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.
Unit is 2x2 identity matrix.
imaginary unit is the matrix
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.