Geometry of Pasta

This is a fun slideshow of images from architect George Legendre’s book “Pasta by Design”

http://tmagazine.blogs.nytimes.com/2011/09/27/using-his-noodle/

The slideshow, from the on-line New York Times Style magazine, shows a few different renderings of pasta shapes.  The book, apparently, contains actual cooking directions as well as these technical schematics.

It appears as though Legendre used a graphing utility like Mathematica or Maple to sketch out his pastas.  A creative, and fun, application of this technology!

Problem of the Week Archive

This is a great resource:  an archive of Problems of the Week from MathCounts.org.

https://mathcounts.org/Page.aspx?pid=1573

MathCounts is a national math enrichment organization that, among other endeavors, runs a middle school math competition every year.  Their “Problem of the Week” is typically aimed at middle school students, but these problems may also be of interest to high school students and teachers.

There are over 10 years of math problems in the above archive.  The problems range in scope from basic “Math Team” style questions to thematic questions based on current events, dates, and holidays.

Mathematics of Lightning

Here’s a fun challenge suggested by Matt Henderson:  can you find a mathematical model for the path of a bolt of lightning?

You can check out this video of a lightning strike to get the ideas flowing:

http://www.youtube.com/watch?v=2XwFF5idD_0

The tree structure suggests graph theory, the bifurcations suggest dynamical systems, and the inherent physics suggest that some complicated differential equations might be involved.

 

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