Puzzles
This is a fairly random collection of puzzles, mostly with a mathematical flavour. A few are original, but most are picked up from friends, books, newsgroups, etc. Some are credited like this, but in many cases I'm afraid I've forgotten where they came from. Some aren't really puzzles, but just questions that happen to have caught my interest.
Many of them have a "spoiler" version giving the answer, or a partial answer, and usually some working. Except where credited most of the solutions are by me, in the sense that the working's mine even if they'd been solved by others before. This means there may well be errors in the working. The symbol ??? indicates a puzzle to (part of) which I don't know the answer. The notation MeN means M x 10N.
If you make any progress on any of these puzzles, or if you'd like to contribute a new one, then please do tell me about it.
Miscellaneous pure mathematics
- 13 points on a circle ~ spoiler
- Sir Arthur Eddington's Cricket Problem ~ spoiler
- Glass-wall Roman numeral determinant ~ spoiler
- Pyewackett cover ~ spoiler
- Sequences
- Triple minor sets ~ spoiler
- Two black neighbours implies black ~ spoiler
Game theory and probability
- Trading by basket
- Matching birthdays ~ spoiler
- Throwing a die until running total crosses threshold ~ spoiler
- Simpson's paradox ~ spoiler
- Tree measures
Geometry and topology
- Bridging a river with unit rods
- Fly on 2 × 1 × 1 brick ~ spoiler
- Lawnmower ~ spoiler
- Offball: object whose projections are disks ~ spoiler
- Paper-folding
- Portion of planets from which others are invisible ~ spoiler
- Sofas and ladders round corners ~ spoiler
- Sphere packings ~ spoiler
- Platonic solids inside and outside a unit sphere ~ spoiler
- Sunrise in the west ~ spoiler
Physics and real-world
- Earth's angular momentum ~ spoiler
- Bowling ball ~ spoiler
- Home energy storage ~ spoiler
- Escape velocities ~ spoiler
- Orbits under gravity ~ spoiler