#epicycle

Turning and Mechanical Manipulation - John Jacob Holtzapffel - 1884 - via Internet Archive

Part 2. Part 1 here.

An interactive demonstration of epicycloids: shapes generated by tracking a point on a circle which itself is moving along another circle. This demonstration supports two-level (circle-on-circle) and three-level (circle-on-circle-on-circle) epicycloids. You can experiment with different radii and rotation rates for each circle. Some examples:

Viva la Pluto!

"Ah, my dear,” she said to him, “If you wish your subjects to understand your transformation and to follow your example of non-harming, then you must tell them the story of the noble stag.” 

"When strangers take shelter under the same tree, they say, or draw water from the same river, it reveals a bond, a bond formed in their former lives. Surely the bond formed between the abbot and Tsunemasa was stronger still."

From Tsunemasa, a story from Japanese Noh. Retold by Kenneth Lawrence with Artwork by Kumiko Lawrence in our Summer 2017 Issue: "Happiness," available in bookstores and online.