%0 Journal Article %T Scenic trails ascending from sea-level Nim to alpine chess %A Aviezri S. Fraenkel %J Mathematics %D 1995 %I arXiv %X Aim: Present a systematic development of part of the theory of combinatorial games from the ground up. Approach: Computational complexity. Combinatorial games are completely determined; the questions of interest are efficiencies of strategies. Methodology: Divide and conquer. Ascend from Nim to chess in small strides at a gradient that's not too steep. Presentation: Informal; examples of games sampled from various strategic viewing points along scenic mountain trails, which illustrate the theory. %U http://arxiv.org/abs/math/9503222v1