Roice's G+ Posts

All of these talks are available to watch at the link below! Found this via decor light just in time for the long holiday weekend :) Originally shared by Chandan Dalawat What's Next? The mathematical legacy of Bill Thurston Bill Thurston introduced new ways of thinking about and of seeing mathematics that have had a profound influence on the entire mathematical community. Mathematicians from a broad spectrum of areas gathered June 23-27, 2014 to describe recent advances and explore future directions motivated by Thurston's transformative ideas.  Yair Minsky: Relative and absolute bounds on skinning maps Rick Kenyon: Discrete analytic functions and integrability Alan Reid: Arithmetic hyperbolic manifolds John Milnor: Hyperbolic component boundaries Benson Farb: Homology, representation theory, and Bill Anton Zorich: Lyapunov exponents and diffusion in periodic billiards Dusa McDuff: Thurston's work on contact and symplectic geometry Kelly Delp: Playing with surfaces Miche...

This is very cool. I suspect it may influence some thinking I've been doing lately about the Klein Quartic. Originally shared by Gerard Westendorp I figured out a way to understand Golay codes, and their relation to the Leech lattice, M24, and the Klein Quartic. I just completed this website: http://westy31.home.xs4all.nl/Golay/GolayCodeAndSymmetry.html Golay codes are used in space communication to as a way to send data with built-in error correction. You can construct the Golay code by imagining 12 data bits on the respective 12 pentagonal faces of the great dodecahedron. Then on each of the 12 vertices, put a parity bit that is the parity sum over all face bits that are not connected to the vertex. That's it! Note that there are 7 of these faces, and each of the 12 faces has 7 parity bits related to it, so there is th 24-7 connection to the Klein Quartic.

Sarah Nemec-Nelson and I went from 2 cars to 1 almost 10 years ago, and it is has been a positive life change.  Oh how I would like to continue and go to 0 (so difficult in Texas, though Austin downtown has improved in the last decade).   This is an excellent essay on what we give up by being so car-centric. Originally shared by Antonia Malchik I imagine there are a lot of walkers in this network. Access to walking has ramifications for our health and sense of humanity. It's integral to our evolution. Yet we're losing it, especially in poorer areas of the country. "The End of Walking," a piece I wrote for Aeon. http://aeon.co/magazine/society/step-by-step-americans-are-sacrificing-the-right-to-walk/

Originally shared by Henry Segerman Kelly Delp, Saul Schleimer, Laura Taalman and I are organizing a workshop at ICERM next summer, on illustrating mathematics with various digital media. Researchers and practitioners will share their expertise, both in mathematics and with procedural tools used to illustrate mathematics. http://icerm.brown.edu/topical_workshops/tw16-1-im/

The first link takes you to nice writeup of Bridges conference highlights by Annette Emerson. Originally shared by American Mathematical Society Bridges 2015: a gathering of mathematicians, artists, educators, musicians, poets, computer scientists, sculptors, dancers, weavers and model builders from around the world. John H. Conway and Ingrid Daubechies gave plenary talks, and there were sessions, workshops, art exhibition, performances, Family Day, and exhibits. Whether you were there or not, see highlights of this wonderful conference on mathematics connections in art, music, and science at http://bit.ly/1UB13BL , and see works by some of the participants on Mathematical Imagery at http://bit.ly/1UB15JW .

After 30 years since the last was found, a new convex pentagonal tiling is discovered! Originally shared by David Eppstein A complete description of the convex pentagons that tile the plane is still unknown (see https://en.wikipedia.org/wiki/Pentagon_tiling ). It caused a sensation in the mid-1970s when housewife Marjorie Rice, inspired by Martin Gardner's columns, found several more, and since 1985 the number of known tiling types has stood at 14. But not any more: Casey Mann, Jennifer McLoud, and David von Derau, all of the University of Washington Bothell, have found a 15th type, shown below. For a brief announcement, including what looks like a screenshot of a brief writeup by the authors (that I can't find directly), see  https://twitter.com/gelada/status/626810879435083776 The image below is from  http://www.jaapsch.net/tilings/ , an applet for manipulating various tilings including these ones. http://www.jaapsch.net/tilings/images/large/P5-type15.png

It was fantastic to attend the Bridges math-art conference for the first time this year, and to see many of the talks about these artworks in person. If you'd like to read the papers that go along with them, check out the bridges archive here: http://archive.bridgesmathart.org Originally shared by Michael Kleber Great gallery of pictures from this year's Bridges conference.  Bridges celebrates the connections between math and art.  The art has changed a lot over the last 15+ years, with as much laser cutting and 3D printing as you might expect.  But there is lots of lovely technology-free math art as well. http://www.theguardian.com/science/alexs-adventures-in-numberland/gallery/2015/jul/30/bridges-2015-a-meeting-of-maths-and-art-in-pictures