2000/03/31 by Joel Hass, Roger Schlafly · 1 citation
Mathematics · #math.DG #math.OC #msc:53A10 #msc:49Q05
published as Ann. of Math. (2) 151 (2000), no. 2, 459--515 · 57 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
arxiv created 2000/10/10 · arxiv updated 2009/11/30
The classical isoperimetric inequality in R3 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.