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https://issues.apache.org/jira/browse/LUCENE-7212?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15239915#comment-15239915
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Karl Wright commented on LUCENE-7212:
-------------------------------------

bq. I think I tested 10-gons in my previous tests? Seems like 500-gons add 
quite a bit more cost?

Of course they do.  If order N then it would be roughly 50x as much time to 
build a query.  Since this is O(N^2) its up to 2500x worse, approximately.

I still maintain that anyone who is constructing a 500-point polygon for each 
query in real life needs to have their head examined.  



> Add Geo3DPoint equivalents of LatLonPointDistanceComparator and 
> LatLonPointSortField
> ------------------------------------------------------------------------------------
>
>                 Key: LUCENE-7212
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7212
>             Project: Lucene - Core
>          Issue Type: Improvement
>    Affects Versions: master
>            Reporter: Karl Wright
>            Assignee: Karl Wright
>
> Geo3D has a number of distance measurements and a generic way of computing 
> interior distance.  It would be great to take advantage of that for queries 
> that return results ordered by interior distance.



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