I want to give some enlightenment, about the " Accuracy" -> "Very High" vs "High" :-)

Spatial
Edge has convexity Points

Quote
A convexity (change) point on an edge is where there is a change of convexity of the edge in relation to the two adjacent faces. Imagine two faces meeting along an edge. If there is a point on the edge where the faces meet in a convex orientation and another point where the faces meet in a concave orientation, there must be a point between these two points where the convexity changes from convex to concave. That point is a convexity (change) point. Examples of tangent edges, convex edges, concave edges, and mixed-convexity edges are depicted in Edge Convexity.

An edge is considered to be insane if it contains a convexity change point (because it is impossible to blend or offset such edges). When edges are checked at check level of 60 or greater, an Error message will be produced if the convexity of any edge changes in its interior: that is, if there is a point in the interior of the edge at which the convexity changes.
Quote
http://doc.spatial.com/index.php/HowTo:Resolve_%22Error:_Edge_has_convexity_points%22

Important:
When edges are checked at check level of 60 or greater, an Error message will be produced if the convexity of any edge changes in its interior: that is, if there is a point in the interior of the edge at which the convexity changes.

An Accuracy check with "Very high" -> The level is greater than 60.




An Accuracy check with "High" -> The Level is less than 60.