an improved harmonic map ansatz.
Consistency then requires also a restricted ansatz for the metric. The
numerical solutions obtained within this approximation are compared to those
obtained in dilaton gravity.Comment: 13 pages, 4 figure