Welcome to Fractal Forums

Hi! I have this idea I would just love to see an implemention of.
The famous Mandelbrot and Julia sets are just 2D slices of a 4D object, and you can also view slices from many different angles to get a completely different result. You can also view 2D slices of any other object, i.e. a cone.
Now let's consider an object which is 3D even though we often do not think of it as one, namely a movie. The three dimensions in a movie are of course the two dimensions of the individual frames, and time. A movie can therefore be considered as a box, where each frame is a different cross-section.
What would it look like if you viewed a completely differently angled slice? And if you made the slice move through the box at different angles, you've suddenly made the movie 4D! And instead of using an inclined plane as the slice, you could view the box from the top and use a bump map or alpha channel to view parts of different frames at once. You could even make it interactive, by having the mouse movements creating ripples in the bump map. (Or ripples in time, if you consider it that way. It sounds cooler, too :))
I propose using a flame animation or an electric sheep as the movie, as these have smooth organic movements and do not feature scene cuts. Besides, they're fractal and therefore fits this forum.

I hope I've made my point clear, and I await a mind-boggling animation or a program.

Sorry to bump this old thread but I just happened to come across the app that does exactly that today here (http://wonderfl.net/code/18f74cae690c882e0765189fedef2150f6d55638#) - just click and drag. Nothing ultra spectacular, just to get you an idea what that looks like.

I just happened to find an amazing video as well! This is Singin' in the Rain like you've never seen it before.
http://www.youtube.com/watch?v=HmWljCI_4Ok

Omg, that's trippy but great :D
I wonder which amplitude they use :)
Seems to be pretty sinodial...

This is also a nice one:
http://www.k2.t.u-tokyo.ac.jp/members/alvaro/Khronos/
http://www.k2.t.u-tokyo.ac.jp/members/alvaro/Khronos/Khronos_P5/Khronos_Jefo.html

Now I'd like to see the 4D-Version of that, where actual parts of the full 3D-space haven't progressed as much as others :)

There is a "scientific" name for this, but now of course i've forgot it. The original way of doing this is actually mechanical rather than electronic, with still images, using a moving slot to expose a line of the film as the subject moves in front of the camera. Doing it with moving images requires electronics, of course, but this process has been known almost as long as video. You can also make a still image "index" of a movie by taking one line from each frame of it.

slitrecording or something like that...
Just read it yesterday and forgot the exact name already xD

Found it!

http://en.wikipedia.org/wiki/Slit-scan_photography
http://www.flong.com/texts/lists/slit_scan

This one lets you do it live:

http://www.caseypugh.com/slitscan

See, I was close :)