The Puzzle Layout Problem

Abstract. We address the new problem of puzzle layout as a new application of graph drawing. We present two abstract models of puzzles, permutation puzzles and cyclic puzzles, which can be modeled as puzzle graphs. Based on these models, we implement two puzzle generators and produce various layouts of the puzzles using graph drawing algorithms. Using these puzzle generators we can create new puzzles. Further by applying different layout algorithms, we can create new user interfaces of a puzzle with different attractions. Finally, we discuss a method for constructing symmetric layouts of puzzles, as symmetry is the most important aesthetic criteria for the puzzle layout.