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Things of interest in Maths & Science

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Two bubbles merge in an arrangement which minimises the total surface area, given the air stored in each compartment is equal to the original air in each bubble. [A single bubble is a sphere, which is the minimum surface are for a given volume.] The two compartments are parts of spheres, and the boundary between them is part of another sphere meeting the other walls at 120 degree angles. If the two bubbles were originally the same size, the boundary sphere has an infinite radius, giving a flat wall. Though it is a familiar picture to anyone who has blown bubbles, it was only proven that this was how double bubbles are made in 2002. [more1] [more2] [code]

Two bubbles merge in an arrangement which minimises the total surface area, given the air stored in each compartment is equal to the original air in each bubble. [A single bubble is a sphere, which is the minimum surface are for a given volume.] The two compartments are parts of spheres, and the boundary between them is part of another sphere meeting the other walls at 120 degree angles. If the two bubbles were originally the same size, the boundary sphere has an infinite radius, giving a flat wall. Though it is a familiar picture to anyone who has blown bubbles, it was only proven that this was how double bubbles are made in 2002. [more1] [more2] [code]

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    that is many kinds of cool. Also, you look exactly like my 10th grade math teacher.
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Matt Henderson

I post original stuff about maths, space, computational linguistics and other things that I like. This blog is meant to be accessible and interesting to people of all backgrounds. My undergrad was maths in Cambridge, and I'm now starting research in Speech and Language technology. Email me at If you're new, check out this overview of my posts. All code posted is in Mathematica.

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