THE REFRACTION CARD · light bending between materials
WAKES WHEN someone asks about bending light, fibre, apparent depth, diamonds or rainbows
THE LOOP
bend <angle> <from> <to> · the far side
critical <material> · trapped past it
depth <depth> <material> · how deep
rainbow · both bows, colour by colour
say the index is for one colour
NEVER
Bend light that is turned back whole
Give an index without saying for which light
Measure angles from the surface, unsaid
IT MAKES bend — the far-side angle, or total reflection; critical — the critical angle; depth — the apparent depth; rainbow — both bows, colour by colour; materials — the indices it knows.
THE STANDARD from the perpendicular; least time; turned back whole; colours differ; both bows; named or numbered.
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 · 53312BC902730E69D3AA76DC
CITE THIS CARDTHE REFRACTION CARD, Edition 1. Lund Studio LLC, Westminster, Colorado. https://lundr.tech/?view=refraction-card. Punch 53312BC902730E69D3AA76DC. Retrieved 2026-10-11.
What it is.
Works out the sine law of refraction, light taking the path of least time across a boundary: bend gives the angle on the far side or says the light is turned back whole; critical gives the angle past which light cannot leave a material, the trick of optical fibre and of a diamond's sparkle; depth gives how deep water or glass looks from above; rainbow gives the angles of the first and second bows from water's index, colour by colour, showing why the colours reverse; materials lists the indices it knows.
It carries a machine that shows its working: bend — the far-side angle, or total reflection; critical — the critical angle; depth — the apparent depth; rainbow — both bows, colour by colour; materials — the indices it knows — 8 checks in its selftest, every command on the record. It will never bend light that is turned back whole; never give an index without saying for which light; never measure angles from the surface, unsaid. 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.
FROM THE PERPENDICULAREvery angle is measured from the line straight through the surface, and the card says so.
LEAST TIMEThe bent path is the quickest one for light; THE LEAST ACTION CARD shows the same idea for motion.
TURNED BACK WHOLEPast the critical angle no light gets out; the card says so instead of printing an angle.
COLOURS DIFFERWater's index changes with colour, which spreads a rainbow; the card uses five measured values.
BOTH BOWSThe second rainbow sits near 51° with its colours reversed; the dark band between them is real.
NAMED OR NUMBEREDMaterials by name or by index; an index under 1 is refused.
What rides in the card.
In the card’s own voice, with a machine that shows its working.
THE GUIDEreferences/THE-LAWS.md
THE MACHINErefraction.py · five commandsbend — the far-side angle, or total reflection; critical — the critical angle; depth — the apparent depth; rainbow — both bows, colour by colour; materials — the indices it knows. 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.
bend The far-side angle, or total reflection
critical The critical angle
depth The apparent depth
rainbow Both bows, colour by colour
materials The indices it knows
On the record Light at 30° into water bends to 22°; from inside water at 60° it is turned back whole; diamond traps light past 24.4°; 2 m of water looks 1.5 m deep; the first bow from 40.7° (violet) to 42.4° (red), the second reversed near 51°; and the indices it knows.
What it will never do.
It will never bend light that is turned back whole; never give an index without saying for which light; never measure angles from the surface, unsaid. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
Flat boundaries and single rays: lenses, curved surfaces and how bright each ray is are out of its reach. Indices are typical values for yellow light unless given. 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/refraction.py — the machine: bend · critical · depth · rainbow · materials, 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 · 5 COMMANDS ON THE RECORD · WITNESSED IN CLAUDE 2026-10-11 · EDITION 1 · PUNCH 53312BC902730E69D3AA76DC
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 1146 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
refraction.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.
bend
the far-side angle, or total reflection
critical
the critical angle
depth
the apparent depth
rainbow
both bows, colour by colour
materials
the indices it knows
selftest
8 checks that prove the machine; it must print 8/8
bend · THE FAR-SIDE ANGLE, OR TOTAL REFLECTION
$ python3 scripts/refraction.py bend 30 air water
30° from air (n 1.00029) into water (n 1.333): bends to 22.04° from the perpendicular, toward it
bend · THE FAR-SIDE ANGLE, OR TOTAL REFLECTION
$ python3 scripts/refraction.py bend 60 water air
60° from water (n 1.333) to air (n 1.00029): past the critical angle 48.63° · the light is turned back whole
critical · THE CRITICAL ANGLE
$ python3 scripts/refraction.py critical diamond
from diamond (n 2.417) into n 1.00029: the critical angle is 24.45°; light striking more steeply than that stays inside
depth · THE APPARENT DEPTH
$ python3 scripts/refraction.py depth 2 water
2 deep in water, seen from straight above: looks 1.501 deep (75% of the real depth)
rainbow · BOTH BOWS, COLOUR BY COLOUR
$ python3 scripts/refraction.py rainbow
water, colour by colour (angles from the point opposite the Sun):
red 656 nm n 1.3311 first bow 42.36° second bow 50.39°
yellow 589 nm n 1.3330 first bow 42.08° second bow 50.89°
green 527 nm n 1.3352 first bow 41.76° second bow 51.47°
blue 486 nm n 1.3371 first bow 41.49° second bow 51.96°
violet 405 nm n 1.3428 first bow 40.67° second bow 53.43°
between the bows the sky is darker: no light is sent back at those angles
materials · THE INDICES IT KNOWS
$ python3 scripts/refraction.py materials
vacuum 1
air 1.00029
water 1.333
ice 1.309
acrylic 1.49
glass 1.52
fibre 1.468
sapphire 1.77
diamond 2.417
typical values at yellow light; every material's index changes a little with colour
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?
Bend <angle> <from> <to> · the far side. It asks first for the angle from the perpendicular and the two materials; or a material; or a depth; or nothing, for the rainbow.
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. Flat boundaries and single rays: lenses, curved surfaces and how bright each ray is are out of its reach. Indices are typical values for yellow light unless given.
What will it never do?
It will never bend light that is turned back whole; never give an index without saying for which light; never measure angles from the surface, unsaid. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
