Interesting Esoterica

Perimeter-minimizing pentagonal tilings

Article by Chung, Ping Ngai and Fernandez, Miguel and Shah, Niralee and Sordo Vieira, Luis and Wikner, Elena
  • Published in 2014
  • Added on
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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Other information

publisher
Mathematical Sciences Publishers
journal
Involve, a Journal of Mathematics
volume
7
issue
4
doi
10.2140/involve.2014.7.453
issn
1944-4184
pages
453-478

BibTeX entry

@article{Perimeterminimizingpentagonaltilings,
	title = {Perimeter-minimizing pentagonal tilings},
	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. },
	url = {https://msp.org/involve/2014/7-4/p02.xhtml http://msp.org/involve/2014/7-4/involve-v7-n4-p02-s.pdf},
	year = 2014,
	author = {Chung, Ping Ngai and Fernandez, Miguel and Shah, Niralee and Sordo Vieira, Luis and Wikner, Elena},
	comment = {},
	urldate = {2021-05-04},
	publisher = {Mathematical Sciences Publishers},
	journal = {Involve, a Journal of Mathematics},
	volume = 7,
	issue = 4,
	doi = {10.2140/involve.2014.7.453},
	issn = {1944-4184},
	pages = {453-478},
	collections = {easily-explained,geometry,things-to-make-and-do}
}