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A comment on The Mandelbrot Monk (1999). Parent comment

Re:The Mandelbrot Monk (1999) by hoseja on Saturday June 05, 2021 @01:52PM (#27407154)
Wow, thanks! Never heard the geometric explanation and it, as usual, is way more intuitive.
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Re:The Mandelbrot Monk (1999) by rocqua on Saturday June 05, 2021 @07:12PM (#27409195)
Consider this formulation of complex numbers:

Unit is 2x2 identity matrix.

imaginary unit is the matrix

    -1 0
     0 1
It is easy to check that imaginary unit squared is -1. And addition and multiplication is just matrices.

It then quickly becomes apparent that all possible matrices you generate _are_ the rotation and scaling matrices. Instead of drawing a connection between rotation and complex numbers, they all of a sudden are the same thing.

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Re:The Mandelbrot Monk (1999) by tpoacher on Sunday June 06, 2021 @02:05PM (#27414959)
surely it should be:

    0 -1
    1  0
instead?
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Re:The Mandelbrot Monk (1999) by rocqua on Monday June 07, 2021 @05:50AM (#27420732)
Wholly correct, sadly I cannot edit anymore :(
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