The Same Shape — K₄ at four orders of magnitude
→ the pulse ↑ demos
K₄ · 4 vertices · 6 edges · 0 hubs
01

Family mesh

scale: human · meters

Will, S.J., W.J., Brenda. Every member touches every other directly. No platform in the middle.

02

Tetrahedron

scale: geometric · Plato's element of fire

The minimum 3D solid. Maximally rigid. Every face a triangle. The cage that doesn't bend.

03

SIC-POVM (d=2)

scale: quantum · Bloch sphere

Four pure states forming a regular tetrahedron in the Bloch sphere. The optimal symmetric measurement basis. d²=4 outcomes for d=2.

04

Posner cluster

scale: chemical · ³¹P spins · ångströms

Calcium phosphate Ca₉(PO₄)₆ — phosphorus-31 nuclei in tetrahedral arrangement. Matthew Fisher's quantum-cognition substrate. The phosphorus we're for.

drag any panel · they rotate together because they ARE the same