Double Bubble
The planar double bubble (three circular arcs meeting in two points at equal 120° Angles) has theminimum Perimeter for enclosing two equal areas (Foisy 1993, Morgan 1995).
See also Apple, Bubble, Double Bubble Conjecture, Sphere-Sphere Intersection
References
Campbell, P. J. (Ed.). Reviews. Math. Mag. 68, 321, 1995. Foisy, J.; Alfaro, M.; Brock, J.; Hodges, N.; and Zimba, J. ``The Standard Double Soap Bubble in Morgan, F. ``The Double Bubble Conjecture.'' FOCUS 15, 6-7, 1995. Peterson, I. ``Toil and Trouble over Double Bubbles.'' Sci. News 148, 101, Aug. 12, 1995.
Uniquely Minimizes Perimeter.'' Pacific J. Math. 159, 47-59, 1993.
- Saint Petersburg Paradox
- Sal
- Salamin Formula
- Salem Constants
- Salesman Problem
- Salient Point
- Salinon
- Salmon's Theorem
- Saltus
- Sample Proportion
- Sample Space
- Sample Variance
- Sampling
- Sampling Function
- Sampling Theorem
- Sandwich Theorem
- San Marco Fractal
- Sard's Theorem
- Sarkovskii's Theorem
- Sarrus Linkage
- Sarrus Number
- SAS Theorem
- Satellite Knot
- Satisfiability Problem
- Sausage Conjecture