Wave Articulation Matrix¶

The Wave Articulation Matrix is composed of concentric steel cylinders. The simplest design uses four cylinders. More sophisticated devices
may have 6, 8, or any even number of cylinders.

All the cylinders have the same mass, and all the cylinders have the same surface area.

The length of the innermost cylinder is equal to the circumference of the outermost cylinder. The length of the outermost cylinder is equal to the circumference of the innermost.

From a Golden Spiral to Gabriel's Horn¶

I would like to show you how the geometry of the Fountain can be derived from a Golden Spiral.

Let's take a look at a Golden Spiral.

Fig. 1: A Golden Spiral

A Golden Spiral is one kind of Logarithmic Spiral. Its radius multiplies by the Golden Ratio every quarter cycle.