This video presents a beam of complex functions represented in Reflex :
exp(i*pi/4)*oo(i*circle($x+tan(sinh(exp( z)))),5)
where $x varies between -5.0 and 4.4
Mathematical points to observe:
– The black circles come from the “circle” function, equal to conj(z)-1/z
– oo(f(z), 3) == f(f(f(z))), that’s why there are some fractal-like elements in this video
[Thanks to my mother, who discovered this excellent formula.]
Musique:
Piotr Ilyich Tchaikovski
27. II – 13 – Danses des cygnes – Swan Lake
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