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

../_images/Newton01.svg

Newton, zeros of \(\cos(z)\)#

some text

../_images/Newton04.svg

Modified Newton (containing an error), zeros of \(z^3-1\)#

some text

../_images/Newton02.svg

Modified Newton (containing an error), not converging#

some text

../_images/Newton03.svg

Halley, zeros of \(z^3-1\)#

some text

../_images/Newton05.svg

Halley, zeros of \(\cos(z)\)#

some text

../_images/Newton06.svg

Modified Halley (containing an error), zeros of \(z^3-1\)#

some text

../_images/Newton07.svg