u/AlexeyGal

https://www.deviantart.com/pgmatg/art/fractal-Fractint-Mini-Mandelbrot-raytrace-1364505683

https://www.deviantart.com/pgmatg/art/1362874546

Electric sheep morph from freakiebeat's LionFace to SpiralingWheels to cqfd93's RotatingSpheres :

https://youtu.be/cdCT5wPfcAQ?si=-uyWH7vLMZb6FWKb
Fractal flame morph calculated, rendered & animated by my 4kfract program :
deviantart.com/pgmatg/art/fractal-morph-Lion-Face-Spiral-Wheel-Spheres-1356761316

Difficult to reproduce bug in older version of my 4kfract program that rendered this image using incorrectly arranged and calculated c parameter in a formula "(1/(cos(1-z^(c/3))^2))^(5/6)". But the monochromatic look and details together interesting

fractal calculated , shaded and rendered by my 4kfract program using formula "acosh(z^log(z))" , that was discovered in looped random functions discovery mode.

In premium download incuded last version of the application archive , raytraced image , iso projection , and screenshot of 3d image.

If you aquired my app's zip file and extracted into a folder, open command prompt and cd to folder's path , and you can execute "4kfractuf.bat Combo.ufm JuliaCombo2" , that will render fractals with randomly substituted 4 functions in power combo formula with all 3 advanced outputs and opengl preview. Resulting images : raytracing , isometric , 3d screen capture.

fractal calculated , shaded and rendered by my 4kfract program using formula "acosh(z^log(z))" , that was discovered in looped random functions discovery mode.

In premium download incuded last version of the application archive , raytraced image , iso projection , and screenshot of 3d image : https://www.deviantart.com/pgmatg/art/Fractal-Spectral-walls-raytracing-1341847525

If you aquired my app's zip file and extracted into a folder, open command prompt and cd to folder's path , and you can execute "4kfractuf.bat Combo.ufm JuliaCombo2" , that will render fractals with randomly substituted 4 functions in power combo formula with all 3 advanced outputs and opengl preview. Resulting images : raytracing , isometric , 3d screen capture.

I have implemented basic raytracing functionality for my program. This is one of the first good results created based on custom julia combo (Asin, Flip, Abs).

new version of 4kfract appliction is available in archive from premium download : https://www.deviantart.com/pgmatg/art/1340284412 .

After extracting content of zip file into a folder , can run 4kfractray.bat to generate samples of iso governed raytraced image *_rt.jpg files alongside of iso and with 3d preview display

new version of my fractal program has generated serialized progression of images using flame fractal modified spiral preset , chaos bouble preset and julia morph (z=z^3+c) calculated with 3 dimentions complex numbers .

The program archive is included in premium download : https://www.deviantart.com/pgmatg/art/1339166358 .

video : https://youtu.be/BP734zDQbkg .

command line for render iteration loop that created images and made the video :

luajit cgi-bin\4kfract.lua --flame -flame-var:flame_spiral -chaos-preset:flame_bubble -chaos-cycles:10 -chaos-julia:0.41:loop:-0.001 -chaos-julia-power:3 --chaos-3d -loop:500 -chaos-view:-0.4925,-0.3727,0.2240,0.3532 -chaos-quality:fast -chaos-zoom:1:loop:-0.007 -palette:cn_silver -palette-shift:11 -chaos-brightness:1.2 -chaos-pan-x:0:loop:-0.001 -chaos-pan-y:0:loop:0.004 --music-from-render -chaos-jpeg-encoder:C:\util\MP4Tools\bin\ffmpeg.exe -skip -loop-step:0.72 -skip -mp4 -video-ffmpeg:C:\util\MP4Tools\bin\ffmpeg.exe -video-brightness:0.05 -video-scale:1

Fractal is based on flame and chaos presets : Swirl , Levy, 3d complex numbers Julia "z=z^3+c" .

Made a working version of fractal animation generated by my 4kfract program , video : https://youtu.be/vX5fbKq8YL0 . The application is available from premium download : https://www.deviantart.com/pgmatg/art/Fractal-086-C0-679-0-401i-Chaos-julia0-285-Chaos-z-1336514657

fractal animation generated by my 4kfract program (available from premium download), video (in 3 parts) is based on the my previously rendered flame fractal :
https://www.deviantart.com/pgmatg/art/Fractal-Wind-Chaos-Julia-Flame-animation-1334998048

my initial implementation of flame fractal rendering , which was calculated , shaded , post processed and saved as jpeg by new version of my 4kfract program :

try from : https://www.deviantart.com/pgmatg/art/1334677136

Archive containing the application is in the premium download. After extracting content of beta version of into separate folder, then can try serialization of chaos flame fractal by starting 4kfractFlam.bat. You can run 4kfract3d.bat script to generate sample opengl 3d view of set of randomly iterated fractal projections, it also saves more detailed flat and iso versions of those fractals as jpg files in that folder.

Can also run 4kfractui.bat to use web browser based ui cgi form to utilize most of capabilities of the application to create fractal images using preset or custom complex number formula. Most settings are explained on the page. For cgi form to remember advanced detailed settings uncheck quick mode box up top