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https://issues.apache.org/jira/browse/LUCENE-8220?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16412469#comment-16412469
 ] 

Karl Wright commented on LUCENE-8220:
-------------------------------------

Indeed, suppressing the creation of that triangle leads to a further failure:

{code}
   [junit4] ERROR   0.01s J1 | GeoPolygonTest.testCoplanarityTileConvex <<<
   [junit4]    > Throwable #1: java.lang.IllegalArgumentException: Cannot 
determine sidedness because check point is on plane.
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.SidedPlane.<init>(SidedPlane.java:113)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory$EdgeBuffer.<init>(GeoPolygonFactory.java:1494)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.buildPolygonShape(GeoPolygonFactory.java:757)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.buildPolygonShape(GeoPolygonFactory.java:934)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.buildPolygonShape(GeoPolygonFactory.java:934)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.generateGeoPolygon(GeoPolygonFactory.java:379)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.makeGeoPolygon(GeoPolygonFactory.java:171)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.makeGeoPolygon(GeoPolygonFactory.java:96)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonFactory.makeGeoPolygon(GeoPolygonFactory.java:50)
   [junit4]    >        at 
org.apache.lucene.spatial3d.geom.GeoPolygonTest.testCoplanarityTileConvex(GeoPolygonTest.java:1123)
{code}

So, basically, the logic upstream needs to change to perform the shape 
breakdown differently.  I'll have to think through how.


> GeoPolygon factory still shows problems with coplanar points
> ------------------------------------------------------------
>
>                 Key: LUCENE-8220
>                 URL: https://issues.apache.org/jira/browse/LUCENE-8220
>             Project: Lucene - Core
>          Issue Type: Bug
>          Components: modules/spatial3d
>            Reporter: Ignacio Vera
>            Assignee: Karl Wright
>            Priority: Major
>         Attachments: concave.jpg, concaveWithTiling.jpg, 
> coplanarity-test.patch
>
>
> The attached patch contains two polygons that still shows problems with 
> co-planar points. To better explain the issue I attached some images:
> 1) concave.jpg:  This is the polygon we want to build. Note that we want to 
> build the concave part, therefore the blue part is actually not part of the 
> shape and the white part is the area cover by the shape.
> 2) concaveWithTiling.jpg: The algorithm of the polygon factory tries to tile 
> the polygon using convex polygons. In our case it creates the three colored 
> polygons on the image. What it remains is a concave polygon.
> The problem with this polygon is that the right edge of the concave polygon 
> contains co-planar points. These points cannot be merged into a single plane 
> because they have different properties (internal edges or shape edges).
> Because GeoConvexPolygon and GeoConcavePolygon cannot handle polygons with 
> co-planar points, the polygon cannot be built.
> [~kwri...@metacarta.com], Is it possible to make this polygons support such 
> an extreme case?



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