NIM MED EN MODULÄR MULLERTWIST

Sammanfattning

This paper explains the basis for impartial games and the classic

game Nim. Nim is complicated by a modular Muller twist and the

solution for this game is described by a simple theorem. The modular

Muller twist means that at the end of each move the player selects a k

and the number of sticks the next player leaves in the pile, where the

draw is made, must be congruent with k modulo m. The number m is

fixed throughout the game.