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|newpage| Newton Fractals ============================================================== See also: http://yozh.org/2012/10/02/newton_fractals/ See also: http://www.3d-meier.de/, Mandelbrot und Julia Mengen See also: https://en.wikipedia.org/wiki/Newton_fractal Newton, zeros of `z^3-1` -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton01.* :width: 50 % |newpage| Newton, zeros of `\cos(z)` -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton04.* :width: 50 % |newpage| Modified Newton (containing an error), zeros of `z^3-1` -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton02.* :width: 50 % |newpage| Modified Newton (containing an error), not converging -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton03.* :width: 50 % |newpage| Halley, zeros of `z^3-1` -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton05.* :width: 50 % |newpage| Halley, zeros of `\cos(z)` -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton06.* :width: 50 % |newpage| Modified Halley (containing an error), zeros of `z^3-1` -------------------------------------------------------------------------------- some text .. image:: ../_static/Combining2D3D/Newton/Newton07.* :width: 50 %