Order from Order: 3D Fractals with Cylindrical Symmetry

 
3D Fractals with Cylindrical Symmetry plotted sequentially
 
3D Fractals with cylindrical symmetry are obtained by a complete rotation of a 2D fractal endowed by a symmetry axis around this latter. Upper and lower bounds have been imposed to the escape rate of the iterated summation law in order to evidence the internal details of each fractal structure.
 

Mandelbrot 2d (carved)
POV Ray 3.7 code

Julia 2d (carved, c = -0.7454294)
POV Ray 3.7 code

Newton method 2d (carved)
POV Ray 3.7 code
 

Mandelbrot 3D Open Section
(Cylindrical symmetry)

Julia 3D Open Section
(Cylindrical symmetry)

Newton method 3D Open Section
(Cylindrical symmetry)

 

Mandelbrot 3D Partial Sections
(Cylindrical symmetry)
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Julia 3D Partial Sections
(Cylindrical symmetry)
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Newton method 3D Partial Sections
(Cylindrical symmetry)
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Mandelbrot 3D Closed
(Cylindrical symmetry)
POV Ray 3.7 code
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Julia 3D Closed
(Cylindrical symmetry)
POV Ray 3.7 code
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Newton method 3D CloseD
(Cylindrical symmetry)
POV Ray 3.7 code
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