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Where the Wild Things Are 2: at The
Drawing Center in NY. |
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In
mathematical lore, a topologist is a person who can’t tell the
difference between a coffee cup and a donut, both objects being topologically
the same. Of the many things topologists strive to categorize, one of
the more enigmatic is knots. Though knotting is one of humanity’s
oldest and most widespread activities, being documented in almost every
culture on earth, at first glance it seems an unlikely subject for the
formalisms of mathematics. But at the end of the nineteenth century
mathematicians began to classify these twisted and braided forms, leading
to a vast taxonomy of the species, whose members include the unknot,
ideal knots, tame knots and wild knots. |
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Dr
Kenneth Millett is a professor of mathematics at the University of California,
Santa Barbara. In the 1980’s he was involved in the discovery
of several classes of “knot invariants,” polynomial equations
that help mathematicians to categorize knots, and he participated in
the development of topological quantum field theory. Millett is an authority
on polygonal modeling of knots and is a leading researcher investigating
the spatial characteristics of knotted materials. He is currently working
on applying knot invariants to questions arising in molecular biology,
including the structure of DNA. At the other end of the scale, models
arising from these methods may also be used to study solar storms. |
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Images
courtesy of Rob Scharein and Ken Millett. |
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