Maybe my understanding of fractals is wrong, but if you zoomed into a certain section of it and kept aiming for the smaller versions of that section, couldn’t you just render or animate a few seconds and repeat?

Well, fractal self-similarity doesn’t necessarily imply that the stuff at smaller scales is visually indistinguishable from stuff at larger scales. Certainly there are fractals where an infinite zoom can be represented as a simple cycle.

However, while of course everyone has their own idea of beauty and so generally speaking, people who spend a lot of time looking at fractal zooms tend to like structure that exhibits both variety and self-similarity such that exploration provides the kind of interesting tours seen in the video.

I’d love to see some of these Mandelbox videos in anaglyph 3D.

]]>For example, the Sierpinski triangle is mostly just triangles within triangles within triangles – you could get a similar infinite-zoom effect doing what you described. It’s not nearly as interesting though.

However, the Mandelbrot set is far more complex, and the further you zoom in – the more complex and varied the patterns get, and zooming in on different parts of the set gets different results. It’s not just the same patterns repeating over and over. Maybe look at a view 3D-zooms of the set and you’ll see how varied the patterns actually are.

When combined with 3D exploration of the set – the structures get even more interesting and varied.

]]>(ubu: http://is.gd/el2VN)

What a pleasure to see and hear! ^_^

â™¤jm

]]>That was intense Pesco, thanks. :)

]]>The films here are not of the Mandelbulb, but they are films of fractal geometry — a different kind of fractal geometry.

]]>http://www.youtube.com/watch?v=bO9ugnn8DbE

i think he used fogging to decrease rendering time

Simply gorgeous. I could stare at this all day.

]]>All the last ones were done with the same software as the first video shown in this post. ]]>

The year I read the Scientific American description of the maths behind the Mandelbrot (1990), I commandeered a suite of proto-pcs and ran my home-brew mandelbrot generator on it. Several DAYS of computing power produced a handful or 320×240 16-color single-frame renderings of some mandelbrot slices.

I petitioned my school to get a copy of “Nothing but Zooms” and will NEVER forgive my brother for taping over my copy with his cartoons.

To see this production is – beyond-words.

]]>To see this–amazing.

]]>http://www.youtube.com/watch?v=3FoupqgbDkk ]]>