Roice's G+ Posts

Originally shared by Henry Segerman For the last year and a half, I have been working on a book, to be published by Johns Hopkins University Press. It will be a popular mathematics book, hopefully accessible to everyone. The twist is that whenever it makes sense, figures in the book will be photos of 3D prints that readers can download and print for themselves, buy online, or rotate around on screen. The book will hopefully be out around September 2016. If you'd like a sneak peek, the work-in-progress website for the book (thanks Jared Shay for helping me with it!) is at: http://3dprintmath.com http://3dprintmath.com

Originally shared by American Mathematical Society "How many different dodecahedra can you get by continuing to take "twins"? Infinitely many! This image by Roice Nelson shows the vertices of a dodecahedron, its twins, the twins of its twins, the twins of the twins of its twins,..." John Baez explores "Twin Dodecahedra" on the Visual Insight Blog at http://bit.ly/1AqH1P2 . http://blogs.ams.org/visualinsight/2015/05/01/twin-dodecahedra/?utm_content=bufferd6912&utm_medium=social&utm_source=plus.google.com&utm_campaign=buffer

Originally shared by Melinda Green Matt's whole talk is interesting but you can skip over segments that don't interest you. Just be sure to watch to the end. Why? Spoiler alert! He goes from Möbius strips to Rubik's cubes to 4D visualization, and ends by showing off my 4D Rubik's cube! He closes with a glimpse of a 5D version by a collaborator on the 4D puzzle. (That's you, Roice!) At that point he stops because he knows that all of the brains in his audience are completely blown. This is understandable though something of a shame because other members of our community have created even more spectacularly complex twisty puzzles in up to seven dimensions, hyperbolic 3-spaces, and even dimensionless abstract polyhedra. And yes, all of these have been solved. There seems to be no limit to the levels of insanity in puzzle building and puzzle solving. All of these puzzles are linked from the main 4D cube page here http://superliminal.com/cube/cube.htm https://www.youtub...

An art piece by Henry Segerman and myself titled Hyperbolic Catacombs is now part of an AMS mathematical imagery album! We originally submitted it to the 2015 JMM art exhibition, and you can see that full exhibition here: http://gallery.bridgesmathart.org/exhibitions/2015-joint-mathematics-meetings Originally shared by American Mathematical Society The AMS announces two new albums on Mathematical Imagery: Selected works from the 2015 Mathematical Art Exhibition, a collection of stunning works made with paper, wood, crochet, lace, ceramics, beads, plastic and software ( http://bit.ly/1GI7NrO ), and Vizzie Winners, award-winning mathematical images in the National Science Foundation and Popular Science Visualization Challenge ( http://bit.ly/1GI7M7m ).

Good films about maths are rare ... George Csicsery (pronounced "Chi-cherry") has produced not one, but 13 elegant films (list below) about mathematicians & mathematics .  In his own words "Working with mathematicians is a great source of pleasure. It is the only group I know, where the answer 'I don't know' is met with excitement and motivation rather than with irritation. I hope that some of this excitement and passion filters through the film to audiences." [a]      Below, the 13 films .  Just watching the trailers is rewarding.  If you've never met a mathematician, these should give you a personal look into the very diverse worlds of some great modern mathematicians and to see the humanity behind the thinking.  If you're a mathematician or love mathematics, these are inspiring.      [1]  Counting from Infinity: Yitang Zhang & the Twin Prime Conjecture (2015)     The central challenge of the film was finding a way to depict Yitang Zh...

I enjoyed this talk, especially the latter part.  It was interesting to hear about all the thought that has gone into hyperbolic manifolds with infinite volume and "exotic manifolds" that are "geometrically infinite" (a distinction I do not yet understand).  Thanks for your post Refurio Anachro! Originally shared by Refurio Anachro The Royal Institution was founded in 1799, and since the beginning it has been supporting public engagement with science. In their gorgeous premises they've been hosting the "Friday Evening Discourses" pop science lectures since 1825, nowadays recorded on video for you to watch. Those are for everyone and it's not unusual for them to have many kids in the audience. A recent one is "Topology, Geometry and Life in Three Dimensions" given by Caroline Series . She is striving hard to explain William Thurston 's geometrization conjecture for the uninitiated, and it's the first recording where i saw the au...

Originally shared by Layra Idarani Rubik's Klein Quartic And other shapes The usual Rubik's Cube is a cube cut up into smaller cubes, called "cubies", identical to each other. The basic move on a Rubik's cube is to rotate an nxnxn1 layer of cubies around its central point on an axis parallel to the short side of the layer. The interesting behavior comes from the fact that the layers intersect. Suppose we inflate the cube like a balloon. The overall shape becomes a sphere, and the cuts that separate piece from piece and layer from layer become rounded. In fact, just assume that the cuts are circular, like latitude lines not centered at the North or South pole. Solving this sphere is just the same as solving a regular Rubik's cube; we didn't change the coloring or the allowable moves or how the layers intersect, we just changed the shapes of the individual pieces. Now we've got the setup for a fairly general "twisting puzzle", just a sphere wit...