[math-fun] Pancake cutting problem

I was looking at the "pancake cutting" problem on MathWorld (more precisely, the problem of circle division by lines): http://mathworld.wolfram.com/CircleDivisionbyLines.html and its cousin, the problem of the plane divided by circles: http://mathworld.wolfram.com/PlaneDivisionbyCircles.html and I'm wondering if there are "nice" ways to draw the images for larger numbers of cuts. I realize that "nice" is horribly ill-defined, but I'm thinking of images that are aesthetically appealing, as well as mathematically accurate. Or, if anyone has any hints to offer about drawing my own, I'd be oh so appreciative. Thanks, Kerry Mitchell