Today I'll be discussing the process of making this piece:
The pieces I used to make it are:
160 ring (Plentiful Gear Set or Full&Plentiful Hoops Gear Set)
120/96 hoop (Full&Plentiful Hoops Gear Set)
48 gear (Compact Gear Set)
I used the 210/160 hoop from the Full&Plentiful Hoops Gear Set and I held it still in the large oblong from the Nested Oblong gear set which is not necessary but made keeping everything still easier.
How was it made?
Start by aligning the gears like this:
Hold the 120/96 hoop stationary and use the pen hole 1A. This will make an oval. The angle of the oval is determined by the rotation of the 48 gear. If the 1A hole was aligned at the bottom with the darts in the other pieces then the oval would be going radially into the center. By rotating the 48 gear by 12 teeth it makes the oval on a diagonal. One iteration of this looks like this:
To make the rest of the design you step the 120/96 hoop 2 steps clockwise around the 160 hoop. Keep the 48 gear in the same spot in the hoop. This means that you move the 48 gear and the hoop together and that column A of medium pen holes always stays lined up with the triangular darts on the 120/96 hoop.
With each two tooth step and repetition of the design you change pen holes going up and down the small pen hole A column. 1A to 2A to 3A to 4A to 5A to 4A and so on up and down.