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The '''double bubble''', or '''double soap bubble''', geometry has long posed a fascinating mathematical challenge:  which shape for the surface of a double bubble encloses volume most efficiently?

The '''double bubble''', or '''double soap bubble''', [[geometry]] has long posed a fascinating mathematical challenge:  which shape for the surface of a double bubble encloses [[volume]] most efficiently?

When a double soap bubble forms, it consists of two spheres that intersect, with a soap film separating the chambers on each side.  This separating wall connects with the surface of each sphere at a 120-degree angle.  If the two spheres have equal size, then the separating film has the shape of a flat disk.  If one sphere is larger, then the separating wall bulges into the larger space enclosed by the larger sphere.

When a double soap bubble forms, it consists of two spheres that intersect, with a soap film separating the chambers on each side.  This separating wall connects with the surface of each sphere at a 120-degree angle.  If the two spheres have equal size, then the separating film has the shape of a flat disk.  If one sphere is larger, then the separating wall bulges into the larger space enclosed by the larger sphere.

The question of which geometric shape for a co-equal double bubbles maximizes the internal volume baffled mathematicians for decades.

The question of which geometric shape for a co-equal double bubbles maximizes the internal volume baffled mathematicians for decades until it was finally solved in 2002. <ref>http://www.jstor.org/discover/10.2307/3062123?uid=2&uid=4&sid=21102047941861</ref>

 

 

[[Category:mathematics]]

[[Category:mathematics]]