期刊名称：Hyperseeing / The International Society of the Arts, Mathematics, and Architecture
出版年度：2009
卷号：2009
出版社：Albany, NY : Isama
摘要：Robert Bosch is Robert and Eleanor Biggs Professor of Natural Science at Oberlin College. In
addition to a career in mathematics, he has a second career as a graphic artist and has developed
original techniques for generating very impressive images. In particular, he adapted the
Travelling Salesman Problem (TSP) in order to create amazing prints that are composed with one
continuous meandering closed path, where closed means the path begins and ends at the same
point, like a circle. Now a circle separates the plane into two disjoint regions, inside the circle
and outside the circle. In general, the TSP path is a closed continuous curve with no selfintersections
and also separates the plane into two disjoint regions that can be referred
to as the inside and the outside. The two regions can be colored with two different colors to
obtain two-color prints. Applying this colorful embellishment of the TSP, Bosch has created
two-color prints on the theme of knots and links. He has also composed striking images using
sets of dominoes by applying the technique of integer programming. Thus Bosch has applied the
mathematical techniques of the TSP and integer programming to create very original artworks.
Examples of these artworks will be discussed below.
