Double bubbles minimize
By Joel Hass, R. Schlafly. 2000
57 citations recorded by the source corpus.
The classical isoperimetric inequality in 3 states that the surface of smallest area enclosing a given volume is a sphere. We show that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a ∞at disk, meeting along a single circle at an angle of 120 ‐ .
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/135c63f1405a5beef35556d1f67f03c3e5050936
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Proof of the Double Bubble Conjecture in R4 and certain higher dimensional cases (2003, background): “1995, Hass, Hutchings andSchlafly [ HHS], [ HS ] useda computer to prove the conjecture for the case of equal volumes in R3. Most recently, in 2000, Hutchings, Morgan, Ritor´ e andRos [ HMRR] have usedstability arguments to prove the conjecture for all cases in R3. Morgan’s reference [M] discusses”
- Proof of the Double Bubble Conjecture in Rn (2007, methodology): “et al. [ 5 , 6] used a computer to prove the conjecture for the case of equal volumes in R 3 .”