Self-organization during the self-assembly of a series of functionalized bispyridyl organic donors with complementary di-Pt(II) acceptors into supramolecular rhomboids and rectangles is explored. The connectivity and location of functional groups on the organic donors ensures that they do not interfere sterically or electronically with their respective binding sites. Carefully controlled reaction conditions are employed so that the only means of self-organization during self-assembly is through "second-order" effects arising from the distal functional groups themselves. With the selection of functionalized systems studied, the extent of second-order self-organization varies from essentially zero to quite pronounced.