Curve-stitch Designs

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Some Circular Designs (Page 5)

 
While writing a PostScript program to draw Bob Beckers’ construction, I made a serendipitous programming error that produced some very pleasing images. I inadvertently  made the wedges of the pie twice the fraction of the figure that they should have represented. Thus, if a wedge should have had a 60° angle at the center, I inadvertently made that angle 120°. I replicated and rotated the wedges properly, however, so that adjacent wedges overlapped, something they did not do in Bob’s original design. The first figure I produced was something like the following (as earlier, click on a design to see a larger image):

Segments = 8, Wedges = 6, Levels = 4, Angle = 120°
Segments = 8, Wedges = 6, Levels = 4, Angle = 120°

Doubling the angle of each wedge seemed to work out particularly well.

Segments = 8, Wedges = 5, Levels = 3, Angle = 144°
Segments = 8, Wedges = 5, Levels = 3, Angle = 144°
Segments = 12, Wedges = 7, Levels = 2, Angle = (720/7)°
Segments = 12, Wedges = 7, Levels = 2, Angle = (720/7)°
Segments = 8, Wedges = 36, Levels = 2, Angle = 20°
Segments = 8, Wedges = 36, Levels = 2, Angle = 20°

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