# Math 22a Fall 2018

## 22a Linear Algebra and Vector Analysis

# Wind Sculptures

Near the restaurant Bluemlismatt in Egerkingen (Switzerland), there is a nice**wind sculpture**made by Toni Obrist. Google Maps . Mathematically, these wind games are coupled penduli. More specifically, they are driven Hamiltonian systems. It is surprisingly hard to write down the differential equations of such a system without using some theory, the theory of Lagrangian mechanics, which is studied by Mathematicians into a field called Hamiltonian geometry which belongs both to geometry as well as dynamical systems theory. Here is a javascript animation from 2015.

**Direct Media Links:**Webm, Ogg Ipod ;

Movie, curtesy of Hildegard and Marcus Knill (September 2018).

Here is some information about the artist, who lives in Starrkirch Wil.