Kaleidoscopic Bubbles

In a kaleidoscope of orange-coloured milk bubbles, it seems, at first glance, that there are an infinite variety of configurations that can be formed by joining milk bubbles; however, this is not the case. In reality, there are only 2 ways that milk bubbles, or any other bubbles, can physically join. When surfaces meet along curves, or when curves and surfaces meet at points, they do so at equal angles. When three surfaces meet along a curve, they do so at an angle of 120o with respect to one another. When 4 curves meet at a point, they do so at angles of 109.47o. These principles and basic rules are credited to Frederick Almgren, Jr. and Jean E. Taylor.

Matthew Kostanecki
St. Elizabeth Catholic High School, Richmond Hill, Ontario
1st Prize ( High School/CEGEP Class Project )
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