Soap Bubbles

The main mathematical news

1995: The Double Bubble Theorem: the shape that encloses and separates two given volumes and has the minimal surface is a standard double bubble.

2000: A general proof – The natural arrangement is the minimal surface regardless of bubble size.

2004: The planar triple bubble conjecture is proven.

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Additional Theorems / conjectures / Open questions

*  The Planar Double Bubble Theorem (Same, with circles)

*  The Triple Bubble Conjecture – Does nature achieve the minimal surface when three bubbles (of equal or unequal
volume) merge?

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The main mathematical concepts / Principles

Areas & volume MSC2010#97G30)

*  Surface area

*  Platonic solid

*  Volume

*  Sphere

Analysis (MSC2010#97I99)

*  Extreme value

Plane and solid geometry (MSC2010#97G40)

*  Curvature

*  Angle

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