THE FIBONACCI CARD · growth by adding the last two
WAKES WHEN someone spaces a design on the sequence, or asks about Fibonacci numbers and ratios
THE LOOP
seq <n> · the sequence
ratio <n> · fractions and the gap
nearest <x> · the rungs either side
ladder <file> · sizes on and off
move each size off it to its rung
NEVER
Round a ratio to a decimal and call it exact
Claim a size on the ladder that is not
Change a file it was asked only to read
IT MAKES seq — the first n; ratio — each ratio as a fraction, and its distance from the limit; nearest — the rungs either side, and its sum; ladder — sizes on the ladder, and off it.
THE STANDARD exact fractions; the limit, said plainly; one sum each; the ladder is the owner's; read, not rewritten; whole numbers.
PROOF SELFTEST 8/8 · witnessed in Claude 2026-10-11 · Edition 1.
THE SEAL 98 of 100 · LEGENDARY · WITNESSED · Trigger 5 · Machinery 5 · Law 5 · Portability 5 · Proof 5
IT CAN BE WRONG an AI reading a text file: it can be wrong and can invent a number, a rule, a name or a date; check what matters against your own records and the source; the risk is yours. THE-CLAUSES.md rides in the packet and is part of the licence.
THE PUNCH · SHA-256 OF SKILL.MD · 96F6B809737F185360F7E5F3
CITE THIS CARDTHE FIBONACCI CARD, Edition 1. Lund Studio LLC, Westminster, Colorado. https://lundr.tech/?view=fibonacci-sequence-card. Punch 96F6B809737F185360F7E5F3. Retrieved 2026-10-11.
What it is.
Works with the Fibonacci sequence, where each number is the sum of the two before: seq lists it; ratio sets each number over the one before as an exact fraction and gives how far it still is from its limit, (1 + √5)/2; nearest finds the Fibonacci numbers either side of any number and writes it as its one sum of non-neighbouring Fibonacci numbers; ladder reads a stylesheet or any text for its pixel sizes and says which already sit on the 8 · 13 · 21 · 34 · 55 · 89 ladder and which rung each other one is nearest.
It carries a machine that shows its working: seq — the first n; ratio — each ratio as a fraction, and its distance from the limit; nearest — the rungs either side, and its sum; ladder — sizes on the ladder, and off it — 8 checks in its selftest, every command on the record. It will never round a ratio to a decimal and call it exact; never claim a size on the ladder that is not; never change a file it was asked only to read. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
Six laws, written into the card.
They are in the card itself, so the AI follows them.
EXACT FRACTIONSA ratio is given as the fraction it is (89/55), with how far it still is from the limit, never as a rounded decimal.
THE LIMIT, SAID PLAINLY(1 + √5)/2, the number whose square is itself plus one; the ratios close on it from either side.
ONE SUM EACHEvery whole number is exactly one sum of non-neighbouring Fibonacci numbers; nearest gives it.
THE LADDER IS THE OWNER'S8 · 13 · 21 · 34 · 55 · 89 by default; --from and --to set another stretch of it.
READ, NOT REWRITTENladder reports each size on and off the ladder with its nearest rung; the owner makes the change.
WHOLE NUMBERSThe sequence and its sums are integers, worked without rounding.
What rides in the card.
In the card’s own voice, with a machine that shows its working.
THE GUIDEreferences/THE-LAWS.md
THE MACHINEfibonacci.py · four commandsseq — the first n; ratio — each ratio as a fraction, and its distance from the limit; nearest — the rungs either side, and its sum; ladder — sizes on the ladder, and off it. Every command prints its working and refuses a bad input; 8 checks in its selftest, every command on the record.
What it does once your AI has it.
seq The first n
ratio Each ratio as a fraction, and its distance from the limit
nearest The rungs either side, and its sum
ladder Sizes on the ladder, and off it
On the record The first fifteen; ten ratios as fractions closing on the limit; 100 written as 89 + 8 + 3; a stylesheet read: 13, 21, 34 and 55 on the ladder, 20 off it, nearest rung 21.
What it will never do.
It will never round a ratio to a decimal and call it exact; never claim a size on the ladder that is not; never change a file it was asked only to read. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
ladder reads pixel sizes written as numbers with px; sizes set in rem, em, percentages or variables are not counted. A size off the ladder may be there on purpose: the card reports, the designer decides. It is an AI reading a text file: it can be wrong, so check what matters against your own records and the source.
What’s in the buy.
CARD.md — the whole card: who it is, its laws, when it says no, what it carries · SKILL.md — the door your AI reads first · START-HERE.md — the first five minutes, for you
THE-LAWS.md — the guide in references/, in the card's own voice
scripts/fibonacci.py — the machine: seq · ratio · nearest · ladder, standard library only, selftest 8/8
WITNESS.md + SELFTEST.md — every command on the record, as it printed · MANIFEST.md, every file hashed · AUDIT.md, the twelve checks
MY-LEDGER.md — the card's memory, on your own machine · TIN.md · LICENSE-NOTE.md · THE-CLAUSES.md · HOSTS.md
card.svg + card-machine.svg + card.json · card.html, the card as one offline file · the doors for ChatGPT, Gemini, Cursor, Claude Code and MCP hosts (rules/, system/, mcp/)
PROOF · SELFTEST 8/8 · 4 COMMANDS ON THE RECORD · WITNESSED IN CLAUDE 2026-10-11 · EDITION 1 · PUNCH 96F6B809737F185360F7E5F3
ON EVERY DOOR · A CARD FOR YOUR AI, A FILE FOR YOUR COMPUTER
In Claude: turn on code execution under Settings › Capabilities, then Customize › Skills › + › Create skill, and upload the zip as it is — START-HERE.md in the box walks you through it, and tells you how to keep the ledger. In ChatGPT, Gemini and the rest: a Project, a GPT or a Gem with the card’s files attached and the short door in the box pasted as its instructions. The words run anywhere an AI reads Markdown; the machines run wherever the host runs Python. Witnessed in Claude only. The host marks →
Take it.
Nº 1123 PROPOSED — LAUNCHING SOON
Sold as is under the term printed. A card instructs an AI you operate; results depend on your model, your files and your judgement. Not medical, legal, tax or financial advice, never the person’s boss, and not a licence to practise. The terms →
One payment. The file is yours to keep and keeps working at its edition; new editions issued in the year after you buy reach you by email as replacement files. Tax is added at checkout where it applies. Nothing auto-renews.
A TERM, NOT A SUBSCRIPTION: NOTHING RENEWS ITSELF AND NOBODY IS CHARGED AGAIN. WHEN A TERM ENDS THE FILES STAY ON YOUR COMPUTER AND STAY READABLE — FREEZE, NOT LOSS.
THE MACHINE · IN THE OPEN · FROM THE WITNESSED RUN OF 2026-10-11
fibonacci.py, every command showing its working.
A small Python program, standard library only. Your AI runs it; you can too. Every block below is pasted from the card’s own WITNESS.md, as printed.
seq
the first n
ratio
each ratio as a fraction, and its distance from the limit
nearest
the rungs either side, and its sum
ladder
sizes on the ladder, and off it
selftest
8 checks that prove the machine; it must print 8/8
ratio · EACH RATIO AS A FRACTION, AND ITS DISTANCE FROM THE LIMIT
$ python3 scripts/fibonacci.py ratio 10
1 · 1/1 · off the limit by 6.18 × 10^-1
2 · 2/1 · off the limit by 3.82 × 10^-1
3 · 3/2 · off the limit by 1.18 × 10^-1
4 · 5/3 · off the limit by 4.86 × 10^-2
5 · 8/5 · off the limit by 1.80 × 10^-2
6 · 13/8 · off the limit by 6.97 × 10^-3
7 · 21/13 · off the limit by 2.65 × 10^-3
8 · 34/21 · off the limit by 1.01 × 10^-3
9 · 55/34 · off the limit by 3.87 × 10^-4
10 · 89/55 · off the limit by 1.48 × 10^-4
the limit is (1 + √5)/2, the number whose square is itself plus one
nearest · THE RUNGS EITHER SIDE, AND ITS SUM
$ python3 scripts/fibonacci.py nearest 100
100 sits between 89 and 144 · as non-neighbouring Fibonacci numbers: 89 + 8 + 3
ladder · SIZES ON THE LADDER, AND OFF IT
$ python3 scripts/fibonacci.py ladder site.css
the ladder: 8 · 13 · 21 · 34 · 55 · 89
ON 13px × 1
ON 21px × 1
ON 34px × 1
ON 55px × 1
OFF 20px × 1 · nearest rung 21
4 sizes on the ladder · 1 off it
THE NUMBERS, NAMES AND DATES IN THESE RUNS ARE THE STUDIO’S OWN EXAMPLES, INVENTED FOR THE RECORD; NO REAL COMPANY, PERSON OR PROPERTY IS NAMED.
QUESTIONS AT THE TABLE
Asked before the wire.
What does it need from me?
Seq <n> · the sequence. It asks first for a count, a number, or the stylesheet to read.
Does it send anything anywhere?
No. The machine is a standard-library Python program that runs on your own computer and sends nothing anywhere; the words run wherever an AI reads Markdown. No server, no account, no key.
What is on the record?
The self-test (8/8) and every command run on real example inputs, pasted into WITNESS.md as they printed; the punch on the face is the SHA-256 of SKILL.md, so a downloaded copy can be checked against this room.
Can it be wrong?
Yes — it is an AI reading a text file. ladder reads pixel sizes written as numbers with px; sizes set in rem, em, percentages or variables are not counted. A size off the ladder may be there on purpose: the card reports, the designer decides.
What will it never do?
It will never round a ratio to a decimal and call it exact; never claim a size on the ladder that is not; never change a file it was asked only to read. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
