gerrit images

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Offline gerrit

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

Offline gerrit

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

Offline gerrit

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

Offline gerrit

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

Offline gerrit

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« 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.

Offline pauldelbrot

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« 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).

Offline gerrit

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« 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.

Offline gerrit

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« 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.

Offline gerrit

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« 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.

Offline gerrit

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

Offline gerrit

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

Offline gerrit

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

Offline gerrit

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

Offline gerrit

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

Offline Adam Majewski

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« 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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