Double Bubbles Minimize

Simple item page
dc.creatorHass, Joel
dc.creatorSchlafly, Roger
dc.date2000-03-27
dc.date2000-10-10
dc.date.accessioned2026-07-07T04:34:25Z
dc.date.available2026-07-07T04:34:25Z
dc.descriptionThe classical isoperimetric inequality in R^3 states that the surface of smallest area enclosing a given volume is a sphere. We show that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a flat disk, meeting along a single circle at an angle of 120 degrees.
dc.description57 pages, 32 figures. Includes the complete code for a C++ program as described in the article. You can obtain this code by viewing the source of this article
dc.identifierhttps://arxiv.org/abs/math/0003157
dc.identifierhttp://arxiv.org/abs/math/0003157
dc.identifierAnn. of Math. (2) 151 (2000), no. 2, 459--515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58897
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subject53A10; 49Q05
dc.titleDouble Bubbles Minimize
dc.typetext

Files

Collections

arXiv