Do You Know the Mandelbox Fractal?
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.
Tweet
[ Subscribe to Geeks3D latest news by email ]
Wow! Trippy!
Ouch that FOV really hurts your eyes. A smaller one definitely would have been better.
great!!
[...] The Mandelbox [...]
[...] Do You Know the Mandelbox Fractal? [...]