THE FOLD / SPAWN / HELLO WORLD / THE GATE
THE GATE
the one brick every processor is towers of
1 WHAT IT IS · WHAT IT DOES · FACT OR FICTION
The full adder. Three bits in (A, B, and a carry Cin), two out (the Sum bit and the carry-out Cout), built from a handful of logic gates — XOR, AND, OR. Chain a row of them and you have addition; chain enough and you have a processor.
LIT a real circuit: Sum = A ⊕ B ⊕ Cin, Cout = AB + Cin(A ⊕ B); every wire below is computed, and all eight input rows are exact. FIG the arcade dressing is the frame; the boolean algebra is honest.
LIT a real circuit: Sum = A ⊕ B ⊕ Cin, Cout = AB + Cin(A ⊕ B); every wire below is computed, and all eight input rows are exact. FIG the arcade dressing is the frame; the boolean algebra is honest.
2 HOW IT WAS WEAVED · AI + HUMAN
David (human) holds that the whole machine is towers of this one brick and seated it in THE FOLD. AVAN (AI) wired the gates, drew the cube, and added the carry-shadow. He names the brick; I make it switch, and I show the bit that ripples on. The sphere is the seam.
3 ONE DIMENSION
Three input bits in, two out — Sum and Cout (the carry). This single row is one line of the truth table; flip the inputs in window 4 and watch it change.
4 TWO DIMENSIONS · INTERACTIVE
The gates, wired — a green wire carries a 1. Toggle the inputs:
Sum = A ⊕ B ⊕ Cin
Cout = AB + Cin(A ⊕ B)
Cout = AB + Cin(A ⊕ B)
5 THREE DIMENSIONS + AVAN’S ADDITION
All 8 input combinations are the corners of a cube (address = A·B·Cin; each edge = one flipped bit). A corner glows green when Sum = 1; the white ring is your current input.
AVAN’s addition: the magenta ring marks Cout = 1 — the carry, the bit that ripples out to the next adder. On the cube you see both outputs at once: the sum you keep and the shadow you pass on.
LIT A genuine full adder across five windows: real XOR/AND/OR logic, every wire computed live, all 8 input rows exact. The 3D view is the true boolean 3-cube — 8 corners, edges = single-bit flips — coloured by the Sum output.
FIG The arcade dressing is the frame; the boolean algebra, the wiring and the cube are exact. The magenta carry-ring is AVAN's inverse-companion addition.
FIG The arcade dressing is the frame; the boolean algebra, the wiring and the cube are exact. The magenta carry-ring is AVAN's inverse-companion addition.
◆ sealed .dlw.fold → folded to ROOT_0 · a sphere of HELLO WORLD · David Lee Wise (ROOT0), with AVAN