artful007 asked:
Hello, Did you have Pharoe's Breastplate in mind on one of your graphics ?
No, but thanks for telling me about it!
Dawn
Quanta magazine explainer on the Riemann Hypothesis that I contributed a number of animations to.
Between
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Cross Sections
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Inspired by Craig Kaplan’s Swirled Series, though far too late and in the wrong format.
Performance of the Uniform Closure Method for open knotting as a Bayes-type classifier →
In which we see that (at least under certain circumstances) uniform closure is a very good proxy for the optimal Bayesian classifier for open knotting. This was a surprise to me!
Distributions of Distances and Volumes of Balls in Homogeneous Lens Spaces →
A second paper with Chris Peterson and our student Brenden Balch on distances between random points in interesting manifolds. This time we’re looking at lens spaces; here’s a cartoon picture of a lens space:
Radius of Gyration, Contraction Factors, and Subdivisions of Topological Polymers →
Continuing our development of a simple mathematical model for topological polymers. In this paper we relate the expected size of a random embedding of an arbitrary graph to spectral data associated to the graph, and give an exact value in the thermodynamic limit.
It’s probably a good sign when a number you can compute by hand correlates this well with molecular dynamics simulations that took dozens of hours to run on a supercomputer:
Rise
Vanishing Point
Nines