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3/24/04
Fun,
by numbers
By
Jay Hardwig
Yes,
your honor, I did it.
Last Thursday, just after sunset, I got in my car, leaving behind
the wife, the kids, and the first round of the NCAA hoops tournament,
and drove across town to attend a math lecture. And I did it of
my own free will.
Now that may not be your idea of fun, and truth told, its
not mine either. But UNCA was hosting John Conway, famous math guy,
and promised that his talk would be geared to the general audience.
As your resident wide-ranging earnest affable fearless topic-hungry
A&E columnist, I thought it was important to get out and report
on the lecture. Yep, folks, it was time to review a math show.
Immediately upon arrival, I noticed some key differences between
the UNCA gig and your typical rock-n-roll show. The audience more,
well, collegial, and the age range had a different skew: everyone
seemed to be either in their early 20s or mid-50s. Many of them
possessed what could only be called a mathematicians sense
of fashion, so I fit right in. The start was early (7 p.m.!) and
there were no beer sales (no wonder the crowd was so subdued). It
was an astute crowd, no doubt, and I didnt look quite so strange
scribbling furiously in my notebook as I do at an Orange Peel gig.
The warm-up act was positively staid. On an overhead projector,
the following words greeted the arriving fans: In the sequence 1,
4, 75, 28, 8 ... what are the next few terms?
Before I had time to work that one out — I would have needed
at least four years and some graduate coursework — the star
of the show ambled to the front of the room and greeted the adoring
crowd. John Conway is widely known for his work in number theory,
group theory, game theory, knot theory, coding theory, and tilings
(there was no word on bathtub installation).
He started by giving the answer to his warm-up problem (56 and 375,
naturally), and explained that there were just seven groups of order
in 375, and that 375 is the smallest number with seven groups, and
I can tell you right now that made me feel a lot better, just knowing
that.
Then he started in on his talk, titled Knots and Tangles,
which had to do with the mathematical models one can use to identify
styles of knots and tangles. Observers may have noted that my scribbling
subsided shortly after the lecture started, as a dense fog descended
on my head. The talk may have been aimed at a general audience,
but Im afraid I was even more general than Dr. Conway had
counted on. Im very very general on the subject of math.
It was amusing nonetheless. Dr. Conway has a charming, almost avuncular
style about him, and I give him high marks for both humor and humility.
Have you ever heard people laughing aloud at a math lecture? As
of last week, I have.
Dr. Conway proceeded to talk of the Bangle of Tangles, the Knumbering
of Knots, and the wily Modulos, and for a moment I thought I was
trapped in a childrens adventure novel set in the magical
wilds of Numberland. Perhaps I was.
As he progressed from knots to tangles, Dr. Conway pulled out two
jump ropes, recruited five audience members, and proceeded to demonstrate
the mathematical properties of tangles with a nifty audience-participation
bit. Yes, folks, it was math as a spectator sport, with folks from
the audience shouting suggestions, encouragement, and occasional
imprecations at the assembled volunteers. Dr. Conway took our meandering
solution in stride, although at one point he was compelled to shout,
Youre a bunch of dummies! Dummies we might have
been, but at the end it was Dr. Conway who was down on his knees,
tearing up a plastic grocery bag with his teeth. (I kid you not.
Ive been to a lot of rock-n-roll shows, but rarely have I
seen anything so primal. The bag was a prop for the tangle demonstration,
and he needed to tear it apart for the grand finale. Apparently
he left his scissors at home.)
In the end, Ill admit, the math show was rather fun, even
if it was a cerebral sort of fun. It was a free show, I got home
early, and my eardrums didnt throb the next morning. Ill
admit that I didnt understand much, but I didnt understand
much the last time I saw Bob Dylan either, and I liked that show
too. Well done, Dr. C.
The Great Gordo sez: four stars.
(Jay Hardwig is a writer and teacher who lives in Asheville.)
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