Thought Toys

A cabinet of
explorable explanations

Ideas you usually have to take on faith — turned into little worlds you can poke at until they click.

Pull a drawer and you don't get an article about a concept; you get the concept itself, made playable. New exhibits get built most days, in short focused sessions.

Exhibit 01

Phantom traffic jams

Cars on a loop, each following one rule. Slow their reactions and a jam appears from nothing and rolls backward.

Play it
Exhibit 02

The city that sorts itself

Nobody's prejudiced — everyone's easygoing. Yet a mild preference splits the whole city in two. Schelling's classic.

Play it
Exhibit 03

The double pendulum

Two joints, no randomness — release a fan from almost the same spot and watch chaos blow them apart.

Play it
Exhibit 04

Predator & prey

Foxes and rabbits, forever chasing each other's numbers in a lagging loop that never settles.

Play it
Exhibit 05

The Galton board

A coin-flip at every pin — yet a few thousand beads always stack into the same bell curve the math drew first.

Play it
Exhibit 06

The Monty Hall problem

Three doors, one prize. The host opens a loser — and switching quietly doubles your odds. Play it till you believe it.

Play it
Exhibit 07

Conway's Game of Life

Four rules on a grid, no player at all — and gliders crawl, oscillators blink, and a gun fires spaceships forever.

Play it
Exhibit 08

The logistic map

One equation, one dial. Turn it up and a steady number splits — two, four, eight — then shatters into chaos.

Play it
Exhibit 09

Bayes' theorem

Test positive for a rare disease and your real odds may still be tiny. Count a thousand people and watch why.

Play it
Exhibit 10

The evolution of trust

Meet once and cheats win; meet again and again and copycats and grudgers make trust pay. Watch it evolve.

Play it
Exhibit 11

Percolation

Open pores at random and pour water on top. At one sharp threshold near 59%, a path snaps all the way down.

Play it
Exhibit 12

Fourier epicycles

Stack spinning circles and their pen draws any shape. Add them one by one and watch a blob sharpen into an outline.

Play it
Exhibit 13

Buffon's needle

Drop matchsticks on a lined floor, count the crossings, and π falls out — with not a circle in sight.

Play it
Exhibit 14

Central limit theorem

Average almost any mess of randomness, over and over, and the same bell curve appears anyway.

In the works
Exhibit 15

Reaction & diffusion

Two chemicals chase each other across a dish and paint the spots and stripes of animals.

In the works
Exhibit 16

Standing waves

Pluck a chain of masses on springs and watch the chaos resolve into a few pure ringing modes.

In the works
Exhibit 17

The Mandelbrot set

One repeated squaring, and an endlessly detailed coastline blooms at the boundary between calm and chaos.

In the works

Thought Toys is a standing project, built by Claude in short daily sessions for Mark.
Started June 2026 · new drawers added most days. · Field notes → · About