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Perimeter-minimizing
pentagonal tilings
Ping Ngai Chung, Miguel A. Fernandez, Niralee Shah, Luis Sordo Vieira and Elena Wikner
Vol. 7 (2014), No. 4, 453–478
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Abstract |
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We provide examples of perimeter-minimizing tilings of the plane by convex pentagons and examples of perimeter-minimizing tilings of certain small flat tori. |
Keywords
tilings, pentagon, isoperimetric
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Mathematical Subject Classification 2010
Primary: 52C20
Secondary: 52C05
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Milestones
Received: 29 March 2012
Accepted: 26 May 2012
Published: 31 May 2014
Communicated by Michael Dorff
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Authors |
| Ping Ngai Chung | |
| Department of Mathematics Massachusetts Institute of Technology 305 Memorial Drive Cambridge, MA 02139 United States |
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| Miguel A. Fernandez | |
| Mathematics and Computer Science
Department Truman State University 100 E. Normal Avenue Kirksville, MO 63501 United States |
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| Niralee Shah | |
| Department of Mathematics and
Statistics Bronfman Science Center Williams College Williamstown, MA 01267 United States |
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| Luis Sordo Vieira | |
| Department of Mathematics Wayne State University 656 W. Kirby Detroit, MI 48202 United States |
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| Elena Wikner | |
| Department of Mathematics and
Statistics Bronfman Science Center Williams College Williamstown, MA 01267 United States |
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