Cool Movie Links

The Optiverse is a six minute RealPlayer video with an excellent narration that illustrates a technique of sphere eversion called "minimal energy". It is well worth watching.
Another method of sphere eversion is shown in this MPEG video created at the Geometry Center at the University of Minnesota. The same video is also available in quicktime format.
Read about history of sphere eversions as well as a detailed explanation of how the eversion works, mirrored from the Geometry Center .

Discover hyperbolic geometry and other strange spaces in this seven minute narrated RealPlayer movie entitled Post-Euclidean Walkabout.
Our mirror of Olaf Holt's tesseract site provides a demonstration of how to visualize four dimensional shapes. The site includes MPEG video illustrations. You can access the original site here.
What is the four dimensional equivalent of a cube? Check out this MPEG video depiction of a four-dimensional die with 3D faces and dots.
A Klein bottle is a two-dimensional surface that lives in four-dimensional space. Think of a soda bottle whose neck has been passed back through its body -- but in the fourth dimension so that there are no intersections! Here is an MPEG video visualizing its construction.

Check out how a double pendulum displays sensitivity to initial conditions in this narrated ram video.
This six-and-a-half minute narrated ram video shows how chaotic dynamical systems like severe storms can be numerically modeled.
The von Koch snowflake is a self-similar curve with a dimension of (ln 4)/(ln 3) -- yes, that is a fractional dimension which is a little over 1.26. This MPEG video demonstrates its self-similarity. Set your player to loop and you will see what we mean.
The dynamical systems and technology project at Boston University has developed a number of quicktime movies featuring fractal patterns. Check out the one-eyed starfish , a dancing sierpinksi , and this one called spiral mania.
The math department at the University of East Anglia developed two MPEG videos of zooms on the Mandelbrot set: animation the first and animation the second.
If you want to generate more images of the Mandelbrot Set and Julia Sets, take a look at David Joyce's Geometric Pix Gallery, which not only lets you generate images, it explains what they are.

John Sullivan has made an excellent narrated 3 minute RealPlayer video discussing knot theory and knot energies.
Wanna see an MPEG video which demonstrates that a seemingly complicated knot is not (no pun intended)? If you like this video, check out our mirror of Robert Scharein's Knotplot site. There are hundreds of knot images, lots of movies, and all sorts of other stuff. The original site is here.

Sites with lots of movies

A virtual spacetime travel machine has over 800 still pictures and animations describing many interesting mathematical and physical situations.
The CSC has a page of mathematical visualizations and animations.