my daughter Kathy has been my assistant in soap film demonstra-
tions over the years and I would like to tell her here how much I
appreciate that. In fact, the photographs of soap films in Chapter 1
were taken by Kathy Oprea and Katie Cline. These demonstrations
and photographs are the outgrowth of a grant from Cleveland State
University which enabled me to commission the sculptor Ron Dewey
to create the wireframes needed for experimentation. Thanks to CSU
and to Ron for his fine work. Finally, I'd like to thank my wife Jan
for her support and for giving me my own small part of the house for
my wireframes, a bucket of ever-ready soap solution and all the rest
of my toys.
John Oprea
oprea@math.csuohio.edu
http://math3.math.csuohio.edu/~oprea
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