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I think there is potentially a bug in RegionMember function, particularly in the RegionMember[reg] form. Can you evaluate the example code below in other versions and add the bug tag with the question. (evaluated in Mathematica 12.3.1 in windows 10).

reg = Rectangle[{0., 0.2}, {13.5, 15.65}];
pt = {-1.6*^-6, 4.3};
RegionMember[reg, pt]
RegionMember[reg][pt]
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    $\begingroup$ Confirmed on mac. $\endgroup$
    – SHuisman
    Sep 20, 2021 at 9:16
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    $\begingroup$ @SHuisman thanks ! reporting it to support. $\endgroup$
    – Ali Hashmi
    Sep 20, 2021 at 9:21
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    $\begingroup$ I also submitted it, but through a different portal. $\endgroup$
    – SHuisman
    Sep 20, 2021 at 9:23
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    $\begingroup$ One workaround is SignedRegionDistance[reg][pt] <= 0. $\endgroup$
    – Greg Hurst
    Sep 20, 2021 at 23:16
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    $\begingroup$ A workaround using distance to test membership is ok for closed regions, as this rectangle example. But can be misleading for boundary points of open regions. E.g., SignedRegionDistance[ImplicitRegion[x < 1, x]][{1}] is 0, but the point 1 isn't a member of that region. $\endgroup$
    – tad
    Sep 22, 2021 at 21:30

1 Answer 1

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There is a workaround:

reg = Rationalize[Rectangle[{0., 0.2}, {13.5, 15.65}]];
pt = Rationalize[{-1.6*^-6, 4.3}];RegionMember[reg, pt]

False

RegionMember[reg][pt]

False

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  • $\begingroup$ It's enough only reg = Rationalize[Rectangle[{0., 0.2}, {13.5, 15.65}]]; $\endgroup$
    – user64494
    Sep 20, 2021 at 11:12

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