Equation of Everything

Turn one law into another, one valid move at a time

Every puzzle hands you a real law of physics or chemistry and names a different one to reach. You get there by making moves: get a quantity by itself, replace it using another law, recognise something you have written as a law in its own right. The game only ever offers moves that are valid, so you cannot write something false, and what you end up with is a derivation you made yourself. It is for anyone who is learning physics or chemistry, and for anyone who likes to see how the laws hang together.

Coming soon to Google PlayHow to playPrivacy policy

For Android 12 and newer. Free, with no ads and nothing to buy.

The puzzle The Energy of Motion at move 4 of 7: the goal E k equals one half m v squared, the equation d E k over d t equals m v d v over d t with its dimensions M L squared T to the minus 3, the accepted assumption Velocity is never zero, and the move Chain rule (backwards) on offer.
  • 270+
    puzzles, from one move to seven
  • 360+
    laws in 28 areas of physics, chemistry and mathematics
  • 7
    kinds of move, each with its own colour
  • 366
    science facts, one for each day of the year

What is in the game

  • One law into another

    A puzzle starts from a real law, for example Newton's second law, and names the one to reach, for example kinetic energy. The puzzles go from one-move warm-ups to a seven-move derivation. Every law is a real relation from a textbook; nothing was invented to make a puzzle work.

  • Seven kinds of move

    Get a quantity by itself, replace it using another law, name a part as a law you know, rewrite with an identity, multiply or divide both sides, add a rate up over time, or use a condition the puzzle sets. Nothing is typed: you tap a part of the equation and pick, and only valid moves are offered.

  • Assumptions are part of the answer

    Some steps hold only under a condition: that a mass stays constant, that a radius is never zero. The game asks before it assumes, and every assumption you accept stays written with your working.

  • Measured, not guessed

    Every puzzle was solved by the same engine before it was allowed in, so the move count under it is the shortest route the solver found. Match it without a hint for three stars. Hints come one at a time; when they run out, the engine looks for a next move from where you are. Undo costs nothing.

  • Dimensions on the board

    Under each equation a line says what both sides measure, such as M·L²·T⁻² for an energy. The symbols change with every move and that line does not. You can switch it off.

  • More than 360 laws to look up

    Laws and more than 420 quantities in 28 areas, from mechanics and electromagnetism to chemistry and the mathematics underneath, with a search. When laws share a form, their cards say so: the energy in a capacitor, ½CV², is kinetic energy, ½mv², with other names. Many cards also show which laws are one to three moves away.

  • Your derivation, kept

    When a puzzle is solved, the whole working is written out: where you started, every move with the law behind it, and what you assumed. The best solution of each puzzle is saved, and you can share it or copy it as plain text.

  • A story for each puzzle, a fact for each day

    Every puzzle opens with a short scene from the real world and closes with how it turns out. When you open the game, one science fact for the day is shown: 366 of them, 192 tied to the date. Both can be switched off.

  • Private by design

    No account, no ads, no in-app purchases, no tracking, and no internet permission: nothing you do leaves your phone unless you share a derivation yourself. Your progress stays on the phone, and Android's own backup can carry it to a new one.

A look at the game

  • The puzzle The Energy of Motion at move 4 of 7: the goal, the current equation with its dimensions, the accepted assumption Velocity is never zero, and the move Chain rule (backwards) on offer under What now.
    Derive step by step: move 4 of 7
  • A dialog over the board titled This step needs an assumption: Mass stays constant. Accepting it is part of the answer and stays on your working. Buttons Not yet and Accept and continue.
    Assumptions are named, not hidden
  • The puzzle solved: E k equals one half m v squared, the three accepted assumptions in a row, and a card saying Solved in 7 moves with three stars, best is 7, with a note on the three assumptions and the buttons Your derivation and Next puzzle.
    Solved in seven moves, three stars
  • Your derivation, steps 4 to 7: Replace Acceleration using acceleration as rate of change of velocity, Chain rule backwards, Add it up over time, and It started from rest, ending at E k equals one half m v squared.
    Your derivation, written out
  • A law card's section Built the same way: the energy stored in a capacitor, elastic potential energy, the energy stored in an inductor, the moment of inertia of a solid cylinder, rotational kinetic energy and the area of a sector, each one half of something times a square.
    Laws built the same way
  • The puzzle list: 59 of 275 solved and 167 stars, a search field, a Continue card for An Orbit as a Rotation, filters To do, All and Solved, By topic or By difficulty, and the Mechanics puzzles with their move counts and stars.
    The puzzles, by topic or difficulty
  • Your progress: 59 of 275 puzzles solved, 167 of 825 stars, 49 solved perfectly, 123 of 365 laws met, and achievements with quotations from Michael Faraday and Isaac Newton, each with its source.
    Progress, and achievements with their quotations
  • The fact for 14 October: On this day, physics. Chuck Yeager broke the sound barrier in the Bell X-1 in 1947, a few days after breaking two ribs. Buttons Got it and Do not show these.
    A science fact for the day

Good to know

  • Four colour schemes, Lab at Night, Blackboard, Blueprint and Ember, each in light and dark.
  • Achievements carry quotations from Faraday, Newton, Kelvin, Lavoisier, Euler, Galileo and Feynman, each with its source.
  • The story before each puzzle can be shown the first time, every time or never.
  • A walkthrough leads you through your first puzzle, and you can run it again from the help.
  • The game is in English and Czech, both complete.
  • It runs on Android 12 and newer.

Questions and answers

Do I have to be good at physics to play?

No, but you will meet real equations. The first eight puzzles, called Getting started, take one to three moves, and on first start a walkthrough leads you through your first puzzle tap by tap. Every symbol and every law on the board can be opened to read what it stands for, and hints are always available.

Can I make a mistake?

You cannot write a false equation: the game only offers steps that are valid. You can take a step that leads away from the goal, and then Undo takes it back. Undo costs nothing.

How are the stars counted?

Each puzzle shows the number of moves of its shortest known solution. Reach the goal in that many moves without a hint and you get three stars. Within two moves of it you get two, otherwise one. Any hint costs the third star. Stars open the harder levels: Beginner needs 3 stars, Intermediate 12 and Advanced 30.

Does it need an internet connection?

No. All puzzles, laws and daily facts are part of the app. The app does not have Android's internet permission, so it cannot go online at all.

Which languages does it speak?

English and Czech, both complete: the screens, the puzzles with their stories and hints, the laws and the daily facts. You choose the language in the game's Settings or in Android's own language setting for the app, and the rest of your phone stays as it is.

Where is my progress kept?

On your phone, in the app's own storage: which puzzles you solved, your stars, your fewest moves and the steps of your best solution. If Android backup is turned on, the progress is part of that backup and can move to a new phone. There is no account. The privacy policy has the details.

What does it cost?

Nothing. Equation of Everything is free. There is nothing to buy in the game, no subscription and no advertisements.

Coming to Google Play

Equation of Everything is not listed on Google Play yet. This page will carry the link as soon as it is.

Coming soon to Google Play

Questions or feedback: enlyzr@gmail.com