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ARCHITECTURAL BUBBLE MIMICRY. "Due to these qualities soap bubbles films have been used with practical problem solving application. Structural engineer Frei Otto used soap bubble films to determine the geometry of a sheet of least surface area that spreads between several points, and translated this geometry into revolutionary tensile roof structures. A famous example is his West German Pavilion at Expo 67 in Montreal." https://lnkd.in/d5zN4He View in LinkedIn

FOAMS. "Physical effects drive these interfaces around, and the complexity has to do with the fact that the mechanics occur on a wide range of time and space scales ... It's challenging to build numerical models that allow you to couple these wildly different scales together so that they talk to each other in a way that's accurate and physically reasonable." https://lnkd.in/dGWCSXR View in LinkedIn

HEXAGONAL BUBBLES. "When two bubbles meet, they will merge walls to minimize their surface area. If bubbles that are the same size meet, then the wall that separates them will be flat. If bubbles that are different sizes meet, then the smaller bubble will bulge into the large bubble. If bubbles that are different sizes meet, then the smaller bubble will bulge into the large bubble. Bubbles meet to form walls at an angle of 120°. If enough bubbles meet, the cells will form hexagons." https://lnkd.in/d7g3Avs View in LinkedIn

MULTIPLE BUBBLE PROBLEMS. "Over the past few decades, mathematicians have become increasingly interested in “multiple bubble problems.” These problems ask which figure among all those that separately contain a given number of volumes has the least surface area." http://jur.byu.edu/?p=3684 View in LinkedIn

DOUBLE BUBBLE PROBLEM. "In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2π/3 on a common circle." https://lnkd.in/dnPcbKg View in LinkedIn

DOUBLE BUBBLE PROBLEM. "In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2π/3 on a common circle. It is now a theorem, as a proof of it was published in 2002." https://lnkd.in/dnPcbKg View in LinkedIn

DOUBLE BUBBLE PROBLEM. "In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2π/3 on a common circle. It is now a theorem, as a proof of it was published in 2002." https://lnkd.in/dnPcbKg View in LinkedIn

IN REMISSION. "Few individuals ever truly recover from obesity ... Those that do ... "still have 'obesity in remission,' and are biologically very different from individuals of the same age, sex and body weight who never had obesity." They are constantly at war with their bodies' efforts to return to their highest sustained weight." https://lnkd.in/d9duDay View in LinkedIn

THE SYSTOLE. "In geometry, the systole refers to the shortest closed curve around the surface of a 3D object. The researchers found that the systole's properties can determine where on the surface the singularity will occur. If the systole loops around the wire frame, for instance, the singularity will occur at the wire frame -- as in the Mobius strip -- but if it does not, then the singularity will occur at the surface's bulk." https://lnkd.in/dX6zRsR View in LinkedIn

THE HUMAN BODY "will respond to weight loss by powering down its use of calories as fuel, pumping out hormones to increase hunger, boosting fat storage capacity, and tricking the brain to demand overconsumption." https://lnkd.in/d9duDay View in LinkedIn