A person’s relational geometry is the specific shape of their place among others: the relationships they hold, the functions they carry, and the standing those confer. It is what “belonging” looks like when you draw it — not a status score, but a structure of connections and roles.
Why it can organize a society
The proposal at the center of the Reorganization is that the purpose of the social order is to maximize each participant’s viable relational geometry — to let each person occupy a legitimate, differentiated, viable place in the whole, and to arrange money, resources, power, and work in service of that.
Why “viable” matters
Unqualified, “maximize each person’s geometry” collapses into individualism. The qualifier holds it together: a viable geometry has to coexist with everyone else’s and with material reality. So the real problem is the viable, differentiated participation of every member, subject to the viability of the whole — and no one’s geometry may be maximized by rendering another’s illegitimate.
What “maximizing” it means
Made concrete, the aim is not any single metric (expression, output, comfort, talent) but maximum coherent participation: a participant able to operate their architecture coherently — available, competent, supported, placed, differentiated, reciprocal, and adaptable — without degrading the ecology around them. See What “Maximizing” Actually Means.
Preserve, don’t maximize
Even that is not the final form. On its own, “maximize relational geometry” is dangerously easy to weaponize — a captured version of it is monopoly geometry. The safer aim is not to maximize anything but to preserve plural, contestable, non-captive geometry: keep each participant’s standing and viable participation while distributing power so no single actor controls all the conditions of participation. See A Perfectly Optimized Cage.