### gerrit images

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• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #480 on: July 14, 2018, 05:03:54 AM »
Deep, 1E4500.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #481 on: July 15, 2018, 08:48:09 AM »
Code: [Select]
q=.3r=1e-6z=0w=0(c = pixel)if |z|>0, w = (qw+c)/z, else w = cz = z^2+rw^2+c

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #482 on: July 17, 2018, 03:37:48 AM »
Big spiral...

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #483 on: July 17, 2018, 03:38:39 AM »
... with a mini inside.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #484 on: July 18, 2018, 03:04:53 AM »
Taking the super series approximation polynomial around a warped min of period 8 to order (8,4), then just render the polynomial as a normal fractal.
Implemented as an UltraFractal formula.

This one consists of infinitely many disconnected minis, some warped, some not. Zoom on the main one.

#### pauldelbrot

• Fractal Freak
• Posts: 720

#### Re: gerrit images

« Reply #485 on: July 18, 2018, 04:55:25 AM »
That is so cool! The second image shows how it gets the embedded Julias nearby right, whereas the linear approximation does not (even for unwarped minis).

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #486 on: July 18, 2018, 05:22:26 AM »
That is so cool! The second image shows how it gets the embedded Julias nearby right, whereas the linear approximation does not (even for unwarped minis).
For comparison, here's the nucleus used.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #487 on: July 19, 2018, 03:13:54 AM »
Here's another SSA period 32 order (4,4) pair: nucleus, and SSA approximation. Each bright dot is a minibrot.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #488 on: July 19, 2018, 10:30:45 PM »
A weird coloring method: color_index = n/N with n iteration minimizing $$|z_n-c|+1/|z_{n-1}|$$ and N escape iteration number.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #489 on: July 19, 2018, 10:39:48 PM »
Another one with that coloring.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #490 on: July 21, 2018, 07:23:59 AM »
Code: [Select]
q=0.1z=0w=c(c = pixel)z = z^2 + qw +cw = w^2 +qz + c

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #491 on: July 21, 2018, 07:57:40 AM »
Same with q=-0.1.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #492 on: July 22, 2018, 04:45:29 AM »
Similar to previous formula.

• 3f
• Posts: 1480

#### Re: gerrit images

« Reply #493 on: July 22, 2018, 08:41:41 AM »
Code: [Select]
q=0.01p=4z = z^2 +q(z^p-c)/(pz^(p-1))

• Fractal Friar
• Posts: 103

#### Re: gerrit images

« Reply #494 on: July 22, 2018, 04:17:14 PM »
... with a mini inside.
why one can not see spiral here ?

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