  We introduce multi-soliton sets in the two-dimensional medium with the
second-harmonic-generating nonlinearity subject to spatial modulation in the
form of a triangle of singular peaks. Various families of symmetric and
asymmetric sets are constructed, and their stability is investigated. Stable
symmetric patterns may be built of 1, 4, or 7 individual solitons, while stable
asymmetric ones contain 1, 2, or 3 solitons. Symmetric and asymmetric patterns
may demonstrate mutual bistability. The shift of the asymmetric single-soliton
state from the central position is accurately predicted analytically. Vortex
rings composed of three solitons are produced too.
