Parameters
Equations: Epitrochoid → x=(R+r)cos t − (r+O)cos((R+r)/r·t), y=(R+r)sin t − (r+O)sin((R+r)/r·t). Hypotrochoid → x=(R−r)cos t + O·cos((R−r)/r·t), y=(R−r)sin t − O·sin((R−r)/r·t).
Equations: Epitrochoid → x=(R+r)cos t − (r+O)cos((R+r)/r·t), y=(R+r)sin t − (r+O)sin((R+r)/r·t). Hypotrochoid → x=(R−r)cos t + O·cos((R−r)/r·t), y=(R−r)sin t − O·sin((R−r)/r·t).