Order from Order: 3D Fractal Landscapes

 
Fractal Landscapes plotted as wholes (mesh method)
 

Mandelbrot hill (mesh plot)
Python 3 code

Julia hill (mesh plot)
Python 3 code

Newton method hill (mesh plot)
Python 3 code
 

Mandelbrot valley (mesh plot)
Python 3 code

Julia valley (mesh plot)
Python 3 code

Newton method valley (mesh plot)
Python 3 code

 

 

Fractal Landscapes plotted as wholes (contour method)
 

Mandelbrot hill (contour plot)
Python 3 code

Julia hill (contour plot)
Python 3 code

Newton method hill (contour plot)
Python 3 code
 

Mandelbrot valley (contour plot)
Python 3 code

Julia valley (contour plot)
Python 3 code

Newton method valley (contour plot)
Python 3 code

 

 

Fractal Landscapes plotted sequentially
 
 

Mandelbrot set (z^2+c, zo=0)
POV Ray 3.7 code
View animation

Julia set (z^2+c, c=−0.7454294)
POV Ray 3.7 code
View animation

Newton method set (z^4+1=0)
POV Ray 3.7 code
View animation

 

 

step 1

 

 

step 2

Julia set (z^2+c, c=0.27334)
POV Ray 3.7 code
View animation

 

step 3