[PostGIS] #5722: Spatial exception - geometry boundary touches interior of edge 4 (XX000)

[PostGIS]

#5722: Spatial exception - geometry boundary touches interior of edge 4 (XX000)
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  Reporter:  strk      |      Owner:  strk
      Type:  defect    |     Status:  new
  Priority:  medium    |  Milestone:  PostGIS 3.5.0
 Component:  topology  |    Version:  master
Resolution:            |   Keywords:
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Comment (by strk):

 I confirm GEOS-3.8 "succeeds" only because it does not notice the
 interior-interior intersection. I tested this by using GEOS-3.8 to build
 the topology. The so-built topology validates fine with GEOS-3.8. Then I
 upgraded to GEOS-3.12 and ONLY run the topology validation, which told me
 the topology was invalid !

 I am aware that we need to snap-round existing edges. The current problem
 with this ticket is finding out what a proper "distance tolerance" is. My
 current guess is that GEOS is internally computing such "distance
 tolerance" and it does not match the one computed by PostGIS Topology.
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Ticket URL: <https://trac.osgeo.org/postgis/ticket/5722#comment:18>
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