{"id":11,"date":"2017-12-06T14:12:30","date_gmt":"2017-12-06T14:12:30","guid":{"rendered":"http:\/\/sites.rutgers.edu\/professor-example\/?page_id=11"},"modified":"2017-12-06T15:16:09","modified_gmt":"2017-12-06T15:16:09","slug":"programs","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/daniel-balouek-thomert\/programs\/","title":{"rendered":"Programs"},"content":{"rendered":"<p>Here are some Mathematica programs to make the pictures and movies on this site. This is just for fun. Note: I&#8217;m a mathematician, not a computer programmer; these are done poorly, inefficiently, and poorly. They get the job done (sometimes). Right-click to download.<\/p>\n<ul>\n<li>Added 11\/04\/2013:\u00a0<a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/Traces.nb\" target=\"_blank\" rel=\"noopener\">For finding low-lying closed geodesics over a given real quadratic field\u00a0<\/a>.<\/li>\n<li>Added 10\/24\/2013:\u00a0<a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/BallBearings.nb\" target=\"_blank\" rel=\"noopener\">For drawing Apollonian-3 gaskets, dual configurations, and orbits<\/a>\u00a0(for Xin Zhang).<\/li>\n<li>Added 11\/30\/2011:\u00a0<a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/ZetaExplicitFormula.nb\" target=\"_blank\" rel=\"noopener\">For playing around with the Explicit Formula for the Riemann zeta function<\/a>. See the corresponding file for MAT 310 (Complex Analysis)\u00a0<a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/2011F310\/MAT310.pdf\" target=\"_blank\" rel=\"noopener\">here<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/UniformLattice.nb\" target=\"_blank\" rel=\"noopener\">For drawing the Dirichlet domain for a uniform lattice in SL(2,R)<\/a>. See the corresponding\u00a0<a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/files\/UniformLattice.pdf\" target=\"_blank\" rel=\"noopener\">expository note here<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/ApollCircDraw.nb\" target=\"_blank\" rel=\"noopener\">For drawing Apollonian gaskets<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/SoddySphDraw.nb\" target=\"_blank\" rel=\"noopener\">For drawing Soddy sphere packings<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/MarkoffZaremba.nb\" target=\"_blank\" rel=\"noopener\">For tiling the plane by geodesics (Markoff spectrum, Zaremba)<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/HausdorffZaremba.nb\" target=\"_blank\" rel=\"noopener\">For computing the Hausdorff dimension of certain Cantor sets (the Jenkinson-Pollicott algorithm), giving a counterexample to Hensley&#8217;s conjecture (a generalization of Zaremba)<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/EDHoroSpace.nb\" target=\"_blank\" rel=\"noopener\">For drawing low-lying horospheres in (infinite volume) hyperbolic space<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/EDHoroPlane.nb\" target=\"_blank\" rel=\"noopener\">For drawing low-lying horocycles in the hyperbolic plane<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/AffineSievePythag.nb\" target=\"_blank\" rel=\"noopener\">For drawing thin Pythagorean cones, labelled by primality of the hypotenuse, etc<\/a>.<\/li>\n<li><a href=\"http:\/\/sites.math.rutgers.edu\/~alexk\/maths\/3x1Play.nb\" target=\"_blank\" rel=\"noopener\">For drawing paths of the (3x+1)-Map<\/a>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Here are some Mathematica programs to make the pictures and movies on this site. This is just for fun. Note: I&#8217;m a mathematician, not a computer programmer; these are done &hellip; <a href=\"https:\/\/sites.rutgers.edu\/daniel-balouek-thomert\/programs\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-11","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Programs - Daniel Balouek-Thomert<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sites.rutgers.edu\/daniel-balouek-thomert\/programs\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Programs - Daniel Balouek-Thomert\" \/>\n<meta property=\"og:description\" content=\"Here are some Mathematica programs to make the pictures and movies on this site. 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