We are sorry to say that the Geometry Center is now closed, and has been for a few years. Pester your congressperson.
The Optiverse
Yes, this week, again, a hard-to-find video.
The Optiverse is a different sphere eversion, an optimal eversion.
While you look for the video, you may want to have a look here:
Math from Three to Seven
The awesome book of Alexander Zvonkin’s experience with a young children’s weekly Math Circle, is now at last available in English.
Pasta
UARS
A beautiful superposition of random paths
This week’s image and description is by Jochen Voss: please visit his website http://seehuhn.de
“Each of the lines is a path of a stochastic process. They are all
generated by the same rule, but because of the randomness each path
comes out differently in the end and I drew all of them into the
same picture.
The plane is divided into square cells, and the process is constructed
so that it normally just runs in circles inside one cell but, because
of random fluctuations, from time to time is pushed into a
neighbouring cell. (In technical terms: the picture shows solutions
of a stochastic differential equation.)”
Nbody
A simulation of the N-body problem for iDevice. It’s free, too. Enjoy! Multiple pendulums next week.
http://itunes.apple.com/us/app/nbody/id347962727?mt=8
As Poincaré himself put it, “One is struck by the complexity of this figure I am not even attempting to draw. Nothing can give us a better idea of the complexity of the three-body problem and of all problems of dynamics where there is no holomorphic integral and Bohlin’s series diverge.”
Javaview
Javaview is more than a software, it’s a whole environment for geometric visualization and display. See a few examples at http://www.javaview.de where you can also download the software, or see the Bilder der mathematik book by Glaeser and Polthier.
Javaview is free.
Bilder der Mathematik
We are sorry. This book is, so far, not-yet-available in English. Pester the publisher. However, even non-Germanophones can no doubt enjoy the wealth and variety of visual goodies – and website references – that the book is packed with.
Outside In – Not Knot
This week we have two videos for you, along with two booklets. Everything sold together as a package.
This is serious math, and visual math at its best. Outside In shows the sphere eversion with the Thurston corrugation method. Not Knot shows that most link complements have a structure of hyperbolic space. You need some math background, at the very least you need to be comfortable with “Dimensions” material level; of course, the more the reader’s math background is solid, the better. But, even with a relatively minimal background, you will be highly rewarded.