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It occurred to me that another reason besides symmetry that you don't see many odd number segmented rings may be because some of them wind up being weird angles that are difficult to set with protractors or miter gauges. For example, with 7 sides the miter angle would be 64.285714285714...° and 11 sides would be 73.636363... . Not exactly easy to set with traditional measure devices.
--Nathan, TX. Hire the lazy man. He may not do as much work but that's because he will find a better way.
