Some Circular Designs (Page 7)

Figures can become quite strange. The one below is hardly one of the strangest, but I am deliberately omitting those that are both odd and ugly!

Segments = 10, Wedges = 12, Levels = 2, Angle = 45°

I won’t try to explore all the possibilities one can imagine here, but it is worth noting that we can also vary the angles the wedges make with one another more freely. In the following figure, which can serve as an illustration of further possibilities, wedges are offset from one another by 45°, rather than by 90°. In this case, the effect is to superimpose two identical figures rotated with respect to one another (in this case, the figures are the same as the second figure shown on page 2):

Segments = 12, Wedges = 4, Levels = 3, Wedge Offset = 45°

Well, enough is enough! I could go on and on with additional constructions, but I’m not sure that much additional insight would be provided thereby. I encourage readers to send me their own designs. Thanks to Bob Beckers for his contribution!

— LED, 5/30/2005