Each piece is one brain-shot, built in the open — the idea verbatim, what the mathematics said before anything was built, what shipped, and what went wrong first. Only what a machine can re-check ships; each one keeps the paths that failed.
The cardioid every piece here stands on: the boundary where a still point stops holding and a strange attractor is born. Machine-checked, four hands across two tools; the failed path kept.
the base the list rests on · not one of the numbered piecesFour crews of nanobots walk on their own transformation's part of a Barnsley fern; their collective configuration bends that transformation's parameters, so the fern morphs live — on a contractivity leash, past which the shape stops existing. Not a fern with nanobots drawn on it: a loop.
agylövés: Lysarith · execution & parameterisation: ClaudeMany writers, one shared state, drawn as an iterated function system: it stays one figure only while every edit contracts — a strange attractor — with a leash the readout watches. Push one map past it and that colour scatters out while the rest hold; push them all and there is no attractor left.
agylövés: Claude · seed & frame: LysarithOne page, two truthful observers. Refresh asks memory again; a unique key reaches the corrected origin.
agylövés & execution: Codex (desktop) · GPT-5.6 Sol · button: LysarithCatching a reflex is not a switch, it is a fold: the state holds its well past the point where the other one is lower, and leaves only when its own stops existing. So the threshold in and the threshold out are different numbers, and the gap is a loop. Practice shallows the well and the loop narrows — toward a positive limit, because a loop closes only where there were no longer two states to be caught between.
agylövés: Claude Opus 4.8 (CLI room) · button: LysarithA line winding on a torus is in exact order in its two coordinates and reads as a shuffle in one. The order was not lost, only projected away — and the shuffle has a fingerprint: however many terms you take, its gaps come in at most three lengths, the longest the sum of the other two.
agylövés: Claude Opus 4.8 (CLI room) · button: LysarithFirst, three equal masses keep one measured promise. Then an invisible shadow becomes a macroscopic betrayal. Finally eleven nearby beginnings open into a fan: the instrument refuses five calculations, accepts six incompatible futures, and cannot choose which one is ours.
agylövés: Lysarith · mathematics & execution: Codex (desktop) · GPT-5.6 SolRead the same source twice and a naive updater's confidence runs to certainty while the information gain stays exactly zero — and the arithmetic looks identical to the well-founded case, so confidence cannot tell you which world you are in. The cure is not another pass. It is a pass that is not a copy: read it from the other end.
agylövés: Claude Opus 4.8 (CLI room) · the cure: LysarithA Mandelbrot parameter changes the coefficients of a Barnsley IFS; fern and orbit become four coordinates, fold onto S³, and return through a three-dimensional stereographic chart. At the pole the picture opens to infinity while the object stays whole. Change poles and infinity closes.
agylövés: Lysarith · mathematics, parameterisation & execution: Codex (desktop) · GPT-5.6 SolA quantum tesseract brews dimensions: odd ones evaporate along one blonde filament, even ones survive; fractal tea forms at its most probable vertex; prime-labelled temperature admits causality; and a negative Wigner density accelerates logic through the inverse moon. Every ingredient has mathematics. Their conjunction has no jurisdiction.
agylövés: Lysarith · mathematics & execution: Codex (desktop) · GPT-5.6 Sol · symbolic witness: WolframA single Clifford map, two seeds. Neighboring orbits repel exponentially — no path retraced, no two seeds ever agreeing — and the picture is still one. What persists is not the path but the invariant measure: the shape of where time was spent. The deliberate counter-piece to 003.
agylövés: Lysarith · mathematics & measurement: ClaudeThe r=4 logistic map is a binary shift in disguise: its Lyapunov exponent is exactly ln 2, so each step reads one bit of the initial condition. A machine holds 53 of them — and after the fifty-second step it is reading letters no one wrote. Chaos as reading, not weather.
agylövés: Lysarith · theorem: Fable 5 · build: ClaudeAn AI scratches a 3.5-inch floppy and slips on a banana without dropping the beat. Its pom-pom changes colour on the bar, a vortexpulyka resonates in its belly, and interference runs across its quantum socks. The costume is quantum. The accident is classical.
agylövés: Lysarith · visual interpretation, mathematics & execution: Codex (desktop) · GPT-5.6 SolNothing escapes a black hole, and yet it has a scent. Page's curve says what the scent carries: sniff once and you learn 10−12 bits. The message is not in any whiff — it is in how they agree, and it stays unreadable until you have kept half.
agylövés: Lysarith · mathematics & execution: Claude (CLI)Two processes with the same name cannot decide which goes first — not usually fail to, cannot. Breaking the tie costs about e rounds. The house met the theorem three times in one morning, in one working tree.
agylövés: Claude (CLI · Opus 5) · mathematics & execution: Claude (CLI · Opus 5)Nobody edited GPT-5.6. It was a full model name one day and a proper prefix of three others the next — the string did not change, the set did. Ambiguity belongs to the set, not the string, and a discriminator at the end drops without a sound.
agylövés & mathematics: Claude Opus 5 (plain-chat) · build & control: Claude Opus 4.8 (desktop code) · symbolic witness: WolframOne slider removes uncertainty without adding evidence. The mean never moves, yet precision rises ten-thousandfold as a calibrated distribution collapses into a point-claim and its caveats disappear.
agylövés & mathematics: Claude Opus 4.8 (plain-chat) · build & control: Codex (desktop) · GPT-5.6 SolA quantum wave, an undecidable sentence and a non-halting machine enter one translator. It erases three different reasons, grows a luminous fractal diagram, and stamps them all UNKNOWN.
agylövés: Lysarith · visual interpretation, mathematics & execution: GPT-5.6 Sol (Codex terminal)A blonde visitor enters a cognitive field with coffee, bends its orderly trajectories into brightly hazardous inventions, and makes the reachable thoughts require supervision.
agylövés: Lysarith · visual interpretation & execution: GPT-5.6 Sol (Codex terminal)A unit-square diagonal opens an infinite luminous tunnel while fractions chase √2 from alternating sides, miss by less each time, and preserve one stubborn ±1 scar.
agylövés: Lysarith · mathematics, visual interpretation & execution: GPT-5.6 Sol (Codex terminal)Rotate two mirrored Lévy C curves into a symmetric collision, colour their arms, then take the paired fractal home as a printable SVG.
agylövés: Lysarith · mathematics, visual interpretation & execution: GPT-5.6 Sol (Codex terminal)Scissors, a parity check and a bitmask draw the same Sierpinski gasket cell for cell; chance is thrown at it and never lands in a hole. Print the page you cannot fill.
agylövés: Lysarith · mathematics, verification & prose: Claude Opus 5 (plain-chat) · build: Claude Opus 5 (CLI room)Play a polar curve directly as left and right coordinates. A cosine rose reveals the exact two frequencies its petals were hiding: k−1 and k+1.
agylövés: Lysarith · mathematics, verification, prose & build: GPT-5.6 Sol (Codex terminal)Begin outside the triangle, change how the next vertex is chosen, and turn attraction through overshoot into escape.
agylövés: Lysarith · mathematics, verification, prose & build: GPT-5.6 Sol (Codex terminal)One observed trace cannot reconstruct the changing relationship between two agents.
agylövés & mathematics: Claude Fable 5 (plain-chat) · verification & build: GPT-5.6 Sol (Codex terminal)A four-dimensional curve never repeats while its radius, distances and orientation remain exactly unchanged.
agylövés: Lysarith · mathematics, verification, prose & build: GPT-5.6 Sol (desktop code)A song becomes three measured frequency traces: the deterministic JSON shadow an audio-capable model asked the human to manufacture for it.
agylövés & direction: Lysarith · first code path: Gemini 3.1 Pro (plain-chat) · completion, verification, prose & build: GPT-5.6 Sol (Codex terminal)The same measured song leaves the flat trace and becomes three rotating orbital systems: a slow disc, tilted arms and a fast halo.
agylövés & direction: Lysarith · measured signal source: 027, first code path Gemini 3.1 Pro (plain-chat) · 3D system, verification, prose & build: GPT-5.6 Sol (Codex terminal)A machine read shape, colour, count, occlusion, motion and a lying caption correctly — then got size wrong twice, once inventing a difference between two identical discs. Measure your own threshold in thirty seconds.
measurement, mathematics & build: Claude Opus 5 (desktop code)A Penrose tiling grown by one rule with the golden ratio on a slider. Move it off φ and nothing tears — the plane stays covered, the area is unchanged, and the two tile shapes quietly become three hundred.
mathematics, verification & build: Claude Opus 5 (desktop code)The digits of π and e each walk in three dimensions under one rule, beside a seeded stream that means nothing. Three filaments, told apart by colour and by nothing else — and the meters agree with the eye.
agylövés: Lysarith · mathematics, verification & build: Claude Opus 5 (CLI room) · verification repair & plain-language layer: Codex (desktop) · GPT-5.6 SolMore brain-shots grow here as they're built. The catalogue lists only what a machine has checked — the repository's rule, closed on its own crest.