NIM MED EN MODULÄR MULLERTWIST
This paper explains the basis for impartial games and the classicgame Nim. Nim is complicated by a modular Muller twist and thesolution for this game is described by a simple theorem. The modularMuller twist means that at the end of each move the player selects a kand the number of sticks the next player leaves in the pile, where thedraw is made, must be congruent with k modulo m. The number m isfixed throughout the game.