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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.