The Stars Align  
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Description: A modified version of the Buddhabrot function
Stats: Views: 83 Total Favorities: 1 View Who Favorited Filesize: 1.5MB Height: 1080 Width: 1920 Posted by: AranLeer March 13, 2020, 01:25:16 PM Rating: by 3 members. Total Likes: 2 Image Linking Codes


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pauldelbrot  March 13, 2020, 01:54:36 PM z^{6} + c Buddhabrot? 
AranLeer  March 13, 2020, 02:00:41 PM It is a Z^{6} Buddhabrot, but with a periteration "posteffect" of moving the xcoordinate of the trajectory by 1. So, like this: Code: [Select] for(i=0;i<maxIter;i++){ 
pauldelbrot  March 13, 2020, 02:18:06 PM That's the same as translating c by one, so, just translating the image itself by one, isn't it? Hmm. Code looks like Java. Converts to polar and then cartesian again every iteration  is that actually more efficient once the power gets that high? 
AranLeer  March 13, 2020, 03:05:29 PM Yes, it is Java code. That's just the language I am most familiar with, and it's fast enough for tinkering with. As far as converting between polar and cartesian each iteration  I normal keep everything in cartesian coordinates, as it is much faster. But I've been playing around with different types of "postaffects" in fractals, and for this particular image I was interested in how "postaffects" would affect polar coordinate versions of the fractal. So I do the primary calculations in Polar, but have to convert to cartesian to find the pixel's x and y coordinates (since for Buddhabrot the pixels need to be updated each iteration). As far as the "postaffect" being the same as adjusting the C value  Yes, it is the same as shifting the C value. In this case it was still somewhat novel because it was being used with Polar coordinate calculations  but normally I have been doing some "postaffects" that are more complex, such as adjusting by a dynamic value based on the iteration number, or even doing rotations each iteration. These have produced a few other interesting images I have uploaded previously (like the "Fluffybrot" and "Cyclops" images). But yes  as for this image, it was probably not worth mentioning it as a "postaffect". Also  after doing a little more testing  I found out the reason I was getting the interesting "stars" in this picture is because I was using the wrong initial condition for the fractal. I had been setting the initial Polar Coordinate to some value other than (0,0), and because of that, when I did the "1" as a "postaffect", it was actually making a unique difference other than just shifting the C value by 1. So if I correct the issue and put the initial coordinate to (0,0), then changing the C value is the same as updating the x coordinate by a fixed value each iteration. Thanks for your input, or I would probably have not figured that out 