diff --git a/src/bezier_curve.scad b/src/bezier_curve.scad
index 0e2057d1..20374e72 100644
--- a/src/bezier_curve.scad
+++ b/src/bezier_curve.scad
@@ -12,8 +12,18 @@
 *
 **/ 
 
-function _combi(n, k) = 
-    k == 0 ? 1 : (_combi(n, k - 1) * (n - k + 1) / k);
+function _combi(n, k) =
+    let(  
+        bi_coef = [      
+               [1],     // n = 0: for padding
+              [1,1],    // n = 1: for Linear curves, how about drawing a line directly?
+             [1,2,1],   // n = 2: for Quadratic curves
+            [1,3,3,1]   // n = 3: for Cubic Bézier curves
+        ]  
+    )
+    n < len(bi_coef) ? bi_coef[n][k] : (
+        k == 0 ? 1 : (_combi(n, k - 1) * (n - k + 1) / k)
+    );
         
 function bezier_curve_coordinate(t, pn, n, i = 0) = 
     i == n + 1 ? 0 :