MetaFilter posts tagged with Fibonacci
http://www.metafilter.com/tags/Fibonacci
Posts tagged with 'Fibonacci' at MetaFilter.Sat, 17 Jan 2015 09:53:04 -0800Sat, 17 Jan 2015 09:53:04 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Blooming Zoetrope Sculptures
http://www.metafilter.com/146210/Blooming%2DZoetrope%2DSculptures
"<a href="http://vimeo.com/116582567">When the sculptures are spun at just the right frequency under a strobe light</a>, a rather magical effect occurs:<a href="http://artstyle.sfglobe.com/2015/01/14/3d-printed-sculptures-look-alive-when-spun-under-a-strobe-light/"> the sculptures seem to be animated or alive!</a>" <br><br>
<a href="http://www.instructables.com/id/Blooming-Zoetrope-Sculptures/">These 3D printed sculptures</a> were designed by artist, inventor, and <a href="https://art.stanford.edu/people/john-edmark">Stanford design lecturer</a> <a href="http://web.stanford.edu/~edmark/">John Edmark</a> using Fibonacci's sequence to determine the placement of the appendages. They appear animated when their rotation speed is synchronized to a strobe so that one flash occurs every time the sculpture turns 137.5º - though in the video above, the camera was set to a very short shutter speed (1/4000 sec) to achieve the effect without using a strobe. Here's a <a href="http://vimeo.com/116709749">clip of just one sculpture with the strobe going</a>. tag:metafilter.com,2015:site.146210Sat, 17 Jan 2015 09:53:04 -0800polymath"You treat her like a lady. And she'll always bring you home."
http://www.metafilter.com/137416/You%2Dtreat%2Dher%2Dlike%2Da%2Dlady%2DAnd%2Dshell%2Dalways%2Dbring%2Dyou%2Dhome
<a href="http://www.robotjackalope.com/">Robot Jackalope</a> -- "a blog about design, programming and general geekery" -- tackles <a href="http://www.robotjackalope.com/?p=205">The Geometry of Starship Design -- the USS Enterprise</a> tag:metafilter.com,2014:site.137416Wed, 12 Mar 2014 07:28:27 -0800ricochet biscuitComputerized Math, Formal Proofs and Alternative Logic
http://www.metafilter.com/126041/Computerized%2DMath%2DFormal%2DProofs%2Dandamp%2DAlternative%2DLogic
<a href="http://www.wired.com/wiredscience/2013/03/computers-and-math/all/">Using computer systems for doing mathematical proofs</a> - "With the proliferation of <a href="http://en.wikipedia.org/wiki/Computer-assisted_proof">computer-assisted proofs</a> that are all but impossible to check by hand, Hales thinks computers must become the judge." <blockquote>Three years ago, Vladimir Voevodsky, one of the organizers of a new program on the foundations of mathematics at the Institute for Advanced Study in Princeton, N.J., discovered that a formal logic system that was developed by computer scientists, called "<a href="http://en.wikipedia.org/wiki/Type_theory">type theory</a>" could be used to re-create the entire mathematical universe from scratch. Type theory is consistent with the mathematical axioms, but couched in the language of computers. Voevodsky believes this alternative way to formalize mathematics, which he has renamed the <a href="http://video.ias.edu/univalent/voevodsky">univalent foundations of mathematics</a>, will streamline the process of formal theorem proving. Voevodsky and his team are adapting a <a href="https://plus.google.com/u/0/117663015413546257905/posts/4BZRibN6iKQ">program named Coq</a>, which was designed to formally verify computer algorithms, for use in abstract mathematics.</blockquote>
also btw, speaking of mathematical revolutions, from a historical perspective, check out <a href="http://www.scientificamerican.com/article.cfm?id=the-man-of-numbers-fibona&print=true">The Man of Numbers: Fibonacci's Arithmetic Revolution</a> - "Before the 13th century Europeans used Roman numerals to do arithmetic. Leonardo of Pisa, better known today as Fibonacci, is largely responsible for the adoption of the Hindu–Arabic numeral system in Europe, which revolutionized not only mathematics but commerce and trade as well. How did the system spread from the Arab world to Europe, and what would our lives be without it?" tag:metafilter.com,2013:site.126041Sat, 16 Mar 2013 15:33:01 -0800kliulessPineapple under the sea.... Really?
http://www.metafilter.com/112181/Pineapple%2Dunder%2Dthe%2Dsea%2DReally
<em>So, Nickelodeon, you tell us that Spongebob Squarepants lives in a pineapple upside down house at the bottom of the sea.<a href="http://youtu.be/gBxeju8dMho"> Are you really sure about that?</a> Beware of misleading your viewers about the universe, Nickelodeon!</em> <a href="http://www.freewebs.com/spongebobhomes/spongebob.htm">Spongebob's house (room by room guide)</a>. <a href="http://web.me.com/paulscott.info/maths-gallery/1/19.pineapple.html">Pineapple Fibonacci spirals</a>. A (mathematically correct) <a href="http://www.landmarktrust.org.uk/BuildingDetails/Overview/230/The_Pineapple#/">pineapple house that you can stay in</a>. <a href="http://www.youtube.com/watch?v=8L0uOlKh3c8#t=4m25s">Slicing your pineapple Fibonacci style</a>. <a href="http://vihart.com/">More Vi Hart</a>. <a href="http://www.metafilter.com/98150/Explorations-of-a-Recreational-Mathematician">Vi Hart Previously</a> and <a href="http://www.metafilter.com/100837/Talking-fast-and-making-cool-videos-does-not-mean-learning-is-happening">again</a>.. tag:metafilter.com,2012:site.112181Sun, 29 Jan 2012 14:59:43 -0800rongorongoImpossible Crystals
http://www.metafilter.com/59563/Impossible%2DCrystals
"This is a story of how the impossible became possible. How, for centuries, scientists were absolutely sure that solids (as well as decorative patterns like tiling and quilts) could only have certain symmetries - such as square, hexagonal and triangular - and that most symmetries, including five-fold symmetry in the plane and icosahedral symmetry in three dimensions (the symmetry of a soccer ball), were strictly forbidden. Then, about twenty years ago, a new kind of pattern, known as a "quasicrystal," was envisaged that shatters the symmetry restrictions and allows for an infinite number of new patterns and structures that had never been seen before, suggesting a whole new class of materials...."<br><br>Physicist Paul J. Steinhardt <a href="http://www.perimeterinstitute.ca/index.php?option=com_content&task=view&id=255&Itemid=269&lecture_id=4126">delivers a fascinating lecture</a> (WMV) on <a href="http://en.wikipedia.org/wiki/Penrose_tiling">tilings</a> and <a href="http://en.wikipedia.org/wiki/Quasicrystal">quasicrystals</a>. However, it turns out science was beaten to the punch: a recent <a href="http://www.physics.harvard.edu/~plu/publications/Science_315_1106_2007.pdf">paper</a> (PDF) <a href="http://blog.sciencenews.org/mathtrek/2007/02/ancient_islamic_penrose_tiles_1.html">suggests</a> Islamic architecture developed similar tilings centuries earlier. tag:metafilter.com,2007:site.59563Sun, 18 Mar 2007 20:54:55 -0800parudoxThe so-called Golden Ratio
http://www.metafilter.com/33665/The%2Dsocalled%2DGolden%2DRatio
A good article on the so-called <a href="http://www.maa.org/devlin/devlin_06_04.html">Golden Ratio</a>. tag:metafilter.com,2004:site.33665Sun, 13 Jun 2004 21:47:07 -0800stbalbachIt all started with rabbits
http://www.metafilter.com/29217/It%2Dall%2Dstarted%2Dwith%2Drabbits
<a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibpuzzles.html">Fun</a> with <a href="http://pw1.netcom.com/~merrills/fibphi.html">Fibonacci numbers</a>. So you say you scored 130 on yesterday's IQ test, did ya? tag:metafilter.com,2003:site.29217Tue, 28 Oct 2003 08:59:07 -0800archimagoThe golden section
http://www.metafilter.com/16373/The%2Dgolden%2Dsection
The golden section (<a href="http://www.perseus.tufts.edu/GreekScience/Students/Tim/Golden.html">math</a>, <a href="http://textism.com/bucket/fibsquare.html" title="small flash piece, yay textism">graphics</a>) is an important relation used by <a href="http://www.goldenmeangauge.co.uk/images/art3.jpg">artists</a> and <a href="http://galaxy.cau.edu/tsmith/KW/goldenpenrose.html">mathematicians</a>, among others. I'm curious if any of you have good examples of recent use. tag:metafilter.com,2002:site.16373Mon, 15 Apr 2002 17:00:54 -0800lbergstr"Self-similar syncopations: Fibonacci, L-systems, limericks and ragtime"
http://www.metafilter.com/1748/Selfsimilar%2Dsyncopations%2DFibonacci%2DLsystems%2Dlimericks%2Dand%2Dragtime
<a href="http://pass.maths.org/issue10/features/syncopate/index.html">"Self-similar syncopations: Fibonacci, L-systems, limericks and ragtime"</a> Along the lines of the book "Godel, Escher and Bach", an award winning essay looks at the mathmatical roots of popular music. I think I'm going to have to find a way to analyze some of my fave mp3's to see how they fall into the Fibonacci sequence... tag:metafilter.com,2000:site.1748Fri, 19 May 2000 12:31:31 -0800katchomko