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i finally had some time to read and write more about tropical geometry. i definitely had fun working on this
@observablehq notebook! ref:https://observablehq.com/@timhau/introduction-to-tropical-geometry …Thanks. Twitter will use this to make your timeline better. UndoUndo -
this is nothing special or new. Just a well known flocking system, still impressive how much can be achieved from "simple" vector operations.pic.twitter.com/3f60qcm1Cb
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you can find many more and an interactive version here:https://observablehq.com/@timhau/parametric-surfaces …
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here are some (pretty) parametric surfaces that i plotted todaypic.twitter.com/Hcvieindau
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and here is a plot of the first Bernstein polynomials, that were used for the parametrizationpic.twitter.com/Z7L7zU6e3O
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this page by Paul Bourke was also really helpful http://paulbourke.net/geometry/bezier/ …
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Finally found some time to play around with Bézier surfaces.pic.twitter.com/whDq06XF9h
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tau Retweeted
How to construct a Square of Equal Area to a given Polygon? -> https://youtu.be/9yoCbk_z_08 pic.twitter.com/gxD3U3F0dj
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awesome notebook by Jacob Rus about cubic splines!https://observablehq.com/@jrus/cubic-spline …
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tau Retweeted
linear dynamics given by x'=Ax (for A a square matrix) are determined by the eigenvalues of A. this example has 3 eigenvalues. when they're real, flow goes in/out along eigendirections; a complex pair yields spirals. if all 3 are the same w/one eigenvector, it "tries" to spiral.pic.twitter.com/tN1XpGQZRD
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tau Retweeted
Polar plots of primes. Wait for it... Can you guess what's going on? See the new video: https://youtu.be/EK32jo7i5LQ pic.twitter.com/SvcB74wnED
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tau Retweeted
I've had this exploration of complex root-finding with contour integration implemented and half-debugged for a few years now, and
@observablehq finally feels like the right environment to explore this sort of thing.https://observablehq.com/@rreusser/finding-roots-in-the-complex-plane …Show this threadThanks. Twitter will use this to make your timeline better. UndoUndo -
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