Recursion - Animated Dragon Curve

Ray tracing of a Dragon Curve created by recursive unfolding. Created using POVRAY.

Category:

Film & Animation

Tags:

• POVRAY
• animation
• ray-tracing
• recursion
• math
• dragon

[Aswarp]

Disfruto mucho con el vídeo, pero no es completamente correcto desde el punto de vista matemático. Para hacer una fractal dragón en tres dimensiones habría que desdoblar la trayectoria seguida hasta el momento en los tres ejes del espacio simultáneamente. Sin embargo lo que se presenta es una composición de tres rotaciones ortogonales del caso bidimensional para la fractal dragón, que solamente se desdoblan cada una, en las dos dimensiones del plano que las contiene.

[Cryogenius]

Yes it's true that this is not a true 3-D dragon curve. Doing the recursion in three dimensions is a slow work in progress, but I will keep at it now that I have been inspired by your comment.

[Cryogenius]

WHFan - For this animated version I did not use "turn left/turn right" macro's like you would for a static curve. I had to do it manually: a) make an object, b) unfold the object, c) call the unfolded object a new object and then then unfold that, and d) repeat. There is probably a more elegant way to do it than I did but even this brute force method overheated a few neurons as I thought hard about trig functions.

[METAL4EVER911]

that is an extremely confusing pattern.

[nintencat]

...slowly, but surely, they drew their plans against us...

[vibol03]

wow probs to whoever made this!

[oaskaspokas]

0:14 looks like a 3D swastika

[44kzm]

Cool!

[FractAlkemist]

reminds me just a little of that thing in one of the "Cube" movies

[Robosos]

this is a good animation

[absulitcr]

That's Huge!!!

How long did take the rendering?

[Rashoni]

0.0... wow....