Level 6: Circles on an Ellipse
Moving in yet another direction, let's now consider five circles centered at points located proportionally on an ellipse. Each circle's radius is a function of t, adding another layer through which you can determine the proportionality function. This time there are lots of numbers involved, but they're all fairly simple. Think about the transformation from the circle located at t to each of the other circles.
Tip: for square root, use sqrt(t), root(t,2), or t^(1/2). Consider the positions of the various points at relevant values of t such as 0, pi, and 2pi, and look at when the circles "pass" each other.
| t | ||||
| 0 | 0 | 6.28 | ||