In each case, the circle will rotate through 360 degrees, PLUS the sum
of the turns it makes. The first 360 is because the perimeter is
the same. Each turn is the complement of the angle of the n-gon.
For the triangle, there are 3 turns of 120 degrees each, so the circle rotates through 720 degrees.
For the square, there are 4 turns of 90 degrees each, so the circle rotates through 720 degrees.
So, to me, it looks like they are the same (assuming it completes the final turn when it gets back to the starting point).
Posted by Larry
on 2005-07-02 03:54:51