There is a long history of geometric dissection problems in recreational mathematics and these problems often involve a chessboard in one way or another. Here are two problems that nicely illustrate the genre taken from a marvelous collection of puzzles,*Mathematical Puzzles of Sam Loyd*[12], America’s foremost puzzle expert of the late nineteenth century. I urge you to look at the originals in the book. All of the charm of the original drawings and of Loyd’s prose has been lost in the following versions, although the mathematics remains.

Problem 13.1 In this problem, a square tract of land containing

EP - 246 PB - Princeton University Press PY - 2004 SN - 9780691154985 SP - 223 T2 - Across the Board T3 - The Mathematics of Chessboard Problems UR - http://www.jstor.org/stable/j.ctt7s2g5.16 Y2 - 2020/09/29/ ER -