Standard Mandelbrot vs Buddhabrot
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:
- 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?