Mathematical Imagery by Jos Leys

3D Fractals

A small collection of 3D Mandelbrot and Julia fractals made with various formulas.
"Julibrots" : are four-dimensional. In the formula with complex numbers z^2+c, two dimensions come from c, and two from the start value of the iteration.
"The Mandelbar": the slice in the xy plane is the 2D Mandelbrot, and the slice in the xz plane is the "tricorn", that has the formula conj(z)^2+c.

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3D Mandelbrot degree 2

3D Mandelbrot degree 3

3D Mandelbrot degree 4

3D Mandelbrot degree 5

Julibrot 1

Julibrot 2

Julibrot 3

Julibrot 4

Julibrot 5

Julibrot 6

Julibrot 7

Julibrot 8

Julibrot 9

Mandelbar

Mandelbar Julia 1

Mandelbar Julia 2

3D Mandelbrot detail

Mandelbar detail 1

Mandelbar detail 2

Mandelbar detail 3

Mandelbar Julia detail

Mandelbar Julia 3

Julibrot 10

Mandelbar Julia 4

Burtor Julia 1
Formula by Douglas Burtor

Burtor Julia 2
Formula by Douglas Burtor

Burtor Julia 3
Formula by Douglas Burtor

Burtor Julia 4
Formula by Douglas Burtor
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Copyright 2017 Jos Leys