• March 01, 2021, 10:32:14 AM

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Aesthetics :Pcubic Julia setEmbedded
cubic Julia set
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Description: Source code for image by Adam:
https://fractalforums.org/index.php?action=gallery;sa=view;id=5375
https://commons.wikimedia.org/wiki/File:Cubic_Julia_set_C_%3D-0.040000000000000036-0.78*I_with_internal_level_curves.png#c_source_code
modified to make level sets intersect at the origin:
Code: [Select]
--- z_to_zzz_plus_c_julia_interior_levels.c.orig 2021-02-10 20:40:12.424796598 +0000
+++ z_to_zzz_plus_c_julia_interior_levels.c 2021-02-10 20:49:14.919595359 +0000
@@ -251,7 +251,7 @@
 
 
 
-  if ( cabs2(z - z2a) < AR2) {return 1;} // circle with prabolic point zp on it's boundary
+  if ( cabs2(z - z2a) <= AR2) {return 1;} // circle with prabolic point zp on it's boundary
   return 0; // outside
 
 
@@ -856,6 +856,17 @@
   
   
   
+  complex double z = 0;
+  for (int i = 0; i < 1000; ++i)
+  {
+    if (IsPointInsideTrap(z))
+    {
+      AR2 = cabs2(z - z2a);
+      AR = sqrt(AR2);
+      break;
+    }
+    z = z*z*z + C;
+  }
   
   
 

changes in IsPointInsideTrap() and setup()
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Total Favorities: 0 View Who Favorited
Filesize: 638.7kB
Height: 2000 Width: 2000
Keywords: cubic julia 
Posted by: claude February 10, 2021, 09:58:20 PM

Rating: ***** by 3 members.
Total Likes: 1

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Comments (3)

Sabine62
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It's just a jump to the left...


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February 12, 2021, 01:22:26 PM
:clapping:
Adam Majewski
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February 12, 2021, 07:04:09 PM
looks great ... but (:-)) my comment inside code  is wrong ( not updated )

Period 2 cycle is not parabolic but attracting.  it's stability = |multiplier|=0.95704 =attractive

So the artistic view is great but from math point of view is it good ?
gerson
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February 14, 2021, 04:22:13 AM
liked this one as much as other one.

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