Games
Some notes on different card games, board games and other miscellaneous stuff.
- [[Backgammon]]N
- [[Chess]]N (common openings, traps and other stuff)
- [[Cuttle]]? (interesting two player combat card game)
- [[Wordsworth, a pencil-and-paper game]]B (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]]N and [[On Numbers and Games, Conway]]N.
-
[[Nim]]N
- [[On Numbers and Games, Conway]]N, Chapter 11
- [[Winning Ways for your Mathematical Plays]]N, Chapter 2
- Variations:
-
Prim
- [[On Numbers and Games, Conway]]N, 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]]N, Chapter 11
-
Dim
- [[On Numbers and Games, Conway]]N, 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
- [[Colourful Nim]]N
-
Prim
- [[Ski Jumps]]N
- Toads-and-Frogs
-
Silver Dollar Game
- [[On Numbers and Games, Conway]]N, Chapter 11
- Without the Dollar
- With the Dollar
-
Northcott’s Game
- [[On Numbers and Games, Conway]]N, Chapter 11
- [[Winning Ways for your Mathematical Plays]]N, Chapter 3
-
Kayles
- [[On Numbers and Games, Conway]]N, Chapter 11
- Rayles
-
Diminishing Rectangles
- [[On Numbers and Games, Conway]]N, Chapter 11
-
Traffic Jams
- [[On Numbers and Games, Conway]]N, Chapter 11
-
Hackenbush
- Green Hackenbush
- Blue-Red Hackenbush
- Blue-Red-Green Hackenbush
- Also known as “Hackenbush Hopscotch”
- [[Winning Ways for your Mathematical Plays]]N, Chapter 1
- Childish Blue-Red Hackenbush
- No edges may fall
- Cutcakes
- Maundy Cake
- Col
- Seating Couples
- White Knight
- Wyt Queens
- [[Tic-Tac-Toe]]N
- “A game on Noetherian rings”