Yixun Xu created LUCENE-10470:
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             Summary: Unable to Tessellate polygon
                 Key: LUCENE-10470
                 URL: https://issues.apache.org/jira/browse/LUCENE-10470
             Project: Lucene - Core
          Issue Type: Bug
          Components: core/index
    Affects Versions: 9.0
            Reporter: Yixun Xu
         Attachments: image-2022-03-16-17-40-18-721.png

I have a polygon that causes {{Tessellator.tessellate}} to throw an "Unable to 
Tessellate shape" error. I tried several versions of Lucene, and the issue does 
not happen with Lucene 8.2.0, but seems to happen with all Lucene versions 
>=8.3.0, including the latest main branch.

I created a branch that reproduces the issue: 
[https://github.com/apache/lucene/compare/main...yixunx:yx/reproduce-tessellator-error?expand=1]

This is the polygon rendered on geojson.io:  
!image-2022-03-16-17-40-18-721.png|width=377,height=348!

Is this a bug in the Tesselator logic, or is there anything wrong with this 
polygon that maybe wasn't caught by Lucene 8.2.0?



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