Double Bubble Conjecture

Two partial Spheres with a separating boundary (which is planar for equal volumes) separate two volumes ofair with less Area than any other boundary. The planar case was proved true for equal volumes by J. Hass andR. Schlafy in 1995 by reducing the problem to a set of 200,260 integrals which they carried out on an ordinary PC.

References

Haas, J.; Hutchings, M.; and Schlafy, R. ``The Double Bubble Conjecture.'' Electron. Res. Announc. Amer. Math. Soc. 1, 98-102, 1995.

• Elliptic Integral of the Third Kind
• Elliptic Integral Singular Value
• Elliptic Integral Singular Value k1
• Elliptic Integral Singular Value k2
• Elliptic Integral Singular Value k3
• Ellipticity
• Elliptic Lambda Function
• Elliptic Logarithm
• Elliptic Modular Function
• Elliptic Paraboloid
• Elliptic Partial Differential Equation
• Elliptic Plane
• Elliptic Point
• Elliptic Pseudoprime
• Elliptic Rotation
• Elliptic Theta Function
• Elliptic Torus
• Elliptic Umbilic Catastrophe
• Ellison-Mendès-France Constant
• Elongated Cupola
• Elongated Dipyramid
• Elongated Dodecahedron
• Elongated Gyrobicupola
• Elongated Gyrocupolarotunda
• Elongated Orthobicupola