Tumblr (3.0; @polytopes)http://polytopes.tumblr.com/<iframe width="400" height="300" src="http://www.youtube.com/embed/co7AgQ8KzTQ?wmode=transparent&autohide=1&egm=0&hd=1&iv_load_policy=3&modestbranding=1&rel=0&showinfo=0&showsearch=0" frameborder="0" allowfullscreen></iframe><br/><br/><p>deceptively slow motion cymatic capture</p> <p>camera speed @ 60fps</p>http://polytopes.tumblr.com/post/48539962647http://polytopes.tumblr.com/post/48539962647Sun, 21 Apr 2013 13:43:00 -0400<img src="http://25.media.tumblr.com/tumblr_m67kkuhlAW1qc38e9o1_500.jpg"/><br/><br/>http://polytopes.tumblr.com/post/44663273817http://polytopes.tumblr.com/post/44663273817Tue, 05 Mar 2013 18:56:00 -0500<img src="http://25.media.tumblr.com/c388601f7b7427f62dea9017b4994ee6/tumblr_mimdab99UJ1qdgqijo1_500.jpg"/><br/><br/>http://polytopes.tumblr.com/post/44290946995http://polytopes.tumblr.com/post/44290946995Fri, 01 Mar 2013 08:00:40 -0500cellautomataglitchmountainscenery<img src="http://25.media.tumblr.com/fbe8c8af21bb17b9406121478baabf1b/tumblr_mimculmLtu1qdgqijo1_r1_500.png"/><br/><br/>http://polytopes.tumblr.com/post/43980477838http://polytopes.tumblr.com/post/43980477838Mon, 25 Feb 2013 08:00:00 -0500cellpermutation8patternmathorder<img src="http://24.media.tumblr.com/2f655cfce7106ac3af11b008e7065c67/tumblr_mhp89mEMbr1qdgqijo1_500.jpg"/><br/> <br/><img src="http://25.media.tumblr.com/7b8a5e44e880895c7308725ad9357ef1/tumblr_mhp89mEMbr1qdgqijo2_500.jpg"/><br/> <br/><img src="http://25.media.tumblr.com/93eb6e23ece409e06ed563e4b2331a16/tumblr_mhp89mEMbr1qdgqijo3_500.jpg"/><br/> <br/><img src="http://24.media.tumblr.com/3c5c6c8856554934560b0c9a00143f2e/tumblr_mhp89mEMbr1qdgqijo4_500.jpg"/><br/> <br/><img src="http://24.media.tumblr.com/b5014bbd9006867df460de4725df8f6c/tumblr_mhp89mEMbr1qdgqijo5_500.jpg"/><br/> <br/><img src="http://25.media.tumblr.com/f268314dea4848278574cc37a8050d17/tumblr_mhp89mEMbr1qdgqijo6_500.jpg"/><br/> <br/><img src="http://25.media.tumblr.com/8ec108744a4f085f91c18821d9b43fab/tumblr_mhp89mEMbr1qdgqijo7_500.jpg"/><br/> <br/><p><em>Perspectiva Corporum Regularium,</em> Wenzel Jamnitzer (1508-1585)</p>http://polytopes.tumblr.com/post/42273703747http://polytopes.tumblr.com/post/42273703747Mon, 04 Feb 2013 09:00:00 -0500polyhedrasolidIllustrationgeometry<img src="http://25.media.tumblr.com/dc2b4d5c066cbd9f6022d8427fe58d8c/tumblr_mhlswzuNIY1qfg7o3o1_r1_400.gif"/><br/><br/><p><a class="tumblr_blog" href="http://blog.matthen.com/post/42112703604/the-smooth-motion-of-rotating-circles-can-be-used">matthen</a>:</p> <blockquote> <p>The <strong>smooth motion of rotating circles</strong> can be used to build up <strong>any repeating curve</strong> even one as angular as a <strong>digital square wave</strong>. Each circle spins at a multiple of a <strong>fundamental frequency</strong>, and a method called <strong>Fourier analysis</strong> shows how to pick the radiuses of the circles to make the picture work. <strong>Decomposing signals</strong> like this lies at the heart of a lot of <strong>signal processing</strong>. [<a href="http://math.stackexchange.com/questions/1002/fourier-transform-for-dummies" title="Not that you're a dummy">more</a>] [<a href="http://pastebin.com/JED9UEHy" title="Code to make this in Mathematica">code</a>]</p> </blockquote>http://polytopes.tumblr.com/post/42129911294http://polytopes.tumblr.com/post/42129911294Sat, 02 Feb 2013 16:36:58 -0500<img src="http://24.media.tumblr.com/0f7303a8c85785e705ef6ae36424ef95/tumblr_mhizvxmaUy1qdgqijo1_500.png"/><br/> <br/><img src="http://25.media.tumblr.com/a15534b205311987a24303157a359856/tumblr_mhizvxmaUy1qdgqijo2_500.png"/><br/> <br/><p>what’s in a GIF</p>http://polytopes.tumblr.com/post/42013969157http://polytopes.tumblr.com/post/42013969157Fri, 01 Feb 2013 05:00:00 -0500GIFDIYanimationhack<img src="http://25.media.tumblr.com/tumblr_meni6qcvhQ1qdgqijo1_500.png"/><br/><br/><p><span>r = cos(θ*n/d)</span></p>http://polytopes.tumblr.com/post/37393198979http://polytopes.tumblr.com/post/37393198979Fri, 07 Dec 2012 02:59:13 -0500<img src="http://25.media.tumblr.com/tumblr_mdre87Bf9S1qdgqijo1_500.jpg"/><br/> <br/><img src="http://25.media.tumblr.com/tumblr_mdre87Bf9S1qdgqijo2_400.jpg"/><br/> <br/><p>When a magnitude 6.8 earthquake shook Olympia, Wash., in 2001, shopowner Jason Ward discovered that a sand-tracing pendulum had recorded the vibrations in the image above.</p> <p>Seismologists say that the “flower” at the center reflects the higher-frequency waves that arrived first; the outer, larger-amplitude oscillations record the lower-frequency waves that arrived later.</p>http://polytopes.tumblr.com/post/36098729281http://polytopes.tumblr.com/post/36098729281Mon, 19 Nov 2012 18:53:39 -0500<img src="http://24.media.tumblr.com/tumblr_mdbisjx98h1qdgqijo1_500.jpg"/><br/><br/>http://polytopes.tumblr.com/post/35546558511http://polytopes.tumblr.com/post/35546558511Mon, 12 Nov 2012 00:30:57 -0500<img src="http://25.media.tumblr.com/tumblr_mdbi4zqJJY1qdgqijo1_400.gif"/><br/><br/>http://polytopes.tumblr.com/post/35474604473http://polytopes.tumblr.com/post/35474604473Sun, 11 Nov 2012 04:53:20 -0500<img src="http://24.media.tumblr.com/tumblr_mcp2s0Ez2R1qdgqijo1_500.jpg"/><br/><br/>http://polytopes.tumblr.com/post/34626013754http://polytopes.tumblr.com/post/34626013754Tue, 30 Oct 2012 03:14:24 -0400<img src="http://25.media.tumblr.com/tumblr_mb4d20GSx21rclv0wo1_500.jpg"/><br/><br/>http://polytopes.tumblr.com/post/33823307717http://polytopes.tumblr.com/post/33823307717Thu, 18 Oct 2012 01:25:08 -0400<img src="http://24.media.tumblr.com/tumblr_mbqxufeZcV1qdgqijo1_r1_400.png"/><br/><br/>http://polytopes.tumblr.com/post/33382423211http://polytopes.tumblr.com/post/33382423211Thu, 11 Oct 2012 16:49:00 -04003ternary<img src="http://25.media.tumblr.com/tumblr_matq1wyYTI1qdgqijo1_500.jpg"/><br/><br/><p>Édouard-Léon Scott de Martinville</p>http://polytopes.tumblr.com/post/32155763557http://polytopes.tumblr.com/post/32155763557Sun, 23 Sep 2012 18:20:00 -0400<iframe width="400" height="300" src="http://www.youtube.com/embed/x8exsw6yKXw?wmode=transparent&autohide=1&egm=0&hd=1&iv_load_policy=3&modestbranding=1&rel=0&showinfo=0&showsearch=0" frameborder="0" allowfullscreen></iframe><br/><br/><p><a class="tumblr_blog" href="http://exp.lore.com/post/31812021057/here-we-are-pegging-the-dawn-of-animation-in-the">explore-blog</a>:</p> <blockquote> <p>Here we are pegging <a href="http://www.brainpickings.org/index.php/2011/07/05/animation-pioneers/">the dawn of animation in the early 20th century</a>, when in fact <a href="http://news.discovery.com/history/prehistoric-movies-120608.html">stoneage artists created prehistoric movies</a>.</p> <p><em>(<a href="http://www.curatorscode.org">↬</a> <a href="http://kottke.org/12/09/cave-paintings-were-stone-age-animations">kottke</a>)</em></p> </blockquote>http://polytopes.tumblr.com/post/31850812290http://polytopes.tumblr.com/post/31850812290Wed, 19 Sep 2012 03:26:42 -0400<img src="http://25.media.tumblr.com/tumblr_m63c8mF9ej1qdgqijo1_500.png"/><br/><br/>http://polytopes.tumblr.com/post/25740073383http://polytopes.tumblr.com/post/25740073383Sat, 23 Jun 2012 18:09:58 -0400<img src="http://25.media.tumblr.com/tumblr_m52bwpmFVM1qdgqijo1_500.png"/><br/><br/><p><span>Diophantine approximations with denominator </span><em>n</em><span> to the logarithms of six “pleasant” musical intervals</span></p>http://polytopes.tumblr.com/post/24361717204http://polytopes.tumblr.com/post/24361717204Sun, 03 Jun 2012 18:31:36 -0400<img src="http://25.media.tumblr.com/tumblr_m4jx0meuHx1qdgqijo1_500.jpg"/><br/><br/><p><a href="http://www.reanimationlibrary.org/catalog/digital_assets/2597">Reanimation Library</a></p>http://polytopes.tumblr.com/post/23700596010http://polytopes.tumblr.com/post/23700596010Thu, 24 May 2012 19:53:10 -0400<img src="http://25.media.tumblr.com/tumblr_m25p94LF0D1qdgqijo1_500.png"/><br/><br/><p><a href="http://www2.fiit.stuba.sk/~kvasnicka/Seminar_of_AI/bidlo.ca2012.pdf">http://www2.fiit.stuba.sk/~kvasnicka/Seminar_of_AI/bidlo.ca2012.pdf</a></p>http://polytopes.tumblr.com/post/20707296624http://polytopes.tumblr.com/post/20707296624Sun, 08 Apr 2012 06:31:52 -0400