Double Bubbles Minimize

Details Double Bubbles Minimize Double Bubbles Minimize

2000-03-27

arxiv.org/abs/math/0003157v2

Ann. of Math. (2) 151 (2000), no. 2, 459--515

Mathematics

Differential Geometry

57 pages, 32 figures. Includes the complete code for a C++ program as described in the article. You can obtain this code by vi

Scientific paper

The 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.

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