Fractals and Splines

[kronikel]

I came across this video a while back - <a href="http://www.youtube.com/v/jEjZl2nqcAU&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/jEjZl2nqcAU&rel=1&fs=1&hd=1</a>
and learned some new interesting things, so I figured I'd share it here. (it may take a little while to get interesting)

Since I've gotten into fractals my definition of fractal keeps getting more and more broad.
And this made me see a new found relationship between fractals and lines / splines.
This lead me to a new (or at least new to me) way of rendering 3d fractals.

[kram1032]

Hmm...
Bezier Curves do have a defined general derivative.
Are those derivatives plotable in a similar way by iteratively splitting the intervals? Because then you could probably plot, say, the derivative of a Koch Curve...

[lycium]

it's great to have you back, mark! 

[kram1032]

Heh, yeah, it is for me too
Let's hope I find a connection to this forum as I had it before I paused the visits for quite some time...

Lots of stuff has changed since I last visited. I'm now a physics student. - even though I never ever would drink that, heh

[cKleinhuis]

lycium is relatively calm, but has never been gone