Perimeter-minimizing pentagonal tilings

Ping Ngai Chung; Miguel Fernandez; Niralee Shah; Luis Sordo Vieira; Elena Wikner

doi:10.2140/involve.2014.7.453

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2014 Perimeter-minimizing pentagonal tilings

Ping Ngai Chung, Miguel Fernandez, Niralee Shah, Luis Sordo Vieira, Elena Wikner

Involve 7(4): 453-478 (2014). DOI: 10.2140/involve.2014.7.453

Abstract

We provide examples of perimeter-minimizing tilings of the plane by convex pentagons and examples of perimeter-minimizing tilings of certain small flat tori.

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Ping Ngai Chung. Miguel Fernandez. Niralee Shah. Luis Sordo Vieira. Elena Wikner. "Perimeter-minimizing pentagonal tilings." Involve 7 (4) 453 - 478, 2014. https://doi.org/10.2140/involve.2014.7.453