MetaFilter posts tagged with Math and fractals
http://www.metafilter.com/tags/Math+fractals
Posts tagged with 'Math' and 'fractals' at MetaFilter.Sun, 06 Jul 2014 10:26:08 -0800Sun, 06 Jul 2014 10:26:08 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60musical mathematical journeys
http://www.metafilter.com/140588/musical%2Dmathematical%2Djourneys
<a href="http://vimeo.com/channels/bkcfilms/98290488">Trio for Three Angles</a> (1968) is one of many beautiful acclaimed visually-oriented short films with music by <a href="http://www.afana.org/cornwell.htm">mathematical filmmakers Bruce and Katharine Cornwell</a>, some animated by hand and some using early digital technology. It inspired three sequels: <a href="http://vimeo.com/channels/bkcfilms/98290491">Similar Triangles</a> (1975), <a href="http://vimeo.com/channels/bkcfilms/98290485">Congruent Triangles</a> (1976), and <a href="http://vimeo.com/channels/bkcfilms/98297985">Journey to the Center of a Triangle</a> (1978) (<a href="http://www.metafilter.com/94416/Quasihypnotic-mathematical-construct">previously</a>). <a href="http://vimeo.com/channels/bkcfilms">Other extant films by the couple</a>, recently generously released by their sons Eric and Scott Cornwell under a Creative Commons license "to encourage artists, educators, and others to give these images new life", are:
<ul><li><a href="http://vimeo.com/channels/bkcfilms/98290486">The Seven Bridges of Königsberg</a> (1958), on Leonard Euler's famous solution to the topological problem</li>
<li><a href="http://vimeo.com/channels/bkcfilms/98297987">Possibly So, Pythagoras</a> (1963), using the patterns of a tile floor to demonstrate the Pythagorean Theorem</li>
<li><a href="http://vimeo.com/channels/bkcfilms/99488699">How Do You Count</a> (1963), on counting in bases 2, 3, 4, 10, 12, and more</li>
<li><a href="http://vimeo.com/channels/bkcfilms/98297986">Newton's Equal Areas</a> (1967), an elegant visual demonstration of Newton's proof of Kepler's Second Law</li>
<li><a href="http://vimeo.com/channels/bkcfilms/98501883">Circle Circus</a> (1978), featuring ten ways to draw a circle</li>
<li><a href="http://vimeo.com/channels/bkcfilms/98285334">Dragon Fold</a> (1978), on fractals</li></ul> tag:metafilter.com,2014:site.140588Sun, 06 Jul 2014 10:26:08 -0800berylliumVisualizing Numbers with WebGl
http://www.metafilter.com/129886/Visualizing%2DNumbers%2Dwith%2DWebGl
<a href="http://acko.net/blog/how-to-fold-a-julia-fractal/">How To Fold a Julia Fractal.</a> A beautiful interactive introduction to complex numbers, fractals and waves. <small>(Requires <a href="http://en.wikipedia.org/wiki/WebGL">WebGL</a>)</small>. <a href="http://acko.net/blog/to-infinity-and-beyond/">To Infinity And Beyond</a> is a similar introduction to calculus. tag:metafilter.com,2013:site.129886Thu, 11 Jul 2013 04:17:33 -0800empathThat which does not kill us makes us stronger
http://www.metafilter.com/109188/That%2Dwhich%2Ddoes%2Dnot%2Dkill%2Dus%2Dmakes%2Dus%2Dstronger
<tt>> <a href="http://www.ansible.co.uk/writing/c-b-faq.html">comp.basilisk - Frequently Asked Questions</a> :: <b>Is it just an urban legend that the first basilisk destroyed its creator?</b><br>
Almost everything about <a href="http://books.google.com/books?id=5d9hHvD-T7gC&dq=%22What%20Happened%20at%20Cambridge%20IV%22&q=%22What%20Happened%20at%20Cambridge%20IV%22#v=onepage&q=%22What%20Happened%20at%20Cambridge%20IV%22&f=false">the incident at the Cambridge IV supercomputer facility</a> where Berryman conducted his last experiments has been suppressed and classified as highly undesirable knowledge. It's generally believed that Berryman and most of the facility staff died. Subsequently, copies of basilisk B-1 leaked out. This image is famously known as <a href="http://data.tumblr.com/13741903_500.jpg">the Parrot</a> for its shape when blurred enough to allow safe viewing. B-1 remains the favorite choice of <a href="http://www.infinityplus.co.uk/stories/blit.htm">urban terrorists who use aerosols and stencils</a> to spray basilisk images on walls by night. <a href="http://www.readability.com/read?url=http://www.greenfield.narod.ru/langford_eng/differ_kind.html">But others were at work on Berryman's speculations...</a></tt> (The quoted FAQ section was too pithy a summary to pass up, but it did constrain the order I could put the links in. So if you don't have time to read everything, I'll just note that the last and second-to-last links are IMHO the best content in the post, in that order.)
<small>Also: <a href="http://tgstation13.servehttp.com/phpBB3/download/file.php?id=425&sid=645ea8302cd678f7059a0322103194fd">Boo!</a></small> tag:metafilter.com,2011:site.109188Sun, 06 Nov 2011 15:07:13 -0800RhaomiFinite formula found for partition numbers
http://www.metafilter.com/99788/Finite%2Dformula%2Dfound%2Dfor%2Dpartition%2Dnumbers
<a href="http://esciencecommons.blogspot.com/2011/01/new-theories-reveal-nature-of-numbers.html">New math theories reveal the nature of numbers</a> [<a href="http://www.aimath.org/news/partition/folsom-kent-ono.pdf">1</a>,<a href="http://www.aimath.org/news/partition/brunier-ono.pdf">2</a>] - "We prove that <a href="http://blogs.plos.org/badphysics/2011/01/20/ono/">partition numbers</a> are 'fractal' for every prime. <a href="http://www.science20.com/news_articles/partition_numbers_behave_fractals_says_mathematician-75556">These numbers</a>, in a way we make precise, are <a href="http://hiddencause.wordpress.com/2011/01/20/pn-is-a-fractal-when-n-is-prime/">self-similar</a> in a shocking way. Our 'zooming' procedure resolves several open conjectures, and it will change how mathematicians study partitions." (<a href="http://science.slashdot.org/story/11/01/21/2047229/Eulers-Partition-Function-Theory-Finished">/.</a>|<a href="http://economistsview.typepad.com/economistsview/2011/01/links-for-2011-01-20.html">via</a>) BONUS
<li><a href="http://arstechnica.com/science/news/2011/01/fractals-plus-quantum-mechanics-equals-chaos.ars">Fractals plus quantum mechanics equals chaos</a> - "investigating the properties of light when it is confined to a fractal object"
<li><a href="http://science.slashdot.org/story/11/01/20/1546206/Polynomial-Time-Code-For-3-SAT-Released-PNP">Polynomial Time Code For 3-SAT Released</a> - "This is not a P=NP paper."</li></li> tag:metafilter.com,2011:site.99788Sat, 22 Jan 2011 10:40:18 -0800kliulessWould you like to buy an fuzzy multi-instanton knot?
http://www.metafilter.com/76467/Would%2Dyou%2Dlike%2Dto%2Dbuy%2Dan%2Dfuzzy%2Dmultiinstanton%2Dknot
<a href="http://golem.ph.utexas.edu/category/2008/11/the_case_of_m_s_el_naschie.html">"...the best place to hide bulls**t is in a refereed journal that’s not open-access!"</a> The math-physics blog <a href="http://golem.ph.utexas.edu/category/">n-category cafe</a> digs into <a href="http://golem.ph.utexas.edu/category/2008/11/the_case_of_m_s_el_naschie.html">the curious case of M.S. El Naschie.</a> El Naschie is editor-in-chief of the journal <a href="http://www.elsevier.com/wps/find/journaldescription.cws_home/967/description#description">Chaos, Solitons, and Fractals</a>, published by the well-respected scientific publisher Elsevier and sold to academic libraries for US$4,520 a year. The problem? El Naschie has published 322 of his own papers in the journal -- papers that John Baez (of <a href="http://math.ucr.edu/home/baez/TWF.html">"This Week's Finds in Mathematical Physics"</a> and <a href="http://math.ucr.edu/home/baez/crackpot.html">"The Crackpot Index"</a>) describes as "vague, dreamlike imagery," "undisciplined numerology larded with impressive buzzwords," and "total baloney." Is El Naschie a reverse <a href="http://en.wikipedia.org/wiki/Sokal_affair">Sokal</a>? Or <a href="http://pdos.csail.mit.edu/scigen/">a Markov process for producing random publishable papers?</a> One thing's for sure -- <a href="http://www.57357.com/Activities/Events/tabid/229/mid/661/newsid661/407/Default.aspx">he knows how to cure cancer.</a> tag:metafilter.com,2008:site.76467Wed, 12 Nov 2008 07:56:25 -0800escabecheCut The Knot
http://www.metafilter.com/67078/Cut%2DThe%2DKnot
<a href="http://www.cut-the-knot.org/content.shtml">Interactive mathematics miscellany and puzzles</a>, including <a href="http://www.cut-the-knot.org/pythagoras/index.shtml">75 proofs</a> of the Pythagorean Theorem, an <a href="http://www.cut-the-knot.org/ctk/index.shtml">interactive column</a> using Java applets, and <a href="http://www.cut-the-knot.org/pythagoras/tricky.shtml">eye-opening demonstrations</a>. (Actually, <a href="http://www.cut-the-knot.org/Curriculum/index.shtml">much more</a>.) tag:metafilter.com,2007:site.67078Sat, 01 Dec 2007 23:52:10 -0800parudoxGallery
http://www.metafilter.com/57027/Gallery
<a href="http://www.math.harvard.edu/~ctm/gallery/cx/nowhere.gif">Riemann's Curve</a> , <a href="http://www.math.harvard.edu/~ctm/gallery/cx/foils.gif">Airfoils</a>, <a href="http://www.math.harvard.edu/~ctm/gallery/movies/cxfns.mov.gif">Complex Roots</a>, <a href="http://www.math.harvard.edu/~ctm/gallery/">More</a>. tag:metafilter.com,2006:site.57027Thu, 14 Dec 2006 18:38:48 -0800KwantsarMandelbrot on Fractals as A Theory of Roughness.
http://www.metafilter.com/56677/Mandelbrot%2Don%2DFractals%2Das%2DA%2DTheory%2Dof%2DRoughness
A talk with <a href="http://en.wikipedia.org/wiki/Benoît_Mandelbrot">Benoît Mandelbrot</a>, entitled <a href="http://mitworld.mit.edu/video/52">Fractals in Science, Engineering and Finance (Roughness and Beauty)</a> [video, 80mins, realplayer] about fractals as <a href="http://www.edge.org/3rd_culture/mandelbrot04/mandelbrot04_index.html">A Theory of Roughness</a>. tag:metafilter.com,2006:site.56677Sun, 03 Dec 2006 00:32:37 -0800MetaMonkey