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
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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.