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Julia Set Z^10+0.702

LEleszpio•Created May 29, 2018
Julia Set Z^10+0.702
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Description

Two algorithms were used. In the first algorithm, the de Moivre formula was used to increase complex numbers. z=x+yi |z|=sqr(x^2+y^2) (x+yi)^10=|z|^10((cos10*arcsin(y/|z|)+i*sin10*arcsin(y/|z|)) The second algorithm uses exponentiation properties. (x+yi)^2= x^2-y^2+i*2xy=a+bi (a+bi)^5=a^5-10a^3b^2+5ab^4+i*(5a^4b-10a^2b^3+b^5) For a + bi we insert (x + yi) ^ 2 z^10=(z^2)^5 cloning was applied

Project Details

Project ID226129339
CreatedMay 29, 2018
Last ModifiedMay 18, 2019
SharedJune 5, 2018
Visibilityvisible
CommentsAllowed