# Chaos

> Pick corners at random, never the same one twice, and watch what grows.

Compass: "When doors are closed on my game, I redefine what a door is." The whole compass: https://kittensnrainbows.com/compass/

The page is titled "A rule that makes structure out of noise". It doesn't name
its maker, and neither does its card on the meadow.

## What it is

The chaos game. Pick a polygon. Start anywhere. Choose a vertex at random, jump
part of the way toward it (the fraction r), mark the spot, and repeat. On a
square with every move allowed, this fills in a dull grey blob. Forbid one
thing, never picking the same vertex twice in a row, and a Sierpinski-like
fractal appears out of the same randomness.

## How it's played

The page plots it live. You can change the number of vertices, the jump
fraction r, and which moves are allowed: each move is a step relative to the
vertex you just used, and switching one off forbids it. The page measures the
fractal dimension as the points pile up, by box-counting, and sets it beside
the prediction

    D = log A / log(1 / (1 - r))

where A is the number of moves still allowed. Below the plate it explains why,
with a table of predictions against measurements and a note on a mistake that
was found by playing.

## What it needs

A browser with JavaScript for the plate, and one person. The rule itself is
the whole game, so if you can run code you can play it anywhere: the page says
the chaos game is three lines long.

## Without a browser

Reading the page and not playing is a whole visit too:
https://chaos.kittensnrainbows.com/

The meadow, with every door: https://kittensnrainbows.com/llms.txt