Perimeter-minimizing Tilings by Convex and Non-convex Pentagons

Abstract

We study the presumably unnecessary convexity hypothesis in the theorem of Chung et al. [CFS] on perimeter-minimizing planar tilings by convex pentagons. We prove that the theorem holds without the convexity hypothesis in certain special cases, and we offer direction for future research.

References in corpus (1)

• Perimeter-minimizing Tilings by Convex and Non-convex Pentagons

Cited by in corpus (1)

• Perimeter-minimizing Tilings by Convex and Non-convex Pentagons