Google Classroom
GeoGebraGeoGebra Classroom

Hypocycloid (do kids even play with Spirographs anymore?)

We take a large circle, in this case one with radius 5. Inside is a smaller circle with a radius you choose using the first slider. Then, as the smaller circle rolls inside of the larger one, we trace the path followed by one fixed point on the smaller circle. Use the angle parameter t to see what curve results.