Newton Fractals#

See also: http://www.3d-meier.de/, Mandelbrot und Julia Mengen

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

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D01a_Newton1.py, and the XML code in the file D01a_Newton1.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D01b_Newton1.py, and the XML code in the file D01b_Newton1.2D.xml.

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

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02a_Newton2.py, and the XML code in the file D02a_Newton2.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02b_Newton2.py, and the XML code in the file D02b_Newton2.2D.xml.

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

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D03a_Newton3.py, and the XML code in the file D03a_Newton3.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D03b_Newton3.py, and the XML code in the file D03b_Newton3.2D.xml.

Modified Newton (containing an error), not converging#

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D04a_Newton4.py, and the XML code in the file D04a_Newton4.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D04b_Newton4.py, and the XML code in the file D04b_Newton4.2D.xml.

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

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05a_Newton5.py, and the XML code in the file D05a_Newton5.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05b_Newton5.py, and the XML code in the file D05b_Newton5.2D.xml.

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

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D06a_Newton6.py, and the XML code in the file D06a_Newton6.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D06b_Newton6.py, and the XML code in the file D06b_Newton6.2D.xml.

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

The Python code for the example below, without using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07a_Newton7.py, and the XML code in the file D07a_Newton7.2D.xml.

The Python code for the example below, using numba, can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07b_Newton7.py, and the XML code in the file D07b_Newton7.2D.xml.

Newton Fractals

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