The game Don't Break the Ice is a classic children's game that involves players taking turns hitting ice blocks out of a grid until a block containing a bear falls. We present Don't Break the Ice as a combinatorial game, and analyze various versions with an eye towards both normal and misere play. We present different winning strategies, some applying to specific games and some generalized for all versions of the game.
Kristopher Williams, Assistant Professor of Mathematics, Doane University
Hung, Amy and Uden, Austin
"Analysis of Don't Break the Ice,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 18
, Article 19.
Available at: http://scholar.rose-hulman.edu/rhumj/vol18/iss1/19