fly through a 3d fractal

[teamfresh]

http://www.hd-fractals.com/flight-inside-tglads-mandelbox/

 

[TSPenguin]

Very nice. I hope to see more of those in the future!

 

[teamfresh]

there is definitely more to come....

 

[Shadow Addict]

That kinda blew my mind.

 

[RisingFury]

Just please don't tell me that this thing has an infinite surface area, but a finite volume h:

 

[Salamander]

does anyone know how it's calculated?

 

[Quick_Nick]

does anyone know how it's calculated?

http://sites.google.com/site/mandelbox/what-is-a-mandelbox

Like the Mandelbrot set a Mandelbox is calculated by applying a formula repeatedly to every point in space. That point v is part of a Mandelbox if it does not escape to infinity.
In fact it replaces the Mandelbrot equation z = z2 + c with:
v = s*ballFold(r, f*boxFold(v)) + c
where 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]
and 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.

 

[Shadow Addict]

http://sites.google.com/site/mandelbox/what-is-a-mandelbox

Looking through this site, there are some amazing pictures here.

ELP definitely goes well with those images. I'm listening to Tarkus now and it fits perfectly with (what I consider to be) the mind-blowing complexity of those.

---------- Post added at 08:37 PM ---------- Previous post was at 07:56 PM ----------

... I think this topic might have instilled a love of fractals in me. I feel sort of obsessed at this point.

 

[Quick_Nick]

... I think this topic might have instilled a love of fractals in me. I feel sort of obsessed at this point.

You should definitely check out the Mandelbulb if you haven't already.

---------- Post added at 11:07 PM ---------- Previous post was at 11:03 PM ----------

Just please don't tell me that this thing has an infinite surface area, but a finite volume h:

I'm thinking that is the case. If you put enough precision into a sim of the box, you get more and more little floating boxes all over the place. And I'm guessing that the surface of any part of the Mandelbox has infinite detail just like the Mandelbrot. But surely it has finite volume in the same way the Mandelbrot has finite area. The smaller and smaller boxes and bumps can probably 'come together' like with integration.