An Inescapable Region for the Chessboard Pebbling Problem on Four Quadrants

Abstract This is a generalisation of a chessboard pebbling problem (and the associated escapability-result) from one quadrant of an infinite integer lattice (as discussed by Chung et. al. in 1995 [Chung, F., Graham, R., Morrison, J. and Odlyzko, A., Pebbling a Chessboard, The American Mathematical Monthly, 102(2), 1995, p. 113.]) to four quadrants.