Roice's G+ Posts

Here's an atypical conformal model of the hyperbolic plane. The Poincaré disk is mapped to the entire plane via the Joukowsky transformation ( https://www.johndcook.com/blog/2016/01/31/joukowsky-transformation/ ), compressing the boundary-at-infinity to the interval [-1,1] on the real axis. Has this model appeared in the literature? If so, what is it named?

Originally shared by David Eppstein This artwork by Robert Bosch draws a picture of Königsberg and its seven bridges as an Eulerian graph on the points of a grid. It's only one of many many impressive and interesting pieces of mathematical art in the Bridges 2018 gallery, http://gallery.bridgesmathart.org/exhibitions/2018-bridges-conference http://gallery.bridgesmathart.org/exhibitions/2018-bridges-conference/bobb

Originally shared by Gerard Westendorp This Youtube clip has only 39 views. It was filmed in the 60's, and it stars Coxeter on reflections . Worth watching. https://www.youtube.com/watch?v=xdm0BITxU2M

Visualizing hyperbolic honeycombs talk Henry Segerman gave this talk a few days ago at the Bridges 2018 conference. I think he did a great job sharing the concepts in our JMA paper! https://www.youtube.com/watch?v=YpKWa8vrULk&feature=share

Uniform tilings of the hyperbolic plane by Basudeb Datta and Subhojoy Gupta Abstract. A uniform tiling of the hyperbolic plane is a tessellation by regular geodesic polygons with the property that each vertex has the same vertex-type, which is a cyclic tuple of integers that determine the number of sides of the polygons surrounding the vertex. We determine combinatorial criteria for the existence, and uniqueness, of a uniform tiling with a given vertex type, and pose some open questions. https://arxiv.org/abs/1806.11393 h/t Henry Segerman for sharing with me.

Originally shared by Saul Schleimer The Illustrating Mathematics programme, to run at ICERM in Fall 2019, has five postdoctoral positions now posted on MathJobs. Please consider applying yourself, or telling your colleagues about these positions. https://icerm.brown.edu/programs/sp-f19/ https://www.mathjobs.org/jobs/jobs/11969 https://www.mathjobs.org/jobs/jobs/11969