THE 4.

Four terms make the engine of the whole tower: +1, the gap, −1, and recurse. From a single gap, draw a pair either side of it; then let each become a gap and draw again. Eleven draws and you have 2048 leaves — the floor. This is STOICHEION's T004, drawn.

The generator, honest. drawPair(+1, gap, −1, recurse) is a real STOICHEION axiom — T004, "the universal function." Drawn here as the recursion it names: each gap draws +1 and −1, then recurses, so the leaf count doubles every level — 1 → 2 → 4 → 8 → … → 2048. That doubling is the tower: the ±1 are the hypercube's coordinates and the Merkle pairs, the gap is THE GAP (T083, √2), recurse is the fold. Four terms; every other rung falls out of them.

STOICHEION · T004 · D0 FOUNDATION: “drawPair(+1, gap, −1, recurse). The universal function.”