Mathematichess
Mathematichess is a new chess variant created for both chess lovers and mathematicians. It is played on a 13x13 board and involves unique rules that incorporate mathematical concepts.
This game is a combination of Chess, Go, Rummy, and maths. The objective of the game is to control the empty squares that give value points to the owner. The value of a square depends on the number and type of pieces surrounding it.
Setup
The initial setup is a 13x13 empty board. Each player has 9 Kings, 9 Queens, 9 Treasurers, 9 Rooks, 9 Bishops, 9 Knights, 9 Guards, 9 Pawns, and 9 Farmers, with values from 9 to 1 in the order listed.
The game has two stages:
- In the first stage players take turns placing their pieces anywhere on the board until all pieces are on the board.
- In the second stage players battle for controlling the empty squares.
Each player has 81 pieces. When all pieces are on the board seven empty squares should remain. The empty squares are the focus of the game.
Pieces
Each piece has a certain numerical value from 1 to 9. There are four types of moves:
- Sliding (one square orthogonally or diagonally, or both).
- Jumping (like a Knight, or one square diagonally, or orthogonally, or both).
- Pushing (pushing an entire line, or column, or diagonal).
- Substituting (swapping places with nearby pieces).
Only the Knight retains its original move from classic chess. Pieces have to move differently from classic chess due to the crowded board.
All piece movements are only allowed towards an empty square.
Sliders:
- Farmers are the lowest pieces with a value of one. They move one square diagonally.
- Pawns have a value of two. They move one square orthogonnaly in any dirrection.
Jumpers:
- Guards have a value of three. They jump one square diagonally or orthogonally. They can jump over both friendly or enemy pieces.
- Knights have a value of four. They jump like in the classic chess on an empty square.
Pushers:
- Bishops have a value of five. They can push an entire diagonal towards an empty square.
- Rooks have a value of six. They can push an entire line or colums towards an empty square.
- Treasurers have a value of seven. They can push an entire line, column, or diagonal towards an empty square.
Substituters:
- Queens have a value of eight. They can substitute any piece close to an empty square through a Queen like move, by jumping over pieces on their way. The substituted piece will take their original place. Queens cannot jump over Kings, or empty squares.
- Kings have a value of nine. They can substitute any nearby piece close to an empty square by swaping places.
Terminators:
- At any stage of the game each player is allowed to choose a Terminator among its own pieces.
- The choosen Terminator is removed from the board in order to create an additional empty square.
- Once removed from the board Terminators don't play any further role into the game.
- Each player is only allowed one Terminator move per game.
Rules
There is no castling, no en passant, no promotions, no check, and no check mate. Also, there is no capturing of pieces. The battle is arround the empty squares. Each empty square represents a territory whose value is given by the value of the pieces surrounding it. The objective of the game is to control as many territories as possible.
Pieces surrounding a territory (one square away orthogonally or diagonally) are called Settlers. The value of a teritory is given by the value of its Settlers.
Each teritory can have 8 Settlers in the centre of the board, 5 Settlers on a side, and 3 on a corner. Players are allowed to join territories (two or three, or more empty squares) if they can control them.
There are two types of territories:
- Sovereign (a teritory where a player has a numerical advantage).
- Shared (a teritory where the black/white pieces are on a 50/50 ratio).
The value of a territory is calculated as following:
- Pieces controlling the sides have their value multiplied
- Pieces controlling the corners have their value added.
Kings and Queens represent the Royals.
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By Florin Lupusoru.
Last revised by Florin Lupusoru.
Web page created: 2023-05-07. Web page last updated: 2024-01-04