balgot / mathematico

Exploring different models on the probabilistic game Mathematico

Geek Repo:Geek Repo

Github PK Tool:Github PK Tool

Mathematico

A classic game, for unlimited number of players. Each player keeps track of their own board and after 25 random choices of numbers, the score is calculated for each player and the highest score wins.

note: You can try it!

Rules of the Game

The game of Mathematico is played on a 5x5 grid. In each round, a card with a number is drawn from the deck consisting of cards with numbers in range 1-13, with 4 copies of each, and players are obliged to fill the number in one of the empty cells on their board. When the boards are full, resulting scores are computed (see below) for each board, and the player with the highest score wins.

Scoring System

For each line, row and two longest diagonals, the points are computed based on the following table and are summed across all rows, columns and diagonals. In addition, if the score in a diagonal is non-zero, the player is awarded 10 bonus points for each such diagonal.

The numbers in the rows, columns and diagonals can be in ANY order.

Rule Example Points
One pair 1 2 3 4 1 10
Two pairs 1 2 2 3 1 20
Three of a kind 5 6 7 7 7 40
Full House 1 1 2 2 2 80
Four of a kind (not number 1) 1 2 2 2 2 160
Four ones 1 1 5 1 1 200
Straight 5 7 9 8 6 50
Three 1s and two 13s 1 13 1 13 1 100
Numbers 1, 10, 11, 12, 13 12 11 13 1 10 150

For each row, column and diagonal, only the highest score is applied, i.e. it is forbidden to combine two scoring rules for one line.

About

Exploring different models on the probabilistic game Mathematico

License:MIT License


Languages

Language:Jupyter Notebook 74.5%Language:Python 25.5%