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Hard break ridge

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forum4.skp (349.2 KB)
The arrows point to my original problem…


Those faint ridges were keeping me from obtaining the solid shapes depicted in front of the dark sphere.
Since their contours aren’t straight edges, some of them straddle the limits of the quadrants they occupy.
If you’ll notice, the horizontal equivalents to the extant ridges are absent, so that one can travel around the blue equator without crossing any of the said ridges.
Hoping to get rid of the offending feature, I’ve tried numerous methods of substitution that have all failed.

The “clean” belt at the center of the second .png loses either sets of edges when copy-moved in any of the three axis, but the ruse falls short upon reassemby without the offending features.
Furthermore, a simple copy-rotate creates double-surface sectors as shown here, where the lower-right third’s surface is clean, whereas as the others are superposed without coinciding.


Which takes us to my main question:
How can these constructions not be perfectly symmetrical, being mere iterations of the same basic shape?

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