45 lines
2.4 KiB
Markdown
45 lines
2.4 KiB
Markdown
# Chessboard puzzle game
|
|
#### Video Demo: <youtu.be/lzgrjCYor_A>
|
|
#### Background information
|
|
This script implements a puzzle game described
|
|
[here](http://datagenetics.com/blog/december12014/index.html).
|
|
I heard about it thanks to 3blue1brown and Stand-up Maths who played
|
|
it and explained it [here](https://youtu.be/as7Gkm7Y7h4).
|
|
|
|
#### Overview of the puzzle:
|
|
- Two players are faced with a challenge by a judge.
|
|
- The judge will show player 1 (P1) a square chessboard covered in coins.
|
|
Each coin will be put heads or tails by the judge at their will.
|
|
- The judge will show player 1 a tile of the chessboard where a key will
|
|
be hidden. Player 1 must then flip one and only one coin and then leave
|
|
the room without communicating with Player 2.
|
|
- Player 2 is then shown the chessboard (as modified by the single flip made
|
|
by Player 1) and must guess the correct tile where the key is hidden.
|
|
- Player 1 and 2 can agree upon a strategy before starting, but the judge
|
|
will know what they said and can act accordingly when choosing the coin
|
|
disposition on the chessboard.
|
|
- No tricks: the players can not communicate after Player 1 is told where the
|
|
key is; each coin may be only H or T, its orientation is meaningless, and
|
|
it cannot be put in other states (e.g. on its side).
|
|
|
|
#### Description
|
|
The script generates three pdf files: Problem, Key and Solution.
|
|
- `Key.pdf` shows the initial 8x8 grid, filled with random heads (H) or tails
|
|
(T), with an orange coin where the invisible key is hidden.
|
|
This is how the grid looks like when the judge shows it to Player 1
|
|
asking them to flip one and only one coin.
|
|
- `Problem.pdf` shows the same grid with just one coin flipped by Player 1.
|
|
This is how the grid looks like when the judge shows it to Player 2 after
|
|
Player 1 has flipped one coin.
|
|
- `Solution.pdf` shows the same grid, with an orange coin and a purple coin.
|
|
The orange one is where the key is hidden, the purple-background coin
|
|
is the one to flip to communicate where the key is.
|
|
|
|
##### How to play
|
|
- Show player 1 the `Key.pdf`: a grid with one key hidden.
|
|
- Ask player 1 to flip one and only one coin. They should choose the
|
|
purple-background coin in `Solution.pdf`, thus producing the same grid
|
|
shown in `Problem.pdf`.
|
|
- Show Player 2 `Problem.pdf` and ask them to identify where the key is.
|
|
They should point to the orange coin in `Key.pdf` and `Solution.pdf`.
|