Amazing 3-D Mandelbrot images!

[SteveA]

These are some of the absolutely most amazing math images I've seen:

http://www.skytopia.com.nyud.net:809...andelbulb.html

Here's one showing some level of detail in the zoom:

http://www.youtube.com/watch?v=-SSQM...eature=related

(Now imagine that with color and dynamically modulating parameters ...)

A drop of water in slow motion

http://www.youtube.com/watch?v=vIN2z2cO0-w

And some more:

http://www.youtube.com/watch?v=LJGH0...eature=related

http://www.youtube.com/watch?v=-0ecT...eature=related

http://www.youtube.com/watch?v=6w6vo...eature=related

http://www.youtube.com/watch?v=3h7Rt...eature=related

And there are still a lot of degrees of freedom left on these as well, though it would get confusing rather quickly. A 4-D one would be similar to 3-D but with waves and periodic features flowing across it (though in a way, those are already in there, if the projection is right).

[KWAOUAR]

To read between the lines, we have these branches from nature that can give us futuristic energy nodes

maybe we are talking singularity complexities here

[SteveA]

I think the way to avoid singularities it to find the best solution that takes as much into consideration as possible. It's taking the long way around things, but I believe the scenery is best that way So remember all the problems that need fixing.

Looks like people have been finding quite a few classes of these objects already (and that's still just the start! ):

"Hyper"-Complex Fractals
http://www.bugman123.com/Hypercomplex/index.html

[KWAOUAR]

I believe singularities are good

[SteveA]

I believe singularities are good

I'm skeptical, but it's definitely a point of reference ... lots of stuff to explore

[SteveA]

I know ... too many videos. These are amazing though. Here's a "JuliaBulb" (which is a complimentary representation of the "Mandelbulb" - as an analogy, it's sort of like one showing density and the other showing flow, or potentially similar to electrical versus magnetic representations).

http://www.youtube.com/watch?v=QZeRa0NPF5s&feature=fvw

[SteveA]

(Arrggghhh ... can't resist posting some more finds ... yep, I'm an addict!)

Here are some amazing images at this link: http://www.flickr.com/photos/subblue...n/photostream/











That's a colorful "Mandelbulb" at this link (it's large, so here's just the link): http://makinmagic.deviantart.com/art...rden-144177767