  The solitaire army is a one-person peg jumping game where a player attempts
to advance an "army" of pegs as far as possible into empty territory. The game
was introduced by John Conway and is also known as "Conway's Soldiers". We
consider various generalizations of this game in different 2D geometries, unify
them under a common mathematical framework, and find the minimum size army
capable of advancing a given number of steps.
