Marbleworks Compatible Hypotrochoid Three Petal

thingiverse

This is a part of an extensive collection of various marble tracks compatible with the Marbleworks Grand Prix marble set. Refer to the remix source for access to a larger assortment of marble tracks. This design offers a lot of fun, where the marble path navigates through each of 3 tower petals. It's a little less complex than the 5 petal design but no less impressive to look at. Watch the marbles glide smoothly down their winding course! The mathematical formulas used to generate these loops were: ``` x(t) = cos(2t) + cos(t) y(t) = sin(2t) - sin(t) or simplified to: r(theta) = cos(3*theta) ```