Phutball

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Phutball (short for philosopher's football ) is a strategic board game for two people. It is described by Elwyn Berlekamp , John Horton Conway and Richard Guy in their book Winning Strategies for Mathematical Games .

regulate

preparation

The game is played on a board with 15 × 21 intersections on which the stones are placed during the course of the game. The rows are numbered from 0 to 20 (rows 0 and 20 are often left out, as in the picture). There is one white and, in principle, an unlimited number of black stones. The white stone is the "ball" and is at the beginning on the point in the middle of the board, which is otherwise empty.

Sit or jump

A move that hits the four jumped stones

The players take turns drawing. The player to move either places a black stone on a free point on rows 1 to 19 or jumps over black stones with the ball in an orthogonal or diagonal direction, whereby these are captured. You can hit one or a row of several stones in one jump, but you cannot skip a free point. The ball lands on the first free point behind the jumped stones. After each jump, the stones struck are removed immediately, after which the move can be continued with further jumps. There is no obligation to jump or continue a move.

target

Player A wins if the ball is on row 19 or 20 at the end of a move, and player B wins accordingly if the ball is on row 1 or 0.

Web links

Individual evidence

  1. ^ Winning - strategies for mathematical games, Vieweg Verlag 1985/1986 in several volumes (Original Winning ways for your mathematical plays , 4 volumes, 2001, first 1982, Academic Press)