16 July 2012 @ 09:11 pm
Last week I was in Prague as one of four invited speakers at the EuroGIGA Midterm Conference; EuroGIGA is a big multi-investigator European research project on graphs, geometry, and algorithms.

My talk there was entitled "Möbius transformations, power diagrams, Lombardi drawings, and soap bubbles", and it announced the results of two papers that I've recently uploaded to the arXiv: "Planar Lombardi drawings for subcubic graphs" (arXiv:1206.6142) and "The graphs of planar soap bubbles" (arXiv:1207.3761).

I think it's easier to explain what I'm doing in the soap bubble one, so let's start with that. The following picture could not possibly be a (two-dimensional) soap bubble, but why not?

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02 December 2008 @ 06:17 pm
Another recently-opened math blog: Frank Morgan. As his Wikipedia article states, Morgan is a professor at Williams College, known for proving the double bubble conjecture: if one forms a soap-bubble configuration with two interior cells of given volumes, the way to do it with minimum surface area is the way you see real soap bubbles do it: three spherical patches meeting at 120-degree angles at a common circle. His blog has recent posts on whether P vs NP is the most important open question in mathematics, using the Golden ratio to judge facial beauty, integer sequences with specified sums and few gaps, and many other varied mathematical topics.