Re: The splendor of true

On 3/10/2025 4:19 PM, Python wrote:

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:

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<http://nemoweb.net/jntp?gpYr5eUNsnuIlHzO4tsg1kWypUg@jntp/Data.Media:1>
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What is this?
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R.H.

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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)

 The one RH is reffering to is a special version of the set. I Mulia'ed it! lol. Here is one using a Julia set:
 https://i.ibb.co/kst5bmzX/image.png
  

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z_0 = 0 + 0i
z_(n+1) = (z_n)^2 + c
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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)
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You can explore it there on line (zoom on the border, it is quite fascinating) :
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https://mandel.gart.nz/
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There the set itself is the black part, the colors at the border represents how fast the sequence diverges.
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