# Games

> Source: https://ollybritton.com/notes/random/games/ · Updated: 2024-12-01 · Tags: random, notes, board-games

Some notes on different card games, board games and other miscellaneous stuff.

- [Backgammon](https://ollybritton.com/notes/random/games/backgammon/)
- [Chess](https://ollybritton.com/notes/random/games/chess/) (common openings, traps and other stuff)
- [redacted](https://ollybritton.com/404) (interesting two player combat card game)
- [Wordsworth, a pencil-and-paper game](https://ollybritton.com/blog/wordsmith/) (compete to create the most words in a 5x5 grid)

### Combinatorial Games
A combinatorial game is a two-player perfect information game with no chance, and are studied extensively in [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/) and [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/).

- [ ] [Nim](https://ollybritton.com/notes/random/games/nim/)
	- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 2
	- Variations:
		- [ ] Prim
			- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
			- Variant of Nim
			- Remove from a heap of size $n$ any number prime to $n$
			- $\mathcal G(n)$ is $k$ if the least prime divisor of $n$ i s the $k$th prime.
		- [ ] Rims
			- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
		- [ ] Dim
			- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
			- Variant of Nim
			- Remove from a heap of size $n$ any divisor of $n$ not equal to $n$
			- $\mathcal G(n) = k$ if $2^{k-1}$ exactly divised $n$.
		- [ ] Poker Nim
			- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 3
		- [ ] [Colourful Nim](https://ollybritton.com/notes/random/games/colourful-nim/)
			- [Winning colourful Nim with the eeny-meeny rule](https://ollybritton.com/blog/colourful-nim/)
- [ ] [Ski Jumps](https://ollybritton.com/notes/random/games/ski-jumps/)
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 1
- [ ] Toads-and-Frogs
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 1
- [ ] Silver Dollar Game
	- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
	- Without the Dollar
	- With the Dollar
- [ ] Northcott's Game
	- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 3
- [ ] Kayles
	- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
	- Rayles
- [ ] Diminishing Rectangles
	- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
- [ ] Traffic Jams
	- [On Numbers and Games, Conway](https://ollybritton.com/notes/books/on-numbers-and-games/), Chapter 11
- [ ] Hackenbush
	- Green Hackenbush
	- Blue-Red Hackenbush
		- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 1
	- Blue-Red-Green Hackenbush
		- Also known as "Hackenbush Hopscotch"
		- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 1
	- Childish Blue-Red Hackenbush
		- No edges may fall
- [ ] Cutcakes
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 2
- [ ] Maundy Cake
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 2
- [ ] Col
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 2
- [ ] Seating Couples
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 2
- [ ] White Knight
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 3
- [ ] Wyt Queens
	- [Winning Ways for your Mathematical Plays](https://ollybritton.com/notes/textbooks/winning-ways-for-your-mathematical-plays/), Chapter 3
- [x] [Tic-Tac-Toe](https://ollybritton.com/notes/random/games/tic-tac-toe/)
- [ ] ["A game on Noetherian rings"](https://mathoverflow.net/questions/93276/a-game-on-noetherian-rings)

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