Research Supervision Generalized the recent proof of the double bubble conjecture from R3 to R 4 and certain higher dimensional cases. Papers, Component http://www.williams.edu/Mathematics/fmorgan/student2.html
Published SMALL Papers Ben Reichardt, Cory Heilmann, Yvonne Lai, Anita Spielman (1999 Geometry Group), Proofof the double bubble conjecture in R4 and certain higher dimensional cases http://www.williams.edu/Mathematics/published.html
Mathematical Recreations A notorious case is the double bubble conjecture, which states that the shapeformed when two bubbles coalesce consists of three spherical surfaces. http://www.fortunecity.com/emachines/e11/86/bubble.html
Is A Double Soap Bubble Stable? Is a double soap bubble stable? LA Slobozhanin J. Iwan D. Alexander. lion@mae.cwru.edu.The double bubble conjecture has been proved recently. http://www.eng.abdn.ac.uk/~apm2002/abstracts/Slobozhanin_Alexander-1/Slobozhanin
Stcon00 The double bubble conjecture says that the familiar double soap bubble providesthe leastarea way to enclose and separate two given volumes of air. http://home.moravian.edu/public/math/ClubsEvents/Conference/Archives/stcon00.htm
Michigan Undergraduate Mathematics Conference 2002 Double Bubble No More Trouble in November 2000 Math Horizons; Proof of thedouble bubble conjecture in March 2001 American Mathematical Monthly. http://www.calvin.edu/academic/math/mumc2002/
University Of Pittsburgh: Department Of Mathematics The problem of two bubbles, known as the double bubble conjecture, was solvedonly recently by J. Hass, M. Hutchings, and R. Schlafy.(The double bubble http://www.math.pitt.edu/articles/kelvin.html
MAA: Math Horizons--Subscribe On March 18, 2000 an international team of mathematicians announced a proof of thedouble bubble conjecture, which says that the familiar double soap bubble http://www.mathcs.carleton.edu/math_horizons/teasers11-00.html
Thomas C. Hales - The Kepler Conjecture The problem of two bubbles, known as the double bubble conjecture, was solved onlyrecently by J. Hass, M. Hutchings, and R. Schlafy.\footnote * % {The double http://pear.math.pitt.edu/PittMathZine/2001/fall/articles/kelvin.html
WPI Mathematical Sciences - Colloquia 2000-2001 Frank Morgan, Mathematics Department, Williams College, March 24 2000 Title Thedouble bubble conjecture 1100 am, Stratton Hall, Room 203; refreshments at 10 http://www.wpi.edu/Academics/Depts/Math/News-Events/colloqdetail99-00.html
WPI Mathematical Sciences - Events 1999-2000 In both talks, he described recent results on the double bubble conjecture, whichsays that the familiar double soap bubble is the leastarea way to enclose http://www.wpi.edu/Academics/Depts/Math/News-Events/events,99-00.html
Colloquium_abstracts The double bubble conjecture says that the familiar double soap bubble isthe leastarea way to enclose and separate two given volumes of air. http://www.wam.umd.edu/~jda/colloquium2_old.html
You Cant Hear The Shape Of A Drum (Carolyn Gordon Et Al http//www.pbs.org/wgbh/nova/proof/wiles.html. double bubble conjectureProved (Michael Hutchings et al. 2000), The double soap bubble http://www.mathsci.appstate.edu/mathclub/math.html
CRC Concise Encyclopedia Of Mathematics On CD-ROM: D Double Bubble; double bubble conjecture; Double Contraction Relation;Double Cusp; Double Exponential Distribution; Double Exponential http://www.math.pku.edu.cn/stu/eresource/wsxy/sxrjjc/wk/Encyclopedia/math/d/d.ht
BEAUTY For n = 2, the problems are called the double bubble conjecture and the solutionboth to the planar problem and the area problem is known to be the Double http://members.fortunecity.com/jonhays/beauty.htm
Bubble space. For , the problems are called the double bubble conjecture andthe solution to both problems is known to be the Double Bubble. http://mathworld.pdox.net/math/b/b428.htm
Stanford University Geometric Analysis Seminar 1999-2000 April 19 Michael Hutchings, Stanford University Title The double bubble conjectureAbstract The double bubble conjecture states that the leastarea way to http://math.stanford.edu/~moore/ga-sem99-00.html