A game to teach combinatorics.

You may compile the code to play the game. A version is playable in the browser at https://joshhumphriss.com/games/combinopolis/.

Consists of a few topics:

• Bijections: Various problems asking you to draw lines to match up disparate problems to show that they count the same thing.
• Catalan Number Zone: Picks two random problems that count the Catalan numbers and asks for a bijection between them.
• Planar Graphs: Presents a graph and asks for either a planar drawing or a proof that it is non-planar using the Kuratowski-Wagner theorem.
• Graph Colouring: Find graph colourings, and establish bounds on the chromatic number.

This code is fully open source. I've chosen the MIT license, so you can do whatever you want with it as long as you credit me. If you do something cool with my code, I'd love it if you could let me know!