How would you apply SherbendGeneralizer to *polygon* data?
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While I probably wouldn't (I prefer the Visvalingam algorithm for removing detail in polygons). I would try Counter ->TopologyBuilder (propogate attributes) -> SherbendGeneralizer on the Edges -> AreaBuilder (Grouped by Count, with a polygon list attribute) -> ListIndexer (0, to restore attributes).
You'll probably need a snapping tolerance on your area builder.