HOME | DD

Description
I came across a formula shown on Mathstodon yesterday that can be used to create detailed fractal structures.
This is a reprogramming in Fragmentarium (an open source GLSL shader editor)
I named it Tribo, which includes the term "tri" which usually means three, which fits the symmetry of this image.

The formula used for this is:

z[0] = x + y*i, where x and y are the image coordinates

z[n+1] = i / ((a / z[n] - b/ z[n]) * e ^ (a / z[n] + b / z[n]))

where a and b are complex valued coefficients, controlling the behavior and structures of the result.

the color is generated by the HSL color space (converted to RGB) namely H = 0, S = 0, L = clamp(|z[250]|, 0, 1).

Description
I came across a formula shown on Mathstodon yesterday that can be used to create detailed fractal structures.
This is a reprogramming in Fragmentarium (an open source GLSL shader editor)
I named it Tribo, which includes the term "tri" which usually means three, which fits the symmetry of this image.

The formula used for this is:

z[0] = x + y*i, where x and y are the image coordinates

z[n+1] = i / ((a / z[n] - b/ z[n]) * e ^ (a / z[n] + b / z[n]))

where a and b are complex valued coefficients, controlling the behavior and structures of the result.

the color is generated by the HSL color space (converted to RGB) namely H = 0, S = 0, L = clamp(|z[250]|, 0, 1).