Bubbles and Tilings: Art and Mathematics

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Reference

Frank Morgan: Bubbles and Tilings: Art and Mathematics. In: Bridges 2014. Pages 11–18

DOI

Abstract

The 2002 proof of the Double Bubble Conjecture on the ideal shape for a double soap bubble depended for its ideas and explanation on beautiful images of the multitudinous possibilities. Similarly recent results on ideal tilings depend on the artwork.

Extended Abstract

Bibtex

Used References

[1] Frank Morgan, Geometric Measure Theory, Academic Press, 2009.

[2] Ping Ngai Chung, Miguel A. Fernandez, Yifei Li, Michael Mara, Frank Morgan, Isamar Rosa Plata, Niralee Shah, Luis Sordo Vieira, Elena Wikner, Isoperimetric pentagonal tilings, Notices Amer. Math. Soc. 59 (2012), 632-640.


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Full Text

http://archive.bridgesmathart.org/2014/bridges2014-11.pdf

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Sonstige Links

http://archive.bridgesmathart.org/2014/bridges2014-11.html