Flowers

Degrees of freedom: 2*

This trick forms four smaller circles and one large circle within the X-Y plane in the global reference frame, so there are 2 degrees of freedom

*Assuming poi is a point mass. For more information on planes and this assumption, see the technical info page here

Expected and observed frequencies:

Two major frequencies are observed, one at ~1.5 Hz representing the smaller circles, and one at ~2.9 Hz representing the larger circle being traversed

Equations to characterize trick:

• X = cos(t) + 3/4 cos(5t + π)
• Y = sin(t) + 3/4 sin(5t + π)
• Z = 0