Aside

Games

Small browser games, built outside of teaching and research. One is a revision aid for a probability course; the rest are only games.

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Sudomathania

Sudoku and arithmetic, in three dimensions

A sudoku that does not lie flat. The board is a 4 × 4 × 4 cube, and every row, every column and every pillar of four cells must contain 1, 2, 3 and 4 exactly once. Three directions to satisfy at once instead of two.

Crossed over the top of that are arithmetic cages: small outlined groups of cells that must hit a target under a given operation. A cage marked 12× holds values that multiply to twelve; one marked 3− holds two that differ by three. The cages wrap around corners and climb between layers, so the arithmetic is three-dimensional too.

Drag to rotate, click a cell, press 1–4. Plays on a phone or a keyboard.

How it is built

The board
A randomly generated Latin cube — sixty-four cells, forty-eight lines to satisfy.
The cages
Grown as connected regions through the cube, then given an operation their own values admit.
The guarantee
A solver counts the solutions before a puzzle is ever shown. It ships only if there is exactly one.
The promise
No guessing is ever required. Every puzzle yields to reasoning alone.
Also new

Powers of Ten

A game about scale · 26 orders of magnitude

You are a single mote of dust, twenty-two micrometres across, and the camera is all the way in. Eat anything smaller, flee anything larger, and fill the bar.

When it fills, the world zooms out by an order of magnitude and you become the next thing up the ladder. Everything you spent the last ten seconds learning collapses to a speck — and it leaves a labelled ring behind, so by the end the field is littered with the worlds you outgrew. Each rung changes the physics under you, not just the picture.

Plays on a phone or a keyboard. No install, no account.

The ladder

Mote
10−5 m — dust, shivering with Brownian motion
Grain · Pebble
Thick fluid gives way to something you can steer
Asteroid
103 m — pure vacuum momentum, no drag at all
Moon · Planet · Star
Gravity arrives, and you learn to slingshot
Black hole
Your own pull starts dragging the hazards into your lap
Galaxy
1021 m. And then it shows you what you crossed.
Built for a course

Acts of the Continuous

MATH 3200 · Exam 2

A revision game in six acts, following the second-exam material of MATH 3200: continuous densities, the normal family, the gamma family and its relatives, moment generating functions, and joint distributions.

Each question carries a written explanation behind the answer, so a wrong choice is still worth reading. The acts unlock in order and keep a best score of their own, and a name entered at the end appears on a shared leaderboard.

The six acts

  1. Act I

    Foundations

    Densities and CDFs, expectation, variance, linear transformations.

  2. Act II

    The Bell

    The normal distribution: standardise, look up, compare.

  3. Act III

    The Gamma Dynasty

    One family covering the exponential, chi-squared and Erlang.

  4. Act IV

    Exp & Beta

    Waiting times, chi-squared as a gamma in disguise, and the beta on the unit interval.

  5. Act V

    The MGF Toolkit

    Moment generating functions: sums of independent variables, linear transforms.

  6. Act VI

    Two-Variable World

    Joint densities, marginals, independence, covariance, conditionals.

For fun

Arcade games

Orbital

One button · space bar or tap

You are locked in orbit; let go and you fly dead straight until the next planet’s gravity catches you. Release late and tight for a perfect and a rising multiplier, while a void climbs from below and never stops gaining.

Open the game

Revenge of the Basco

One input · space bar or tap

A single-button run: press to stay airborne and thread the gaps between columns of fire. The longer the run lasts the less the columns hold still, and there are bosses waiting further in.

Open the game

Sigma Strike

Wave shooter · arrow keys and space, or touch

A statistics-themed space shooter. Clear each wave, chain hits for a combo multiplier, pick up weapon, shield and bomb upgrades, and meet a boss on every tenth wave.

Open the game

These were built for the pleasure of building them, and they stay here for anyone who wants them. Nothing on this page is required for any course.

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