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    $\begingroup$ Nice idea. Not really thought this through, but if you use f = BooleanConvert[LogicalExpand[#], "ESOP"] & to convert the predicate to an exclusive sum of products, I think you should split the region into distinct parts which you can use your code on. e.g. Show @@ (myRegionPlot3D[#, {x, -1, 1}, {y, -1, 1}, {z, -1, 1}] & /@ f[1/4 <= x^2 + y^2 + z^2 <= 1 && (x <= 0 || y >= 0)]) $\endgroup$ Commented May 24, 2014 at 21:55
  • $\begingroup$ @Simon: That's neat! I wasn't aware of BooleanConvert. $\endgroup$ Commented May 24, 2014 at 23:23