Happy 5-13-12 Day!

In honor of today’s date, 5/13/12, I honor one of my favorite triangles:  the 5-12-13 triangle.

Of course, one reason this is a such a nice triangle is because it is a right.  We can easily see that the side lengths satisfy the Pythagorean Theorem

5^2 + 12^2 = 13 ^2

Another reason I like this triangle so much is because it plays a part in another of my favorite triangles:  the 13-14-15 triangle!

Turntable Harmonograph

I’m not sure if this technically qualifies as a harmonograph, but the images produced by this cool apparatus definitely remind me of Lissajous curves.

The video of this device in action, from Robert Howsare, is definitely worth a look.

An interesting challenge would be to come up with the parametric equations of these curves based on the angular velocity of the two turntables, much like what can be done with actual harmonographs.

Follow

Get every new post delivered to your Inbox

Join other followers: