K₄ family mesh

The shape of a family that doesn't leak to advertisers.

4 vertices · 6 edges · no central hub

Most platforms force a star: the platform sits at the center, every relationship passes through it.

P31 is K₄: every member touches every other member directly. Six edges. Zero hubs.

What this means in practice

Math, briefly

K4 is the complete graph on 4 vertices. Edges = C(4,2) = 6. Symmetric, no privileged node, every relationship one hop away.

It is also the tetrahedron, the simplest 3D Platonic solid — geometry that exists whether or not we name it.