I’m a huge fan of all sorts of puzzles (especially logic puzzles with a mathematical flair). As an enthusiast and sometimes-creator of escape rooms, I love creating various types of original puzzle—some of them which work online are exhibited here, as well as non-original puzzles I have heard elsewhere and loved.

Logic Puzzles: deduce the unique answer satisfying a set of constraints in a pure environment.

State Exploration:

Design an algorithm to prod at your environment and deduce some critical feature.

Strategy Finding: design a winning strategy to a game.

Optimisation: find a rule to maximise or minimise the score or time taken, for example.

Probability: estimate the probability or expected value of some event given a set of information.

Number Puzzles: frequently of the form “find a number which satisfies all of a list of constraints”.

Other Mathematical Puzzles: these rely on other mathematics to solve, such as higher-dimensional thinking or integration.

Word Puzzles: match patterns in words, arrange letters, find words which meet constraints, and so on.