Simple math: roots of polynomials when their parameters move around a circle in complex plane: 🔴 http://bit.ly/3GELgCb Specifically polynomials ⭐ x⁵ + a x + 1 ⭐ x⁵ + a x² + 1 ⭐ x⁵ + a x³ + 1 as coefficient "a" varies along a circle centered at 0 in the complex plane (radii 1 and 2). Beautiful color schemes are from the built-in set in the Wolfram Language: https://lnkd.in/eVSsb7b2 #science #tech #technology #education #computation #programing #wolfram #mathematics #math #art #maths #graphicdesign #animation #graphics #illustration #WolframLanguage
Beautiful! Done with #mathematica, right?
Looks yummy. I want to try the watermelon one on bottom left. Joking. This is really cool. I wish I could find network animation software that is this smooth, to show network evolution.
I was hoping we’d discovered Life on Mars. But this is good too.
Related demo - "Perturbing the Constant Coefficient of a Complex Polynomial": https://wolfr.am/1alk0xFDb
I imagine ''collisions'' between particles. Some seem to share values of the same degree (of energy levels?) for a moment before seperating again.
Very interesting !
Wonderful images… Thanks much for posting!
Do we see basins of attraction here?
What a beautiful visualization. The most inspiring math visualization I've seen in a while. Makes me think of Galois wrestling with roots of the quintic.
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2y"These look like juggling passing patterns, with five jugglers wandering around." quoting Henry Segerman - I thought it's pretty good comparison :-) Original idea is by @twocubes https://wolfr.am/1adPCBqOZ