Napkin Proofs Watch on YouTube ↗

Napkin Proofs

Proofs too big for the margin, small enough for a napkin.

Forty-five seconds of animated mathematics. A surprising result, drawn with exact geometry, and checked against the source before it airs.

what this is

Not stock footage over a robot voice.

Every other automated shorts channel glues clip-art to text-to-speech. Napkin Proofs draws the actual mathematics: real geometry, moving exactly the way the theorem says it must. The moat isn't the tooling. It's that the math is right.

Exact

Rendered from real construction, not clip-art. When a circle rolls, it rolls; when angles are equal, they're provably equal on screen.

Checked

Every topic is verified against a published source before it airs. A claim that can't be sourced never gets made.

Surprising

Results that make you look twice: a table that always finds level ground, three triangles hiding one. The good stuff, in under a minute.

from the napkin

A few proofs worth a look.

Each one is a self-contained sketch: a claim, a construction, and the moment it clicks.

Napoleon's Theorem

Cap any triangle with equilaterals. Their centers always form a perfect one.

The Wobbly Table

A square table on bumpy ground. Rotate it, and level footing is guaranteed.

Morley's Trinity

Trisect every angle of any triangle. The trisectors meet in an equilateral heart.

Ford Circles

One tangent circle per fraction. They kiss exactly when the arithmetic says so.

The Party Problem

Six people, any pairing. Three of them are always all friends, or all strangers.

and counting

A new one, most nights.

Subscribe and the next proof finds you.

Subscribe ↗

follow the proofs

Wherever you scroll.