On Tue, 20 Nov 2007, Frank Barknecht wrote:
I still don't exactly understand why one couldn't just use (x, y) vectors;
You *are* just using (x,y) rsp. (angle, radius) vectors. You can completely ignore the meaning of i as sqrt(-1) and just view "i" as the funny name of the second axis in a 2d-coordinate system.
You can see "i" as a 90-degree rotation, that turns x-axis values into y-axis values, and y-axis values into negated x-axis values, and so on.
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