Energies of four-quark systems have been extracted in a static quenche
d SU(2) lattice Monte Carlo calculation for six different geometries,
both planar and non-planar, with beta = 2.4 and lattice size 16(3) x 3
2. In all cases, it is found that the binding energy is greatly enhanc
ed when the four quarks can be partitioned in two ways with comparable
energies. Also it is shown that the energies of the four-quark states
cannot be understood simply in terms of two-quark potentials.