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Complex numbers offer an orthogonal dimension to the integer number line , where multiplication aquires a rotational element. This allows intermediate 90° (π/2)
by deepnet 10y ago
Complex numbers offer an orthogonal dimension to the integer number line , where multiplication aquires a rotational element. This allows intermediate 90° (π/2) multiplication and Julia's Set is shown to be a map to Madelbrot's Fractal. https://acko.net/blog/how-to-fold-a-julia-fractal/ https://acko.net/blog/how-to-fold-a-julia-fractal/
Also the fourier transform is much more obvious in the imaginary plane. https://acko.net/tv/toolsforthought/ https://acko.net/tv/toolsforthought/
- deepnet 10y agoThat the Julia set and the Mandelbrot set are covariant maps on the 2D complex plane hints at the higher dimensional shape that surface Z^x + c = 0 describes.