diff --git a/involute_gears.scad b/involute_gears.scad
index fd80efe..c3fe21e 100644
--- a/involute_gears.scad
+++ b/involute_gears.scad
@@ -370,7 +370,7 @@ module gear (
 					half_thick_angle = half_thick_angle,
 					involute_facets=involute_facets);
 
-				if (gear_thickness < rim_thickness)
+				if (flat == false && gear_thickness < rim_thickness)
 					translate ([0,0,gear_thickness])
 					cylinder (r=rim_radius,h=rim_thickness-gear_thickness+1);
 			}