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illestpreachaRect + Pegs Infused<a href="https://post.lurk.org/tags/mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathart</a> <a href="https://post.lurk.org/tags/mathober" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathober</a> <a href="https://post.lurk.org/tags/mathober2023" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathober2023</a> <a href="https://post.lurk.org/tags/mathober11" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathober11</a> <a href="https://post.lurk.org/tags/mathober8" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathober8</a> <a href="https://post.lurk.org/tags/counting" class="mention hashtag" rel="nofollow noopener" target="_blank">#counting</a> <a href="https://post.lurk.org/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> Video <a href="https://youtu.be/4JyAFd7VmkQ" rel="nofollow noopener" target="_blank">https://youtu.be/4JyAFd7VmkQ</a>Blogpost: <a href="https://blog.illestpreacha.com/mathober2023countingquadratic" rel="nofollow noopener" target="_blank">https://blog.illestpreacha.com/mathober2023countingquadratic</a>AudioVisuals coded in <a href="https://post.lurk.org/tags/livecodelab" class="mention hashtag" rel="nofollow noopener" target="_blank">#livecodelab</a> Tweaked for VisualsFor this combinational prompt, I will be taking my submission for Quadratic: Rect ^ 2 and merging it with a new coded entry for Counting. The counting occurs through different iterations of assessing the time variableOverlaid sketches that were coded in LiveCodeLabPoemRectangles roaming Rotating & rolling Running & rimming along Reciting the rhymes that belong Twirling and twisting Avoiding the mistakes that were tripping As the angles of the others are tilting Tiling and tipping Tipping to the ways as the rectangles are roaming<a href="https://post.lurk.org/tags/creativecoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#creativecoding</a> <a href="https://post.lurk.org/tags/coding" class="mention hashtag" rel="nofollow noopener" target="_blank">#coding</a> <a href="https://post.lurk.org/tags/newmedia" class="mention hashtag" rel="nofollow noopener" target="_blank">#newmedia</a> <a href="https://post.lurk.org/tags/scifi" class="mention hashtag" rel="nofollow noopener" target="_blank">#scifi</a> <a href="https://post.lurk.org/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#animation</a> <a href="https://post.lurk.org/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://post.lurk.org/tags/geometricart" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometricart</a> <a href="https://post.lurk.org/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://post.lurk.org/tags/3danimation" class="mention hashtag" rel="nofollow noopener" target="_blank">#3danimation</a><a href="https://post.lurk.org/tags/codeart" class="mention hashtag" rel="nofollow noopener" target="_blank">#codeart</a> <a href="https://post.lurk.org/tags/programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#programming</a> <a href="https://post.lurk.org/tags/programmer" class="mention hashtag" rel="nofollow noopener" target="_blank">#programmer</a> <a href="https://post.lurk.org/tags/newmediaart" class="mention hashtag" rel="nofollow noopener" target="_blank">#newmediaart</a> <a href="https://post.lurk.org/tags/creativecodeart" class="mention hashtag" rel="nofollow noopener" target="_blank">#creativecodeart</a> <a href="https://post.lurk.org/tags/dailyart" class="mention hashtag" rel="nofollow noopener" target="_blank">#dailyart</a> <a href="https://post.lurk.org/tags/generativeart" class="mention hashtag" rel="nofollow noopener" target="_blank">#generativeart</a> <a href="https://post.lurk.org/tags/artoftheday" class="mention hashtag" rel="nofollow noopener" target="_blank">#artoftheday</a> <a href="https://post.lurk.org/tags/instaartist" class="mention hashtag" rel="nofollow noopener" target="_blank">#instaartist</a> <a href="https://post.lurk.org/tags/digitalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#digitalart</a> <a href="https://post.lurk.org/tags/sqaures" class="mention hashtag" rel="nofollow noopener" target="_blank">#sqaures</a> <a href="https://post.lurk.org/tags/scifiart" class="mention hashtag" rel="nofollow noopener" target="_blank">#scifiart</a> <a href="https://post.lurk.org/tags/worldbuilding" class="mention hashtag" rel="nofollow noopener" target="_blank">#worldbuilding</a>

Xavier B.For me, this is the best method to solve <a href="https://mathstodon.xyz/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> <a href="https://mathstodon.xyz/tags/equations" class="mention hashtag" rel="nofollow noopener" target="_blank">#equations</a> (better than completing squares, general quadratics formula, factorization, ...)<a href="https://twitter.com/l_d_hodge/status/546712133732696064" rel="nofollow noopener" target="_blank">https://twitter.com/l_d_hodge/status/546712133732696064</a>(Credits from "l hodge" - @l_d_hodge on twitter)It's easy to understand, it works with $a \neq 1$ and it has meaning.It's based on change of variables and <a href="https://mathstodon.xyz/tags/symmetry" class="mention hashtag" rel="nofollow noopener" target="_blank">#symmetry</a>

Khurram Wadee ✅Finally the most sophisticated of the three is Simpson’s rule in which pairs of adjacent strips use a <a href="https://mastodon.org.uk/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> <a href="https://mastodon.org.uk/tags/parabola" class="mention hashtag" rel="nofollow noopener" target="_blank">#parabola</a> to interpolate between the ordinates. This even better at convergence than the trapezium rule. I’ve shown a different function here because for the function shown above the difference between the approximation and the numerical <a href="https://mastodon.org.uk/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> is not discernible.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mastodon.org.uk/tags/Numerics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Numerics</a> <a href="https://mastodon.org.uk/tags/SimpsonsRule" class="mention hashtag" rel="nofollow noopener" target="_blank">#SimpsonsRule</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/Wikipedia" class="mention hashtag" rel="nofollow noopener" target="_blank">#Wikipedia</a> <a href="https://mastodon.org.uk/tags/Wikimedia" class="mention hashtag" rel="nofollow noopener" target="_blank">#Wikimedia</a>

Xavier B.For me, this is the best method to solve <a href="https://scholar.social/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> <a href="https://scholar.social/tags/equations" class="mention hashtag" rel="nofollow noopener" target="_blank">#equations</a> (better than completing squares, general quadratics formula, factorization, ...)<a href="https://twitter.com/l_d_hodge/status/546712133732696064" rel="nofollow noopener" target="_blank">https://twitter.com/l_d_hodge/status/546712133732696064</a>(Credits from "l hodge" - @l_d_hodge on twitter)It's easy to understand, it works with $a \neq 1$ and it has meaning.It's based on change of variables and <a href="https://scholar.social/tags/symmetry" class="mention hashtag" rel="nofollow noopener" target="_blank">#symmetry</a>

Khurram Wadee ✅I was explaining to my wife yesterday how <a href="https://mastodon.org.uk/tags/DifferentialCalculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#DifferentialCalculus</a> gives us a way to find the <a href="https://mastodon.org.uk/tags/gradient" class="mention hashtag" rel="nofollow noopener" target="_blank">#gradient</a> of a <a href="https://mastodon.org.uk/tags/function" class="mention hashtag" rel="nofollow noopener" target="_blank">#function</a> at any point and to illustrate it I wrote a short routine in <a href="https://mastodon.org.uk/tags/Maxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maxima</a> to draw the <a href="https://mastodon.org.uk/tags/tangent" class="mention hashtag" rel="nofollow noopener" target="_blank">#tangent</a> to any point on a graph of a function. Here we see the example for the <a href="https://mastodon.org.uk/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> and <a href="https://mastodon.org.uk/tags/reciprocal" class="mention hashtag" rel="nofollow noopener" target="_blank">#reciprocal</a> functions, x^2 and 1/x i.e. a <a href="https://mastodon.org.uk/tags/parabola" class="mention hashtag" rel="nofollow noopener" target="_blank">#parabola</a> and a <a href="https://mastodon.org.uk/tags/hyperbola" class="mention hashtag" rel="nofollow noopener" target="_blank">#hyperbola</a> respectively.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/Gif" class="mention hashtag" rel="nofollow noopener" target="_blank">#Gif</a> <a href="https://mastodon.org.uk/tags/AnimatedGif" class="mention hashtag" rel="nofollow noopener" target="_blank">#AnimatedGif</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#WxMaxima</a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mastodon.org.uk/tags/Calculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#Calculus</a> <a href="https://mastodon.org.uk/tags/Differentiation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Differentiation</a>

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