diff --git a/chris_ellipse_exploration/ellipse.py b/chris_ellipse_exploration/ellipse.py
index 4f8d6e9..c18585c 100644
--- a/chris_ellipse_exploration/ellipse.py
+++ b/chris_ellipse_exploration/ellipse.py
@@ -12,15 +12,16 @@ def ellipse(rx, ry, num_points, points_to_draw=None):
     the +x direction, and ends in the same position and heading.
     """
     radians()
+    φstart = get_angle(rx, ry, num_points, 0) / 2
     fly(rx)
-    left(π/2)
+    left(π/2 - φstart) 
     for i in range(points_to_draw or num_points):
         φi = get_angle(rx, ry, num_points, i)
         di = get_distance(rx, ry, num_points, i)
         print(i, φi, di)
         left(φi)
         forward(di)
-    left(-π/2)
+    left(-π/2 + φstart)
     fly(-rx)
     degrees()