Toothpick Sequences

toothpick sequenceThis is a cool applet that allows you to explore various fractal “toothpick sequences”:

http://www2.research.att.com/~david/oeis/toothpick.html

A number of options allow the user to look at variants of the object, zoom in, change iteration parameters, and change the underlying sequence.  Click the Introduction button for a short overview.

Not sure what ATT Research plans to do with this, but it’s fun to play around with!

Art and Math Blog

buckyball fieldThis is a mind-blowing set of math/art projects by Daniel Walsh.

http://danielwalsh.tumblr.com/

At the right is a visualization of the magnetic field created by a small triangle of buckyball magnets.

There are only a few posts here, but they are fascinating and stunningly beautiful.  I hope there are more coming!

Related Posts

Rock, Paper, Scissors

NYT rock paper scissorsThis is a great interactive Rock-Paper-Scissors game from the New York Times website:

http://www.nytimes.com/interactive/science/rock-paper-scissors.html

The computer will narrate its strategy for you as you play, telling you whether it has correctly predicted your choice or not.

Skeptical?  Play the game against the Veteran computer and watch it beat you!  Then, go check out this infographic for some tips on how to improve your play.

It might be fun to pit a 6-sided die against the computer to see what happens.

Another Mechanical Calculator

odhner mechanical calculatorThis video demonstrates the Original Odhner mechanical calculator.

http://www.youtube.com/watch?v=Bz8_tNDUDog

It looks like a miniature typewriter, and it seems to operate in the same manner as the Curta mechanical calculator:  switches allow you to “input” numbers into the machine, and then turning a crank performs addition or subtraction.

The video demonstrates some basic operations of the Odhner, and it includes  a nice (if lengthy) computation of the square root of 2 that involves a few arithmetic tricks.

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