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Complex Numbers 101

A complex number x+yi has two parts: a real part x and an imaginary part. The symbol i denotes the square root of -1. For purposes of this game, you can think of x and y as coordinates on a 2D plane, like this:

This is called the ``complex plane''. A complex number can also be represented by polar coordinates, like this:

The magnitude is the distance from the origin. The phase is the angle with the positive real axis.

In the game, your ``self'' is a point in the complex plane. The Fourier Transform converts this point to a wave pattern of complex numbers, displayed as colors. The ``Radar'' portion of the display shows the color of the numbers in the complex plane. For example, in the default ``complex'' coloring, the phase is shown by color, and the magnitude by brightness. In the ``magnitude'' coloring (grey), the numbers are colored shades of grey based solely on their magnitudes.

The angular sweep-and-fade of the radar is for show only. The coloring within the Fourier portion of the display does not fade likewise.

Back to "Radar"