zerozerozero

Buddhabrot-style polynomials

Standard Mandelbrot vs Buddhabrot

Imaginary Rotoscopes

Hack && Tell Round #31

Math Review 🧪




Quadratic polynomials always have two roots

Roots can be real or complex




Always has n (possibly complex) roots

If a are all real, then all the roots are real

For a given polynomial:

Add random imaginary component:

Questions:

  • Can one compute the distributions of roots?
  • Do other distributions than give different results?
  • Complex coefficients lead to symmetry breaking, but why so subtle?
  • Is there a better way to color the roots?

Thanks, you!

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