Bubble

A bubble is a Minimal Surface of the type that is formed by soap film. The simplest bubble is a singleSphere. More complicated forms occur when multiple bubbles are joined together. Two outstanding problems involvingbubbles are to find the arrangements with the smallest Perimeter (planar problem) or Surface Area (Area problem)which enclose and separate given unit areas or volumes in the plane or in space. For , the problems are called theDouble Bubble Conjecture and the solution to both problems is known to be the Double Bubble.

References

Morgan, F. ``Mathematicians, Including Undergraduates, Look at Soap Bubbles.'' Amer. Math. Monthly 101, 343-351, 1994.

Pappas, T. ``Mathematics & Soap Bubbles.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 219, 1989.

• Isohedron
• Isolated Point
• Isolated Singularity
• Isolating Integral
• Isometric Latitude
• Isometry
• Isomorphic Graphs
• Isomorphic Groups
• Isomorphic Posets
• Isomorphism
• Isoperimetric Inequality
• Isoperimetric Point
• Isoperimetric Problem
• Isoperimetric Quotient
• Isoperimetric Theorem
• Isopleth
• Isoptic Curve
• Isosceles Tetrahedron
• Isosceles Triangle
• Isoscelizer
• Isospectral Manifolds
• Isothermal Parameterization
• Isotomic Conjugate Point
• Isotomic Lines
• Isotone Map