Critical knots for minimum distance energy and complementary domains of arrangements of hypersurfaces

In this thesis, we will discuss two separate topics. First, we find a critical knot for an knot energy function. A knot is a closed curve or polygon in three space. It is possible to for a computer to simulate the flow of a knot to its minimum energy conformation. There is no guarantee, however, tha...

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Bibliographic Details
Main Author: Hager, William George
Other Authors: Simon, Jonathan K.
Format: Others
Language:English
Published: University of Iowa 2010
Subjects:
Online Access:https://ir.uiowa.edu/etd/679
https://ir.uiowa.edu/cgi/viewcontent.cgi?article=1864&context=etd