The Argument color scheme colors a point by the angle it makes with the positive real (x) axis, in other words, its argument. There are three built-in argument types it can use, the angle on the final point in the orbit, the average of the angles throughout the orbit, and a weighted average of the angles throughout the orbit where the weights are derived from the modulus of the orbit point.
To select a color scheme check the box beside its title. If more then one scheme is checked then the program will combine the selected schemes using the combine method selected. There are three combine methods, minimum, maximum, and average. Minimum will calculate the index of each selected scheme and use the smallest one for selecting the palette color, maximum will use the largest one for selecting the palette color, and average will average the indexes for color selection.
In addition, the plotting can be done in a continuous mode or a discrete mode. In the continuous mode the argument is divided by 2*pi and the result, which is in the 0 - 1 range, is colored by the palette. In discrete mode the circle is divided into the number of colors segments and each segment is colored from the palette. For example, if the number of colors is 2 then angles 0 to pi are colored in the first color and pi to 2*pi in the second. The colors taken from the palette in this case are the first color (i.e. the base color) and the color at 0.5, halfway down the palette. If we used 3 colors then the colors used would be at positions 0, 1/3, and 2/3.
Continuous mode using the final orbit point,
Continuous mode using the average over the orbit,
Continuous mode using the weighted average over the orbit,
Mandelbrot set graphed on the inverse complex plane using angular decomposition with two colors (i.e. a binary decomposition).
