Fractal and black holes
Most people are impressed with fractals, and there is lots of material. But this one is an amazing 10 min zoom into the Mandelbrot set.
(Alert: If you don’t like the techno music, either switch sound off or check out this version, which has more of a rock music sound track.)
Apparently, the shown fractal is larger than the universe:
The final magnification is e.214. Want some perspective? a magnification of e.12 would increase the size of a particle to the same as the earths orbit! e.21 would make a particle look the same size as the milky way and e.42 would be equal to the universe. This zoom smashes all of them all away. If you were “actually” traveling into the fractal your speed would be faster than the speed of light.
From the universe to black holes: At the University of Stuttgart researchers have developed an application which enables the user to interactively explore the stellar sky in the vicinity of a Schwarzschild black hole (via kottke.org).
They also have videos. See for example this 8 sec simulation, where the observer quasistatically (not that I would want to pretend that I actually understand what that means) approaches the black hole.
So, there is no point. It’s just cool stuff.