You have Naked Edges (I have not Rhino)
script: /* Watch Incomplete edges for any reasons */ var gd = moi.geometryDatabase; gd.deselectAll();
var breps =gd.getObjects().getBreps(); for ( var i = 0; i < breps.length; ++i )
breps.item(i).getNakedEdges().setProperty( 'selected', true );