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Linkage

Jun 15, 2017

  • Zuse describes breadth-first search in 1945 (pp. 96–105 of link; G+) as noticed by Jeff Erickson. This is already 14 years earlier than the textbook date for the discovery of BFS, but Jeff thinks earlier instances are out there.

  • The Poincaré Homology Sphere. Evelyn Lamb explains what this space is and why it’s interesting.

  • Less is more (G+). This Crooked Timber post and its discussion raise an interesting philosophical question about academic productivity: Is it better to have a small number of publications, but only in top venues, or to have the same amount of top-venue productivity plus a lot of lower-level publications?

  • Dot grid paper for writing mathematics (G+). I’m thinking of switching from my habitual squared Moleskines to something nicer.

  • Squared squares video from Numberphile (G+). The recreational math problem that began Bill Tutte’s work in graph theory.

  • Self-similar polygonal tilings. Richard Green shares an image by Michael Barnsley and Andrew Vince of a quasiperiodic tiling with two similar prototiles, such that the whole tiling is similar to a subdivided copy of itself.

  • Lance Fortnow’s annual listing of which theoreticians are moving where, including the news that Vijay Vazirani is coming to UC Irvine! Here’s a related reddit post by a former student, calling Vijay “an amazing professor”, one of the best at his former institution.

  • UC Irvine recognized as a Hispanic Serving Institution. We’re better known for our even-bigger Asian population, but a quarter of our students are Hispanic/Latinx, and we’re one of only three top-100 research universities in the US to be distinguished in this way.

  • Does pigeonhole degrade gracefully? A new Stanford theory blog discusses a sharp phase change in the maximum number of almost-disjoint sets of a given size, as the size drops below roughly the square root of the total number of elements.

  • “A Puzzle of Clever Connections Nears a Happy End”, Quanta Magazine. Andrew Suk’s almost-complete solution to the happy ending problem, getting the correct exponential (\(2^n\) not \(4^n\)) for how many points in general position in the plane are needed to guarantee the existence of a convex \(n\)-gon.

  • Lebanese civil engineering professor with a valid visa and multiple past entries to the US denied entry to present his research at a conference. The sponsoring organization (ASCE) issued only a mealy-mouthed non-protest.

  • Joris Laarman’s Bone Chair. An early and pioneering work of generative design, a technique that is now becoming more commonplace and popular for its organic “art nouveau” forms and minimal use of materials. See the G+ post for several more recent generative design links.

  • Ruler, compass and helix constructions. From a post by @jherzli on mathstodon.xyz, a new social media platform for mathematicians.

  • David Eppstein

Geometry, graphs, algorithms, and more