Number Scrabble (also known as Pick15 [1] [2] [3] or 3 to 15 [4]) is a mathematical game where players take turns to select numbers from 1 to 9 without repeating any numbers previously used, and the first player with a sum of exactly 15 using any three of their number selections wins the game. [5] [6] The game is isomorphic to tic-tac-toe, as can be seen if the game is mapped onto a magic square. [6]
Number Scrabble is played with the list of numbers between 1 and 9. Each player takes turns picking a number from the list. Once a number has been picked, it cannot be picked again. If a player has picked three numbers that add up to 15, that player wins the game. [5] [6] [7] However, if all the numbers are used and no player gets exactly 15, the game is a draw. [5] [6]
The game is identical to tic-tac-toe, as can be seen by reference to a 3x3 magic square: if a player has selected three numbers which can be found in a line on a magic square, they will add up to 15. If they have selected any other three numbers, they will not. [8]
As an example game between player A and player B:
Here are the rules of a game, which I shall call number scrabble.
Number Scrabble (also known as Pick15 [1] [2] [3] or 3 to 15 [4]) is a mathematical game where players take turns to select numbers from 1 to 9 without repeating any numbers previously used, and the first player with a sum of exactly 15 using any three of their number selections wins the game. [5] [6] The game is isomorphic to tic-tac-toe, as can be seen if the game is mapped onto a magic square. [6]
Number Scrabble is played with the list of numbers between 1 and 9. Each player takes turns picking a number from the list. Once a number has been picked, it cannot be picked again. If a player has picked three numbers that add up to 15, that player wins the game. [5] [6] [7] However, if all the numbers are used and no player gets exactly 15, the game is a draw. [5] [6]
The game is identical to tic-tac-toe, as can be seen by reference to a 3x3 magic square: if a player has selected three numbers which can be found in a line on a magic square, they will add up to 15. If they have selected any other three numbers, they will not. [8]
As an example game between player A and player B:
Here are the rules of a game, which I shall call number scrabble.