phanerozoic

/

threshold-computers

like 1

neural_tile: a self-assembling tile computer in the abstract tile assembly model. A tile binds at a site when the summed strength of its matching glues reaches tau, which is the Heaviside gate H(strength.match - tau), so growth is governed by threshold neurons. Verified: the binding decision equals the gate; a general 2-input rule-tile set grows value(x,y)=f(W,S) for f in XOR/AND/OR (529 tiles each, checked against the recurrence, XOR = Sierpinski/Rule 90); a binary counter grows one integer per row (8-bit, 255 rows, row y encodes y) with carry by cooperative binding; both directed (deterministic). Turing-universal at tau=2 (Winfree 1998). Ships variants/neural_tile.safetensors (glue tables + binding-gate weights); eval_all skips it; README section and counts updated (9 standalone machines, 28-file family).