Triangle Inequality Average

The Triangle Inequality Average coloring algorithm creates smoothly 

colored fractals with large flame like patterns that extend from the 

fractal outwards.

Because it uses the same smoothing as Smooth (Mandelbrot), it only 

works with most divergent fractal formulas, such as 

Mandelbrot

 and 

Julia

.

There are two parameters available: Exponent and Bailout. These should be set to match the 

corresponding parameters of the fractal formula. Otherwise, the coloring will not be smooth.

Use very large bail out values for good results. The default value 1e20 (a 1 with 20 zeroes) is a good 

starting point. The 

Mandelbrot (Built in)

 formula cannot handle such large values, so use the non 

built in 

Mandelbrot

 instead.

See Also

Orbit Traps

Standard coloring algorithms

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