{"id":2064,"date":"2009-03-31T21:01:50","date_gmt":"2009-03-31T13:01:50","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=2064"},"modified":"2014-11-16T20:23:40","modified_gmt":"2014-11-16T12:23:40","slug":"mathematica-player-and-arty-demonstrations","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/mathematics\/mathematica-player-and-arty-demonstrations-2064","title":{"rendered":"Mathematica Player and arty Demonstrations"},"content":{"rendered":"<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/03\/mathematica-cup.gif\" alt=\"mathematica cup\" title=\"mathematica cup\" width=\"130\" height=\"175\" class=\"imgRt\" \/>The <a href=\"http:\/\/www.wolfram.com\/cdf-player\/\">Mathematica Player<\/a> is a free download. It allows the user to interact with math objects made using the Mathematica computer algebra system.<\/p>\n<p>There is an extraordinary collection of such Mathematica objects &mdash; almost 5000 of them &mdash; in the <a href=\"http:\/\/demonstrations.wolfram.com\/\">Wolfram Demonstrations Project<\/a>.<\/p>\n<p>This download is really cool because you get a working Mathematica math engine. You can't create anything or save anything but you can play with all the math objects (by sliding sliders or otherwise changing numerical parameters) to explore a vast range of math and geometry. They give you an animation of each one, but it is much better to get the download since you can change the parameters however you like and you learn a lot more.<\/p>\n<p>The Demonstrations have been contributed by mathematicians all over the world. They cover the following topics:<\/p>\n<ul>\n<li>Mathematics<\/li>\n<li>Computation<\/li>\n<li>Physical Sciences<\/li>\n<li>Life Sciences<\/li>\n<li>Business & Social Systems<\/li>\n<li>Systems, Models, & Methods<\/li>\n<li>Engineering & Technology<\/li>\n<li>Our World<\/li>\n<li>Creative Arts<\/li>\n<li>Kids & Fun<\/li>\n<\/ul>\n<p>The following screen shots are from some of the demonstrations. I liked these ones for their artistic geometry.<\/p>\n<p>This one is called \"Line Art\":<\/p>\n<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/02\/mathematica-art.gif\" alt=\"mathematica art\" title=\"mathematica art\" width=\"349\" height=\"354\"  \/><\/p>\n<p>Next we have a 3-D demonstration of parabolic cylindrical coordinates:<\/p>\n<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/02\/mathematica-parabolic.gif\" alt=\"mathematica parabolic\" title=\"mathematica parabolic\" width=\"442\" height=\"330\" \/><\/p>\n<p>This is a circle formed from intersecting chords of a larger circle:<\/p>\n<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/02\/mathematica-circle.gif\" alt=\"mathematica circle\" title=\"mathematica circle\" width=\"312\" height=\"310\"  \/><\/p>\n<p>This next one is called \"Connected Astroids\". For those of you (like me) who are not sure what an astroid is, from <a href=\"https:\/\/en.wikipedia.org\/wiki\/Astroid\">Wikipedia<\/a>:<\/p>\n<blockquote>\n<p>An astroid is a hypocycloid with four cusps. Astroids are also superellipses: all astroids are scaled versions of the curve specified by the equation <i>x<\/i><sup>2\/3<\/sup> + <i>y<\/i><sup>2\/3<\/sup> = 1<\/p>\n<\/blockquote>\n<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/02\/mathematica-connected-astroids.gif\" alt=\"mathematica connected astroids\" title=\"mathematica connected astroids\" width=\"378\" height=\"381\"  \/><\/p>\n<p>Real Elliptic Curves arise from the intersection of a curve and a plane:<\/p>\n<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/02\/mathematica-real-elliptic-curve.gif\" alt=\"mathematica real elliptic curve\" title=\"mathematica real elliptic curve\" width=\"339\" height=\"240\"  \/><\/p>\n<p>So go download the Mathematica Player and start exploring all those thousands of Demonstrations. It's certainly worth it!<\/p>\n<p>That link again: <a href=\"http:\/\/www.wolfram.com\/cdf-player\/\">Mathematica Player<\/a>.<\/p>\n<p class=\"alt\">See the <a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/mathematica-player-and-arty-demonstrations-2064#comments\" id=\"comms\">2 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/mathematica-player-and-arty-demonstrations-2064\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/03\/mathematica.gif\" alt=\"mathematica\" title=\"mathematica\" width=\"128\" height=\"130\" class=\"imgRt\" \/><\/a>The free Mathematica Player allows you to interact with thousands of math objects, including some very artistic ones.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[4],"tags":[125,127],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/2064"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=2064"}],"version-history":[{"count":0,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/2064\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=2064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=2064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=2064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}