Statistically Solving Crossword Puzzles

I am lover of crossword puzzles.  I do the NYT crossword puzzle regularly, I’ve competed in the American Crossword Puzzle Tournament, and I’ve even dabbled in constructing puzzles myself.

There’s a great deal of crossover between math lovers and crossword puzzle lovers, and one example of this crossover is Matthew Ginsberg.  Ginsberg is a regular puzzle constructor, has a PhD in math from Oxford, and is an expert in artificial intelligence.

Not a huge stretch, then, that he has developed a rather effective crossword puzzle solving robot, Dr. Fill, that is now challenging the top human performers .

Ginsberg runs a company that produces software for the Air Force that helps calculate the most efficient flight path for airplanes.  Here’s the cool part:  “Some of the statistical techniques [used to calculate optimal paths of airplanes] are also handy, it turns out, for solving crossword puzzles.

Yet another example of how statistical reasoning is emerging as primary tool in modern science and society!

Spherical Geometry Explorer

This is a simple and powerful tool for exploring some basic ideas of spherical geometry.

http://www.math.psu.edu/dlittle/java/geometry/spherical/toolbox.html

In addition to investigating points, lines, and line segments on the surface of sphere, you can construct triangles, antipodes, and even circles in spherical geometry!

A picture may be worth a thousand words, but a good interactive spherical geometry applet is worth a thousand well-drawn diagrams!

GIF Animations of Simple Machines

World of Technology has several great GIF animations demonstrating some fundamental mechanics:

http://mytechnologyworld9.blogspot.com/2010/08/complicated-mechanisms-explained-in.html

Seen at right is the radial engine.  The constant velocity joint is my favorite, but it’s also great to learn how a sewing machine really works!

Some great visualizations of interesting and intricate 3D geometry and engineering.

Folding Steel

This is an amazing application of origami:  a steel grocery bag that can fold flat!

http://news.sciencemag.org/sciencenow/2011/03/paper-plastic-or-steel.html

Although you probably wouldn’t want to carry these to the store with you, this result could have real applications in industrial packaging.  In addition, it’s another step towards the mathematical-origamist’s dream:  designing building that can rearrange and rebuild itself as needed!

A great talk by Erik Demaine on mathematical origami opened my eyes have this amazing application of mathematics, and my students and I have been having a lot of fun with folding ever since!

Follow

Get every new post delivered to your Inbox

Join other followers: