Combinatorial Poppies

Karl Kattchee and Craig S. Kaplan
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 111–118 Regular Papers


In this paper, we consider orthogonal closed paths that dwell on the edges of square grids. A certain subset of these paths are called “poppies.” We derive a formula for the number of asymmetrical poppies on an n by n grid, and we explore the aesthetics of the poppies.