I've been tinkering around with edge geometry, there are many ways to create/scrulpture an edge. After many long stared at conceptual models, a cross section image of a simplified Apex Bevel Geometry always hold my attention the longest. Would be fun to have/rent a SEM to see what's going on. Notes - a complete geometry would includes X&Y changes over Z-axis. Excluded back bevels. Thinking out loud ... From edge durability viewpoint, convex & V are obviously stronger than wire & burr because thicker steel below the apex can withstand more from rolling/lateral(X direction) force. Forces from Y&Z directions exceed steel limits (tensile,ductility,etc..) will deform (sometime fracture/chip) the edge, to keep it simple - let's ignore Y&Z forces. To create a submicron apex thickness(average) many of us use strop (compound charged and or bare/silicate). Experienced sharpners know a wire/burr edge is weak. For discussion, a wire edge defines as the thickess of the blade below the apex is less or equal to the apex thickness. Let's look at a scenario ex) Initial -a perfect convex apex bevel with apex thickness=200nm, hair whittling goodness. If we over strop this edge using lower than usual pressure+angle and or low flex backing and or long grain backing, we could end up with a wire. This wire edge is weak, more readily roll than the initial edge. Stropping is an art of techniques heavily dependence on steel, geometry, abrasive, forces and touch. ugh can we simplify this? or better way to scrulpting an durable edge? I can hone an edge to standard straight razor shaprness but could not achieve tree-top without stropping YET. btw - to me, stropping = repeat exclusive edge trailing strokes. Your thoughts?