Do You Know the Mandelbox Fractal?


[youtube Xe0tXvepoUI]


A Mandelbox is a box shaped 3d object with a fractal surface and like the Mandelbrot set, a Mandelbox set is calculated by applying a formula repeatedly to every point in space.

The Mandelbrot equation is: z = z2 + c

The Mandelbox equation is: v = s * ballFold(r, f*boxFold(v)) + c
where:
– v: 3d point
– boxFold(v) means for each axis a:

if v[a] > 1 
    v[a] =  2 - v[a]
else if v[a] < -1
    v[a] = -2 - v[a]

- ballFold(r, v) means for v's magnitude m:

if m < r
    m = m/r^2
else if m < 1 
    m = 1/m^2

The standard Mandelbox uses this formula with s=2, r=0.5 and f=1.


[youtube 3h7Rtv9kflo]

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5 thoughts on “Do You Know the Mandelbox Fractal?”

  2. DrBalthar

    Ouch that FOV really hurts your eyes. A smaller one definitely would have been better.

  4. Pingback: Real-Time Rendering · Benoit Mandelbrot dies at 85

  5. Pingback: Benoît Mandelbrot Died Last Thursday at 85 - 3D Tech News, Pixel Hacking, Data Visualization and 3D Programming - Geeks3D.com

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