diff --git a/src/arc.scad b/src/arc.scad
index 8561927e..171d9baa 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)],
         [__ra_to_xy(edge_r_end(r_outer, angles[1]), angles[1])],
         // inner arc path
         [__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/pie.scad b/src/pie.scad
index abaf58e6..27d3ae64 100644
--- a/src/pie.scad
+++ b/src/pie.scad
@@ -34,7 +34,7 @@ module pie(radius, angle) {
     
     points = concat(
         [[0, 0], __ra_to_xy(edge_r_begin(angles[0]), angles[0])],
-        m > n ? [] : [for(i = [m:n]) __ra_to_xy(radius, a_step * i)],
+        m >= n ? [] : [for(i = [m:n]) __ra_to_xy(radius, a_step * i)],
         [__ra_to_xy(edge_r_end(angles[1]), angles[1])]
     );
 
diff --git a/src/shape_arc.scad b/src/shape_arc.scad
index 9be452ff..8d7c725f 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)
             ],
             [__ra_to_xy(_edge_r_end(r_outer, angles[1], a_step, n), angles[1])],
             // inner arc path
             [__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)