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Tesla’s 3-6-9 and Vortex Math: Is this really the key to the universe?

4.8M views · Feb 19, 2022 · Education

Comments · 7.9K

  • @Mathologer · 4 years ago (edited) · pinned

    (updated 2 April 2022) Thank you to all of you who contributed a modular times table app. All the apps I am aware of are listed below. The winner of the draw is Mathis Aaserud. Congratulation!<br><br>Here are a few implementation contributed by viewers so far. Look at these first:<br>Adam Abrams: <a href="https://theadamabrams.com/modularmultiplication">https://theadamabrams.com/modularmultiplication</a><br>Ed Collen: <a href="https://vortex-rho.vercel.app/">https://vortex-rho.vercel.app/</a><br>Andrew “Ash Mystic” Herman: <a href="https://codepen.io/hippiefuturist/full/NrvqgZ">https://codepen.io/hippiefuturist/full/NrvqgZ</a> (check out the preset animations on this one. Also check out his fractal tree generator <a href="https://codepen.io/hippiefuturist/full/KRromj">https://codepen.io/hippiefuturist/full/KRromj</a> )<br><br>Man Hin Li: <a href="https://mandelbrot.vercel.app/">https://mandelbrot.vercel.app</a><br>Liam Applebe: <a href="https://tiusic.com/vortex.html">https://tiusic.com/vortex.html</a><br>Owen Bechtel: <a href="https://owenbechtel.com/games/times-tables/">https://owenbechtel.com/games/times-tables/</a><br>William Ward: &nbsp;<a href="https://scratch.mit.edu/projects/647469837/">https://scratch.mit.edu/projects/647469837/</a><br>Артём Маевский: <a href="https://tinyurl.com/yc8danxx">https://tinyurl.com/yc8danxx</a><br>Baxi: <a href="https://baxi-codes.github.io/mathologer-vortex/">https://baxi-codes.github.io/mathologer-vortex/</a><br>Marc Donis: <a href="https://madc0w.github.io/cardioid/">https://madc0w.github.io/cardioid/</a><br>Rafael Castro Couto: <a href="https://codepen.io/rafaelcastrocouto/pen/KKyoKWm">https://codepen.io/rafaelcastrocouto/pen/KKyoKWm</a><br>Laurent Bucher: <a href="https://anceps.net/modularTimesTables.html">https://anceps.net/modularTimesTables.html</a><br>Hannes Wendt: htts://<a href="http://math.wendt.sbs/vertex">math.wendt.sbs/vertex</a><br>Hugo Cardoza: Code in p5js <a href="https://editor.p5js.org/hugomosh/sketches/1Sg1NxqI7">https://editor.p5js.org/hugomosh/sketches/1Sg1NxqI7</a><br>john Schoeman: <a href="https://www.doodles.camp/#/doodles/modular-times-table">https://www.doodles.camp/#/doodles/modular-times-table</a><br>Banjamin Elo: <a href="https://bnelo12.github.io/vortex-math/">https://bnelo12.github.io/vortex-math/</a><br>Joe Lucette: <a href="https://jluqu.github.io/modmult.html">https://jluqu.github.io/modmult.html</a><br>Federico Marotta: <a href="https://federico-marotta.shinyapps.io/tesla_vortex">https://federico-marotta.shinyapps.io/tesla_vortex</a><br>T3CHN01200: <a href="https://victorsohier.github.io/">https://victorsohier.github.io/</a><br>Tom DeRensis: <a href="https://github.com/tderensis/ModularTimesTableJavascript">https://github.com/tderensis/ModularTimesTableJavascript</a><br>Ehsan Kia: <a href="https://ehsankia.com/cjs/vortex">https://ehsankia.com/cjs/vortex</a><br>Jayson Vivet: <a href="https://www.geogebra.org/m/cufneprj">https://www.geogebra.org/m/cufneprj</a><br>Tyler Wolfe-Adam: <a href="https://mathologer-vortex-app.herokuapp.com/">https://mathologer-vortex-app.herokuapp.com/</a><br>Andrea Coletta: <a href="https://mathologer-modular-time-table.lm.r.appspot.com/app">https://mathologer-modular-time-table.lm.r.appspot.com/app</a><br>Mathis Aaserud: <a href="https://sirkular.ispaceyourtube.com/">https://sirkular.ispaceyourtube.com/</a><br>Justin Kirk: <a href="https://intern-jck.github.io/vortex-math/">https://intern-jck.github.io/vortex-math/</a><br>Jarred Branch: no online version<br>Álvaro Silva: <a href="https://mathlogervortexalvaro.web.app/">https://mathlogervortexalvaro.web.app/</a><br>Rafael Castro Couto: <a href="https://codepen.io/rafaelcastrocouto/pen/KKyoKWm">https://codepen.io/rafaelcastrocouto/pen/KKyoKWm</a><br>planck_cst: <a href="https://www.jerpint.io/blog/mathologer-challenge/">https://www.jerpint.io/blog/mathologer-challenge/</a><br>Anton Shcherbinin: <a href="https://ch.ant-on.net/modulo/moire?p=1009&amp;m=303">https://ch.ant-on.net/modulo/moire?p=1009&amp;m=303</a><br>Cristian Merighi: <a href="https://js.pacem.it/2d/vortex">https://js.pacem.it/2d/vortex</a><br>Krischna-Gabriel Schulz: no online version<br>András Kirisics: <a href="https://kiri-mathologer-vortex.web.app/">https://kiri-mathologer-vortex.web.app/</a><br>relikd: <a href="https://relikd.github.io/Vortex-Math/">https://relikd.github.io/Vortex-Math/</a><br><br>Eclectic Gamer: <a href="https://www.youtube.com/watch?v=n_YLB0ncbpI">https://youtu.be/n_YLB0ncbpI</a> (Video on using Blender and Geometry nodes to make these diagrams)<br><br>Some existing implementations of the modular times table diagrams:<br>Aymeric Ramiere: <a href="http://www.aymericramiere.com/others_modular.html">http://www.aymericramiere.com/others_modular.html</a><br>Steve Phelps: <a href="https://www.geogebra.org/m/z8wrdret#material/dqKkQEv7">https://www.geogebra.org/m/z8wrdret#material/dqKkQEv7</a><br>I did this a while ago: <a href="http://www.qedcat.com/cardioid.cdf">http://www.qedcat.com/cardioid.cdf</a> <br>Marcus Metzler: <a href="https://github.com/drmocm/Modulo-graphics">https://github.com/drmocm/Modulo-graphics</a><br><br>Start of a wish list for the modular times table diagram coding competition:<br>-Being able to color line segments according to length.<br>-Being able to highlight different loops in different colors.<br>-Indication of the &quot;direction&quot; of multiplication. 1x2 = 2 and so there should really be a little arrow from 1 to 2 not just a simple connection :)<br>...

    469

  • @jazzfan39 · 10 months ago (edited)

    Jazz musician here. 3,6,9,12 are all literally so important in music. We have 12 notes in the natural tuning, the most common chords are made up of 3 notes, 6th intervals are very important for landing home and they have no dissonance, we even have a 3-6-9 chord which sounds majestic. 9ths also have very little dissonance. The whole tone scales, which divide the 12 note scale perfectly in half and are symmetrical, there are 6 notes in each. 3 and 6 are some of the most common time signatures, rhythms divide into 3s (triplets) very naturally. I’d could go on and on but this is just off the top of my head.

    165

  • @lzkovacs · 4 years ago

    Division by 7 always produces 142857. Spare key to the Universe, if you lost the master copy

    2.2K

  • @2.wahlmesser · 3 years ago

    The vortex is just the formula for calculating counter frequencies. It&apos;s really interesting what vibrations can do...

    24

  • @sdtso-b6z · 10 months ago

    I was born on 030369. I have been seeing number codes increasingly everywhere and my ears have been ringing for 18 months. Then I leearned I am here on a service mission. Peace Love Light

    55

  • @contestmath6257 · 4 years ago

    I am from Austria and we never learned that the number, which remains actually is the remainder (<a href="https://www.youtube.com/watch?v=6ZrO90AI0c8&amp;t=585">9:45</a>). When I learned about modular arithmetic in math Olympiad, I guessed that fact to be true while doing an example. Not even my highly invested teacher was sure, whether the solution was right. Infuriating, that you do not learn these deeper truths about mathematics at school.

    112

  • @AndyGoth111 · 4 years ago (edited)

    In school whenever I noticed patterns such as these divisibility tests, my teachers discouraged me from pursuing them because they themselves were not sure if they&apos;d always hold and were concerned they&apos;d lead me astray. Another example that I recall is my noticing that each power of two is equal to one more than the sum of the lesser powers of two. That&apos;s well-established and taken for granted in computer science, yet was unknown to my teachers and regarded with skepticism. I remember also my mom pleading with my teachers to stop counting my work wrong for my daring to use techniques I developed myself from having explored the mathematical foundations of the rote mechanisms they taught. I understand that the pressures on elementary school math teachers drive them to stick with safe techniques, but for them to feel threatened by a student privately moving beyond that is frankly an indictment of the whole system of education.

    2.1K

  • @broughttoideas · 4 years ago

    Ive never understood math i would literally pound my head but you have helped me more in minutes than my teachers did in years

    10

  • @vilvd3934 · 3 months ago

    It would all be so different if we had a different base

    2

  • @JimC · 4 years ago

    When I was a kid, I learned the &quot;casting out 9s&quot; trick in some puzzle book (possibly by Jerome S. Meyer) my older brother had. I didn&apos;t learn why it worked until I read Martin Gardner&apos;s column about divisibility tests.

    6

  • @Hollowpointtrilla · 4 years ago

    Narrator: “What’s going on here” <br>@<a href="https://www.youtube.com/watch?v=6ZrO90AI0c8&amp;t=157">02:37</a> <br><br>YouTube viewers: 👁👄👁🍑

    11

  • @davidcovington901 · 4 years ago

    Three minutes in, and Mathologer has already far exceeded the videos this video is about.

    15

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