The Atlas

The Double Pendulum

Two rods, one hinge, and the end of prediction. Drag it, release it, and meet chaos: a system so sensitive that its twin, started a hair's width away, forgets it within seconds.

The Fourier Drawing Machine

Draw anything. Watch a chain of circles spinning on circles redraw your hand, and decide, with a slider, how many circles it may use to remember you.

The Tiling That Never Repeats

Two diamond shapes, one splitting rule, and a floor that can grow forever without ever repeating, with a live counter chasing the golden ratio to prove it.

The Interference Pool

Two pebbles, one pond. Drag them and watch the ripples agree and argue, with stripes of perfect silence that stand still while every wave races, and the geometry that predicts exactly where.

The Einstein

One thirteen-sided shape, found by a hobbyist with scissors, that tiles the whole plane forever and never repeats. Grow it yourself, and watch its rare mirrored hats chase the golden ratio's fourth power.

The Three Suns

The problem that broke Newton's mathematics and gave us chaos: three suns, real gravity, a miraculous figure-eight orbit, and suns you can pick up and throw.

The Impossible Ballroom

An infinite dance floor of identical seven-sided rooms (impossible on any flat floor) seen through Poincaré's window. Walk forever; the wall is a horizon you will never reach.

The Galton Board

Balls fall, coins flip, nobody aims, and the bell curve assembles itself, every time. Order made entirely out of accidents, with the exact mathematics drawn over the pile.

The Weather in a Bottle

Three little numbers feeding on each other, a butterfly drawn in ink, and the reason next month's forecast is fiction. Retype the printout, as Lorenz did in 1961, and time how long the two skies agree.

The Infinite Coastline

One equation, barely two letters long, and a shoreline you can sail into forever, every bay hiding smaller bays, none of them the same twice. Finite area, infinite coast: both true, and the area is still unknown to mathematics.

The Prime Sky

Scatter the counting numbers into a spiral and light only the indivisible ones, then watch highways appear in what should be lawless static. Hover any star and ask its name; follow Euler's forty-prime road.

The Singing Sand

Strike a note, and loose sand crawls to the places where the surface refuses to move, drawing, in silence, the shape of the sound itself. Blend two notes of one pitch and watch the figure bend.

The Book of Fates

Fifty-two thousand universes of three suns, computed live while you watch, each colored by which sun it throws away. The borders between fates are fractal, and you can click any universe to watch its story.

The Ghost in the Deck

Riffle a fresh deck and the old order isn't gone: it's braided, and a magician can still read it. Watch the ghost split and fade with every shuffle, and learn exactly why seven is the number, and why, after seven, you are holding an arrangement no one in history has ever held.

The Fastest Slide

A bead slides from here to there under gravity alone. The straight line is not the quickest path: a curve that dips below the finish is. Race Galileo's circle and the cycloid against any slide you draw, watch six beads from six heights arrive as one, and meet the challenge Bernoulli set in 1696 that Newton answered overnight, unsigned.

The Unfair Fair Game

Flip a fair coin a thousand times and keep score. You would expect the lead to change hands often. It almost never does: one side spends most of the game ahead, and the mathematics says that lopsided outcome is the most likely one. Random walks, the arcsine law, and why streaks are what fairness produces.

π by Accident

Drop needles on a floor of parallel boards and count how many cross a crack. Nothing about the experiment is round, and yet π falls out of it, slowly, from nothing but chance. The proof is drawn as a picture every needle lands in, the error band shows how slow luck is, and Lazzarini's too-good 1901 result gets an honest audit.

The Kissing Circles

Three touching circles leave a gap, and exactly one circle fits it. Then three new gaps, forever. Every circle in the foam carries a whole number, and one sum from 1643 ties any four neighbours together: tap a circle and check it. Zoom ten million times and the arithmetic still holds. With a census of the foam's strange dimension, and a secret the foam kept until 2023.

The Fireflies' Agreement

A thousand fireflies, each blinking to its own private clock, each leaning a little toward the others. Below a certain strength of lean: nothing. Just above it, with no leader and no signal, they begin to flash as one. The law's forecast is drawn twenty seconds into the future, and then the meadow walks along it.

The Drunkard and the Bird

A walker taking random steps along a street always finds the way home. So does one loose in a city grid. A bird doing the same in the open air has about one chance in three. Three crowds, three worlds, and the exact law drawn under each: two lines that climb toward everyone, and one that hits a ceiling at 34.05% and stays there.