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https://issues.apache.org/jira/browse/LUCENE-8239?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16427045#comment-16427045
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Karl Wright commented on LUCENE-8239:
-------------------------------------

I haven't looked at all at case 2:

{quote}
2) Degenerated vector: The test point is in one pole and checkpoint is near the 
pole but not identical. The SectorLinearCrossingEdgeIterator tries to build a 
plane with those two vectors essentially and throws an error as they are almost 
parallel. In FullLinearCrossingEdgeIterator ocurrs the same.
{quote}

This is the one where I thought it was not possible to have this situation.  If 
it really occurs, we should have a test for it, and maybe we need to increase 
MINIMUM_RESOLUTION.



> GeoComplexPolygon fails when test or/and check point are near a pole
> --------------------------------------------------------------------
>
>                 Key: LUCENE-8239
>                 URL: https://issues.apache.org/jira/browse/LUCENE-8239
>             Project: Lucene - Core
>          Issue Type: Bug
>          Components: modules/spatial3d
>            Reporter: Ignacio Vera
>            Priority: Major
>         Attachments: LUCENE-8239.patch
>
>
> When calling {{within}} method in GeoComplexPolygon you can get errors if the 
> test point of the polygon or the given point is near a pole.
> The reason is that one of the planes defined by these points is tangent to 
> the world therefore intersection with the above plane fails. We should 
> prevent navigating those planes ( we should not even construct them).



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