Systems and distance estimator functions were developed by the fractal forums community as described in the eight-part blog series by Syntopia:
http://blog.hvidtfeldts.net/index.php/2011/06/distance-estimated-3d-fractals-part-i/
Visuals (programming and design) by Marcus Volz created with Houdini, Copernicus and OpenCL.
Sound by Marcus Volz created with AbletonLive.
The shader implementation uses raymarching and the Phong lighting model (ambient + diffuse + specular) with ambient occlusion:
https://en.wikipedia.org/wiki/Phong_reflection_model
Amazing Surface Fractal
Developed by Kali / DarkBeam
Historical link: http://www.fractalforums.com/mandelbulb-3d/custom-formulas-and-transforms-release-t17106/
Based on the distance estimator implementation in Mandelbulber:
https://github.com/buddhi1980/mandelbulber2/blob/master/mandelbulber2/formula/opencl/amazing_surf.cl
Dodecahedral Kaleidoscopic IFS Fractal
System and distance estimator by knighty / fractalforums (2010):
Historical link: https://www.fractalforums.com/sierpinski-gasket/kaleidoscopic-(escape-time-ifs)//)
Based on the distance estimator implementation in Fragmentarium:
Icosahedral Kaleidoscopic IFS Fractal
System and distance estimator by knighty / fractalforums (2010):
Historical link: https://www.fractalforums.com/sierpinski-gasket/kaleidoscopic-(escape-time-ifs)//)
Based on the distance estimator implementation in Fragmentarium:
Mandelbox
Mandelbox by Tom Lowe (2010):
https://sites.google.com/site/mandelbox/what-is-a-mandelbox
Distance estimator described by Mikael Hvidtfeldt Christensen (Syntopia):
http://blog.hvidtfeldts.net/index.php/2011/11/distance-estimated-3d-fractals-vi-the-mandelbox/
Mandelbulb
Developed by White & Nylander (2009).
Description and distance estimator provided in the blog series by Mikael Hvidtfeldt Christensen (Syntopia):
http://blog.hvidtfeldts.net/index.php/2011/06/distance-estimated-3d-fractals-part-i/
Menger Sponge Kaleidoscopic IFS Fractal
System and distance estimator by knighty / fractalforums (2010):
Historical link: https://www.fractalforums.com/sierpinski-gasket/kaleidoscopic-(escape-time-ifs)//)
Octahedral Kaleidoscopic IFS Fractal
System and distance estimator by knighty / fractalforums (2010):
Historical link: https://www.fractalforums.com/sierpinski-gasket/kaleidoscopic-(escape-time-ifs)//)
Pseudo Kleinian 3D Fractal
Developed by Theli-at / Knighty / fractalforums:
http://blog.hvidtfeldts.net/index.php/2012/05/distance-estimated-3d-fractals-part-viii-epilogue/
Based on the distance estimator implementation in Fragmentarium:
Quaternion Julia Set Fractal
Developed by (Hart et al, 1989). Background and distance estimator:
https://www.cs.drexel.edu/~deb39/Classes/Papers/rtqjs.pdf
Tetrahedral Kaleidoscopic IFS Fractal
System and distance estimator by knighty / fractalforums:
Historical link: https://www.fractalforums.com/sierpinski-gasket/kaleidoscopic-(escape-time-ifs)//)