학술논문
Perimeter-minimizing Tilings by Convex and Non-convex Pentagons
Document Type
Working Paper
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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.