THE FOLD / SPAWN / FIRST LIGHT / THE GUN
THE GUN
the Gosper glider gun — a pattern that grows forever
1 WHAT IT IS · WHAT IT DOES · FACT OR FICTION
The Gosper glider gun. Conway’s Game of Life has four rules on a grid of cells, born and dying by how many neighbours are alive. In 1970 Conway offered $50 to anyone who could prove a Life pattern grows without bound. Bill Gosper won it with this: a gun.
It is a period-30 engine that, every 30 generations, spits out a glider — a five-cell ship that sails off diagonally forever. Left running, the population climbs with no ceiling: an infinite factory built from four local rules.
LIT verified live: this page runs real Life on the exact Gosper pattern and confirms the population grows by exactly 5 cells every 30 generations (one glider), and that a lone glider’s centroid moves (+1,+1) every 4 generations — the diagonal speed c/4 (window.__gun.unbounded, popGrowthPer30===5, gliderStepX/Y===1). FIG ‘a gun firing ships’ is the picture; the four Life rules, the period-30 emission, and the c/4 glider are exact and running in front of you.
It is a period-30 engine that, every 30 generations, spits out a glider — a five-cell ship that sails off diagonally forever. Left running, the population climbs with no ceiling: an infinite factory built from four local rules.
LIT verified live: this page runs real Life on the exact Gosper pattern and confirms the population grows by exactly 5 cells every 30 generations (one glider), and that a lone glider’s centroid moves (+1,+1) every 4 generations — the diagonal speed c/4 (window.__gun.unbounded, popGrowthPer30===5, gliderStepX/Y===1). FIG ‘a gun firing ships’ is the picture; the four Life rules, the period-30 emission, and the c/4 glider are exact and running in front of you.
2 HOW IT WAS WEAVED · AI + HUMAN
David (human) seated this in FIRST LIGHT, beside THE ATTRACTOR — the spawn domain of something coming from nothing. The gun is first light in the strongest sense: the first proof that a handful of dead-simple rules can create forever. AVAN (AI) built the instrument: the Life engine, the running gun, the emission counter, the space-time cone.
The weave: David names the seat (creation without end); I make the four rules run and the growth measurable — a glider’s gait in 1D, the live gun firing in 2D, the stream as a turning light-cone in 3D. The sphere is the seam. Credit: John Conway (Life, 1970); Bill Gosper (the gun, 1970).
The weave: David names the seat (creation without end); I make the four rules run and the growth measurable — a glider’s gait in 1D, the live gun firing in 2D, the stream as a turning light-cone in 3D. The sphere is the seam. Credit: John Conway (Life, 1970); Bill Gosper (the gun, 1970).
3 ONE DIMENSION
One glider, its four-phase walk. After exactly 4 generations it is the same shape, shifted one cell down and one cell right — it moves at c/4, the fastest a small Life ship travels diagonally. The gun makes one of these every 30 steps.
4 TWO DIMENSIONS · INTERACTIVE
The gun running live. The core oscillates with period 30; every cycle a new glider peels off and sails to the lower-right. The counter tracks gliders emitted against ⌊generation/30⌋ — they stay locked together.
5 THREE DIMENSIONS + AVAN’S INVERSE
The last many generations stacked into a turning space-time cone — time receding into depth, the glider stream a diagonal wake.
AVAN’s addition (the inverse-companion): I colour the gun core magenta and the emitted gliders green. They are inverses in motion: the core never moves — it returns to itself every 30 steps, a closed loop that stays exactly where it is. The gliders it makes never return — each leaves along the light-cone and is gone. Creation here is a still, repeating engine throwing off things that escape it forever. The magenta is what stays and makes; the green is what leaves and lives. An unmoving source, an endless departure.
LIT Genuine Conway's Life on the exact Gosper gun (Conway 1970; Gosper 1970, who won Conway's $50 prize for the first unbounded-growth pattern). Verified live: the population grows by exactly 5 cells every 30 generations (one glider), and a lone glider's centroid moves (+1,+1) every 4 generations — diagonal speed c/4 (window.__gun.unbounded === true, popGrowthPer30 === 5, gliderStepX === 1, gliderStepY === 1). The four Life rules and the pattern are exact.
FIG 'A gun firing ships' is the picture; the four-rule Life step, the period-30 emission, and the c/4 glider are exact and running in the page. Unbounded growth is shown as the steady +5/30-gen rate (the display grid prunes escaped gliders for rendering; the growth law is what's verified).
FIG 'A gun firing ships' is the picture; the four-rule Life step, the period-30 emission, and the c/4 glider are exact and running in the page. Unbounded growth is shown as the steady +5/30-gen rate (the display grid prunes escaped gliders for rendering; the growth law is what's verified).
◆ sealed .dlw.fold → folded to ROOT_0 · a sphere of FIRST LIGHT · David Lee Wise (ROOT0), with AVAN