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Research articles

ScienceAsia (): 244-248 |doi: 10.2306/scienceasia1513-1874...244


Double bubbles outside a disc


Banyat Sroysanga, Wacharin Wichiramalab,c,*

 
ABSTRACT:     We show that the least-perimeter way to enclose and separate two regions of prescribed area outside a disc is a truncated standard double bubble.

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a Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Centre, Pathumthani 12121, Thailand
b Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
c Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand

* Corresponding author, E-mail: wacharin.w@chula.ac.th

Received 30 Apr 2010, Accepted 14 Aug 2010