A hypotrochoid {1,6/13,h} with parameter h varing from .15 to 1.3. Each image is scaled so they all fit the display boundary.
A illusion created by superimposing two hypotrochoids {1,1/7,2} rotating in opposite direction. SpiroGraph
“Snowflake”. Based on catacaustic of a changing epitrochoid {1,1/6,h} with light source at the center. The one on the right shows detail at the center. Flashing IllusionSnowflake 1, Snowflake 2;
“Flashing Diamond” and “SuperNova”. Both based on evolute of a hypotrochoid with varing parameter h. ({1,1/4,h} and {1,3/7,h})
Inverse of a quadrifolium {1, 1/4, 3/4} with respect to its center, and increasing radius of inversion. The resulting curve is a Cotes' spiral. (the red dots) Rose and Cotes' spiral
