There is an interesting article in the NY Times that focuses on
a few mathematicians with too much time on their hands and
the mathematical insights they have had about the shapes of
pasta.  The article can be accessed here:
http://www.nytimes.com/2012/01/10/science/pasta-inspires-scientists-to-use-their-noodle.html?src=recg

One aspect of this is coming up with the equation that describes
the shape of pasta and then using a program like Mathematica
to visualize the resulting shape.  For an example involving the
pasta gemelli, see:
http://shuisman.com/?p=369

For more experienced pasta eaters, here are a variety of pastas:
http://shuisman.com/?p=1314

And for those whose appetites have been whetted, here is a
book devoted to the topic titled "Pasta by Design"; see:
http://www.thamesandhudson.com/9780500515808.html

Now, I think that this represents a good example of how to
show the basic mathematical nature of objects in physical
reality even though most people would not be aware of the
mathematics involved (one of the persons mentioned in the
NY Times article claims to have used test items on his
exams where the student had to match the correct equation
to a specific pasta -- talk about understanding what the
equation is about!).

Too bad that the "shape" of human thought does not allow
itself to such description.  I'd love to have an exam question
of the form:  "match the 'thought' to the appropriate equation". ;-)

-Mike Palij
New York University
[email protected]

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