Marbleworks Compatible Hypotrochoid Three Petal

thingiverse

This is a part of a parent collection of many different marble tracks compatible with Marbleworks Grand Prix marble set. See remix source for larger collection of marble tracks. This is a really fun design where the marble path goes through the tower for each of 3 petals. A little simpler than the 5 petal design but no less neat to look at. Watch the marbles sing-song their way down! The math used to generate these loops was: ``` x(t) = cos(t) + cos(2t) y(t) = sin(t) - sin(2t) ``` or simplified to: ``` r(theta) = cos(3 theta) ```