Видео

Generated with github.com/fedimser/aldyparen-py Source: github.com/fedimser/aldyparen-py/blob/main/examples/example_project_1.json Soundtrack: Vibe Tracks - Alternate (from RUclips Audio Library)

A song about query optimization. Lyrics by ChatGPT. Vocals, music and cover art generated by udio.com. More songs: www.udio.com/creators/fedimser Lyrics: Die Zeilen fließen, mein Kopf ist schwer, Der Code zerbricht, ich kann nicht mehr. Die Nächte lang, der Schlaf so fern, Ich kämpfe hier, ganz still und gern. Oh, Datenbank, du nimmst so viel, Die Zeit vergeht, ich steh am Ziel. Doch innerlich ...

Generated by: github.com/fedimser/aldyparen #fractal

Generated with: github.com/fedimser/aldyparen #fractal

Aldyparen 004 - Mandelbrot's Set

Generated by: github.com/fedimser/aldyparen #fractal

Aldyparen 006

Generated by: github.com/fedimser/aldyparen #fractal

Generator z^2 z^3 z^4-c^z. Rendered with Aldyparen (fedimser.github.io/aldyparen) #fractal

Demonstration of the magnetic levitation phenomenon.

Let's take Z[0]=0 and build sequence Z[i 1]=Z[i]^P C. Let's consider set of all such complex C, for which Z is limited sequence. If P=2 it will be the Mandelbrot's set, a famouse fractla structure. But let's change P. This video shows form of such sets on complex plane with P in range [1,120].

Let's take equation f(z)=z^3-1=0. We can solve it using Newton's method: take random number z[0] and repeat z[i 1]=z[i]-f'(z[i])/f(z[i]). Sequence z[i] will converge to one of three complex solution of this equation (complex roots from one). And the root it will converge to will depend on z[0] value. Let's paint points z of complex plane into 3 differnt colors depending on root that sequence wi...