Sujet : Re: The splendor of true
De : jp (at) *nospam* python.invalid (Python)
Groupes : sci.mathDate : 11. Mar 2025, 00:19:29
Autres entêtes
Organisation : Nemoweb
Message-ID : <pydQwEQ1pApHR5T4L_6AIjfTsGc@jntp>
References : 1 2 3
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Le 11/03/2025 à 00:09, Richard Hachel a écrit :
Le 10/03/2025 à 22:21, "Chris M. Thomasson" a écrit :
On 3/8/2025 3:54 PM, Richard Hachel wrote:
<http://nemoweb.net/jntp?gpYr5eUNsnuIlHzO4tsg1kWypUg@jntp/Data.Media:1>
What is this?
R.H.
In C (complex numbers as defined in math i.e. R[X]/(X^2 + 1)) consider the sequence :
(z_n and c are complex numbers)
z_0 = 0 + 0i
z_(n+1) = (z_n)^2 + c
if (z_(n)) does not go to infinity then c is a member of Mandelbrot's set
(it is also the set of c for which another set (Julia's set J_c) is connexe)
You can explore it there on line (zoom on the border, it is quite fascinating) :
https://mandel.gart.nz/There the set itself is the black part, the colors at the border represents how fast the sequence diverges.
The splendor of true
Re: The splendor of true