Roice's G+ Posts

This is exciting! Gil's post doesn't actually say what the densest sphere packings in dimensions 8 and 24 are, but if you click through to the paper abstracts, they are the packings based on the E8 lattice and the Leech lattice. I wonder if this was the result mathematicians expected? Thanks David Eppstein for the reshare. Originally shared by Gil Kalai https://gilkalai.wordpress.com/2016/03/23/a-breakthrough-by-maryna-viazovska-lead-to-the-long-awaited-solutions-for-the-densest-packing-problem-in-dimensions-8-and-24/ https://gilkalai.wordpress.com/2016/03/23/a-breakthrough-by-maryna-viazovska-lead-to-the-long-awaited-solutions-for-the-densest-packing-problem-in-dimensions-8-and-24

It's been an exciting (and somewhat sleep deprived) week watching these games. Melinda Green has some positive thoughts on the outcome of the match. Originally shared by Melinda Green Here is the board position and Lee Sedol at the moment when he resigned the match to AlphaGo. You'll be hearing a lot about this stunning achievement in the news with some people gushing about the technology and others wailing about the blow to humanity's collective ego. I'd like to offer another perspective on what I think it all means. Yes, it's the end of an era, but it's also the beginning of an amazing new one. But not the age of SkyNet and killer robots, though certainly some of that is coming, and definitely not the end of human dominance and evolution. I like to think of our artificially intelligent creations as our silicon children. And just like all good parents hope for their children to do better than they did, I feel very proud at this moment and want to celebrate that

These are beautiful.  This particular folding reminded me of a snub {7,3} hyperbolic tiling, like here: www.plunk.org/~hatch/HyperbolicTesselations/3_7_snub_512x512.gif It's very different though (the triangles don't have the same edge length as the heptagons, for one), so now I'm wondering if there is a hyperbolic tiling like this. Thanks Jacob Dix for the reshare. Originally shared by Jenny Winder http://illusion.scene360.com/art/91610/robby-kraft-origami/

Anyone in the Austin area want to come over and watch the mind versus machine kick off tomorrow? Or should I say mind verses mind? This is historic in my opinion. I'll be watching, so let me know! Originally shared by Alan Boyle Watch the human-vs.-machine Go showdown online ... or "go" to a game party in Seattle:  http://www.geekwire.com/2016/seattle-go-google-deepmind-alphago-lee-sedol