Projects posts tagged with math and mathematics
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Posts tagged with 'math' and 'mathematics' at Projects.Sat, 12 Aug 2023 07:11:42 -0800Sat, 12 Aug 2023 07:11:42 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60The Phantom of the XY-Plane
http://projects.metafilter.com/6198/The%2DPhantom%2Dof%2Dthe%2DXY%2DPlane
Every year mathematics YouTuber 3Blue1Brown runs a contest called the Summer of Math Exposition which encourages people, who might not otherwise do so, to publish explanations on math related topics. It's the third year of the contest but the first year I actually had an idea. A lot of people get confused by complex solutions to quadratic equations when they first learn them. I think part of the reason is that most of us never really get much in the way of visual/geometric intuition for what or where those complex roots actually are. Finding solutions to quadratic equations is generally treated entirely as an algebraic exercise. So I've tried to (massively over-)explain what complex roots "mean" geometrically and give a bit of intuition for "where" they live in relation to the XY-plane.
Lots of people, probably most people, make videos but that's not a requirement. I don't know how to make videos and had neither the time nor inclination to learn. So I wrote this instead. I still can't decide if it's really obvious, everybody knows this and I'm just kind of oblivious for somehow managing to miss it for 30 years; or if it's just that solving quadratics is something that we learn so early that we never really think too much about it once we've mastered the basics.
But hey I'm not the only oblivious person on the planet so hopefully it'll be new and/or interesting to somebody. tag:projects.metafilter.com,2023:site.6198Sat, 12 Aug 2023 07:11:42 -08003Blue1BrowncomplexNumbersgeometricAlgebrageometrymathmathematicsparabolapolynomialquadraticquadraticEquationquadraticFormulaSoMEsummerOfMathExpositionMister_Sleight_of_HandFogleworms: a series of modular linocut prints
http://projects.metafilter.com/5893/Fogleworms%2Da%2Dseries%2Dof%2Dmodular%2Dlinocut%2Dprints
I spent the last half of January fixated on a simple mathematical proposition about arranging short twisting lines on a square grid, which I nicknamed "Fogleworms"; the terminus (so far) of that particular obsession is this series of 96 modular linocut prints and their four derived "ghost" prints, each mathematically unique. Besides describing the project in its own right, the writeup collates a lot of my tweeting about the subject and this actual printing project through the end of January and early February; "Fogleworms" comes from Michael Fogleman, the person who originally derailed my brain by <a href="https://twitter.com/FogleBird/status/1349563985268531200">posting this tweet</a>.
When I finally got to the point of creating the prints in this set, I live-tweeted a bunch of the process <a href="https://twitter.com/joshmillard/status/1357120805474213888">in this long thread</a>, including pictures, process notes, and a couple bits of video.
I'm really happy with how the prints came out and with having executed the whole series; I'm interested in exploring the possibilities of this kind of modular print-making further, and like how naturally it lines up with some of my existing inclinations toward system-based and process-based art.
I also recently executed a similarly combinatorial printing project, the <a href="https://www.patreon.com/posts/stop-1-24-47305806">STOP permutations</a>, which is focused on enumerating all the anagrams of the letters in a stop sign. Both the STOP prints and these Fogleworm prints are available for purchase <a href="https://www.etsy.com/shop/CortexCraftworks">on my store</a> if you're interested in owning a piece. tag:projects.metafilter.com,2021:site.5893Mon, 15 Mar 2021 12:01:01 -0800artfoglewormslatticelinocutlinoleummathmathematicsprintseriescortexMaseno Maths Camp video
http://projects.metafilter.com/3758/Maseno%2DMaths%2DCamp%2Dvideo
<a href="http://www.youtube.com/watch?v=pLQpuAR8quw">This is a video about a math camp</a> in Maseno, Kenya, that I've helped coordinate for the last two years. The idea is to give secondary school students a new perspective on mathematics, and expose teachers to activity-based teaching methods. We're aiming to get across the idea that math is about the concepts rather than the drills, understanding rather than mindless computation, beauty rather than grades. The video runs about 13 minutes, but there's a <a href="http://www.youtube.com/watch?v=pLQpuAR8quw&t=0m30s">catchy song at the beginning</a> to rope you in and get the idea across more quickly. Finally, there's a <a href="http://blogs.africanmathsinitiative.net/tomd/2012/10/22/math-camp-video-and-general-progress-thus-far/">blog post here</a> outlining a bit of the work we've been up to this year. There are a lot of Big Ideas going into this project. For me, the really big idea is to build up the base of mathematically literate people in Africa to allow the economies to be a bit more independent, and to allow problems to be solved more readily by people with good understanding of the local situation. There's an all-too-common phenomenon of experts flown in from abroad who stay around very briefly, identify a couple problems and prescribe a couple 'solutions' which have little chance of actually working, with a price tag of a few hundred thousand dollars. So why not create a crew of local experts, with knowledge of the local system and the big-level maths and modeling that the foreign experts are so well paid for?
Of course, to do this, you've got to engage with the education system in one way or another. We're working at all different levels, but what you see here is a project at the secondary school level. We're hoping that by opening eyes of students and teachers to a different way to interact with mathematics, we'll be able to raise the level of understanding, and help produce students who are ready to really tackle mathematics wherever they end up. tag:projects.metafilter.com,2012:site.3758Mon, 22 Oct 2012 18:11:29 -0800africacampeducationgameskenyamathmathematicsmusickaibutsuThe On-Line Blog of Integer Sequences
http://projects.metafilter.com/3078/The%2DOnLine%2DBlog%2Dof%2DInteger%2DSequences
I'm a big fan of recreational mathematics. I would, from time to time, poke around <a href="http://oeis.org/">The On-Line Encyclopedia of Integer Sequences</a> and be startled both by the sheer volume of it, and also by the nuggets of deeply interesting sequences I would occasionally find. After a year of dithering, I've finally started keeping a blog discussing (in brief detail) interesting sequences found therein. tag:projects.metafilter.com,2011:site.3078Mon, 11 Apr 2011 08:18:48 -0800blogmathmathematicsnerderyPlutor