As a personal study to understand the basic construction of regular geometric shapes with only a compass and ruler, I found it hard to remember each step. Animating the process seemed like the best way to document for future reference.
Hypotrochoid - A roulette traced by a point attached to a circle of radius (r) rolling around inside the fixed circle of radius (R) where the point is a distance (d) from the center of the interior circle
James Watt’s work on developing the steam engine lead to the discovery of what are now called Watt’s curves and linkages. The animation above shows how they are constructed from linking a fixed radius.
This GIF lets you visualize the very natural and interesting forces of nature which go by the name of Centrifugal and Coriolis. You(yellow) are sitting in a merry-go-round with a friend (blue), and you need to