Grid-based decorative corners

Craig S. Kaplan
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 317–324


I explore a space of geometric, decorative corner designs based on paths through a square grid. I discuss the problems of enumerating corners of a given size efficiently, and exploring them interactively in software. I then impose a higher-level connectivity constraint on corners and discuss the effect of this constraint on the mathematical and aesthetic properties of corner designs.