The full spatial distribution of the color fields of two and four static qu
arks is measured in lattice SU(2) field theory at separations up to 1 fm at
beta = 2.4. The four-quark case is equivalent to a q (q) over bar q (q) ov
er bar system in SU(2) and is relevant to meson-meson interactions. By subt
racting two-body flux tubes from the four-quark distribution we isolate the
flux contribution connected with the four-body binding energy. This contri
bution is further studied using a model for the binding energies. Lattice s
um rules for two and four quarks are used to verify the results. [S0556-282
1(98)02223-1].