diff --git a/src/arc.scad b/src/arc.scad
index 19e21478..39af40a5 100644
--- a/src/arc.scad
+++ b/src/arc.scad
@@ -46,11 +46,11 @@ module arc(radius, angle, width, width_mode = "LINE_CROSS") {
     points = concat(
         // outer arc path
         [__ra_to_xy(edge_r_begin(r_outer, angles[0]), angles[0])],
-        m >= n ? [] : [for(i = [m:n]) __ra_to_xy(r_outer, a_step * i)],
+        m > n ? [] : [for(i = [m:n]) __ra_to_xy(r_outer, a_step * i)],
         angles[1] == a_step * n ? [] : [__ra_to_xy(edge_r_end(r_outer, angles[1]), angles[1])],
         // inner arc path
         angles[1] == a_step * n ? [] : [__ra_to_xy(edge_r_end(r_inner, angles[1]), angles[1])],
-        m >= n ? [] : [
+        m > n ? [] : [
             for(i = [m:n]) 
                 let(idx = (n + (m - i)))
                 __ra_to_xy(r_inner, a_step * idx)
diff --git a/src/shape_arc.scad b/src/shape_arc.scad
index 5aa4a46e..8b0b8ac4 100644
--- a/src/shape_arc.scad
+++ b/src/shape_arc.scad
@@ -40,14 +40,14 @@ function shape_arc(radius, angle, width, width_mode = "LINE_CROSS") =
         points = concat(
             // outer arc path
             [__ra_to_xy(_edge_r_begin(r_outer, angles[0], a_step, m), angles[0])],
-            m >= n ? [] : [
+            m > n ? [] : [
                 for(i = [m:n]) 
                     __ra_to_xy(r_outer, a_step * i)
             ],
             angles[1] == a_step * n ? [] : [__ra_to_xy(_edge_r_end(r_outer, angles[1], a_step, n), angles[1])],
             // inner arc path
             angles[1] == a_step * n ? [] : [__ra_to_xy(_edge_r_end(r_inner, angles[1], a_step, n), angles[1])],
-            m >= n ? [] : [
+            m > n ? [] : [
                 for(i = [m:n]) 
                     let(idx = (n + (m - i)))
                     __ra_to_xy(r_inner, a_step * idx)
diff --git a/src/shape_pie.scad b/src/shape_pie.scad
index 5d8b878f..fa393837 100644
--- a/src/shape_pie.scad
+++ b/src/shape_pie.scad
@@ -28,7 +28,7 @@ function shape_pie(radius, angle) =
         edge_r_end = leng / cos((n + 0.5) * a_step - angles[1]),
         shape_pts = concat(
             [[0, 0], __ra_to_xy(edge_r_begin, angles[0])],
-            m >= n ? [] : [
+            m > n ? [] : [
                 for(i = [m:n]) 
                     let(a = a_step * i) 
                     __ra_to_xy(radius, a)