Oneness · vertices. Twoness — edges. Threeness △ triangles. And fourness ▲ the tetrahedron — four is one plus three, a triangle plus an apex. Every simplex carries a three-valued Troolean truth (vfalse / ish / vtrue), and relaxation labeling settles them into agreement across dimensions through the boundary coupling. Click any piece — a dot, an edge, a face — to anchor a truth and watch it climb the ladder.
boundary operator ∂ and the Hodge Laplacian, the honest generalization of graph diffusion to shapes. The labels are
Troolean — three-valued logic (Łukasiewicz/Kleene), real. So threeness (triangles) genuinely interacts with twoness (edges) and
oneness (vertices), and the tetrahedron lifts the ladder to four. The theology is Manny's; the topology is the mathematics'.