Gaussian Integer

The Gaussian Integer coloring algorithm colors fractals according to how 

the calculated orbits are related to Gaussian integers.

Gaussian integers are complex numbers normalized to integer values. 

This coloring algorithm examines the values of z calculated by the 

fractal formula, and tests them against nearby Gaussian integers.

The resulting images are richly textured, containing many circles, dots, and stars. By tweaking the 

provided parameters, many variations are possible.

The following parameters are available:

Specifies the rounding method to use to find the nearest Gaussian 

integer. The round(z) option usually gives smoother images than the 

Integer Type

other options.

Selects how the color of each pixel is determined. For example, it can 

be colored by the minimum distance from a value of z to the nearest 

Color By

Gaussian integer.

Chooses between several ways of normalizing the distance to the 

nearest Gaussian integer. If you select factor or f(z), an additional 

Normalization

parameter will appear that specifies the normalization factor or 

function to use.

If checked, a small randomization factor is added to each value of z 

before examining its behavior. Additional parameters will appear to 

Randomize

specify the amount of randomization and a seed value. Each seed 

value will give different randomization patterns.

See Also

Orbit Traps

Standard coloring algorithms

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