Double-Elliptical Pendulum Harmonograph (D.E.P.H.)

This is about a 50 lb platform that could swing freely (in all directions) from a universal joint. The platform had a smaller, less massive, pendulum hanging from it that could likewise swing freely.. but interacting with the upper pendulum either harmonically or chaotically. The lower pendulum weigh(s) could be (re)positioned along the pipe, so I could change its frequency, and experiment.

DEPH in the basement at our Millwood home, 1967.

In the middle of the photo, you see the writing platform which sat atop a sturdy wooden box holding 50 LBS of iron sash weights. Iron pipes go from the sides of the box up to the ceiling, with a U-joint fasted to the overhead floor joists. Hanging below the box/platform, you can see the lower pendulum's U-joint. I could change the length and mass of the lower pendulum, using movable weighs of 5, 7.5, or 10 lbs.

The photo shows the black camera tripod used to make the first version of pen apparatus, allowing the height of the pen arm to be adjusted during initial testing. I later built a more specialized, delicate pen. Unfortunately, the black tripod and the black pipe are aligned in the photo, so I provide an annotated photo below.

Blue: Iron Pipe; Green: Tripod; Red: Ink pen.

I learned about these machines in May 1965, from an article in Scientific American. I (think) was a Junior in High School (~1966). As you will see, I decided to build the Double-Elliptical Pendulum Harmonograph, which took part of a year.

Degenerating Triangle

This harmonogram is similar to one I'd seen in the article that piqued my interest.