The double bubble theorem, in the mathematical study of minimal surfaces, states that the surface enclosing and separating two given volumes of air with the least possible total surface area is the standard double bubble: three spherical surfaces meeting at a common circle at angles of 120 degrees, the same shape formed by two ordinary soap bubbles joined together. First conjectured in the nineteenth century, the theorem was not proven rigorously until 2002.
Facts
Statementthe shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble: three spherical surfaces meeting at angles of 120 degrees on a common circle 1 Classification
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Source Double bubble theorem - Wikipedia
Sources
1. Double bubble theorem - Wikipedia
Introduction
the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble: three spherical surfaces meeting at angles of 120° on a common circle.
History
The proof of the full conjecture by Hutchings, Morgan, Ritoré, and Ros was announced in 2000 and published in 2002.
In Branch: Differential Geometry, Lead section
In the mathematical theory of minimal surfaces, the double bubble theorem states that the shape
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