diff --git a/drawing.py b/drawing.py
index fb0a908..e83a5c2 100644
--- a/drawing.py
+++ b/drawing.py
@@ -84,28 +84,32 @@ hideturtle()
 
 faceLength = 200
 
+# these shifts are based on the short and long chord-lengths of the original face ellipse
+halfShift = 2*(faceLength/2)*math.sin(math.pi/4)
+fullShift = 2*(faceLength)*math.sin(math.pi/4)
+
 right(20)
-goto(2*(faceLength/2)*math.sin(math.pi/4)*0.5,0)
+goto(halfShift*0.5,0)
 ear(-faceLength,'sienna')
-goto(-2*(faceLength/2)*math.sin(math.pi/4)*0.5,0)
+goto(-halfShift*0.5,0)
 right(140)
 ear(faceLength,'sienna')
 
-goto(-2*(faceLength/2)*math.sin(math.pi/4)*0.5,0)
+goto(-halfShift*0.5,0)
 setheading(-135)
 face(faceLength,'white')
 
-goto(-2*(faceLength/2)*math.sin(math.pi/4),-2*(faceLength)*math.sin(math.pi/4)*1.25)
+goto(-halfShift,-fullShift*1.25)
 setheading(-45)
 face(faceLength,'sienna')
 
 setheading(0)
-goto(-2*(faceLength/2)*math.sin(math.pi/4)*0.4,-faceLength/2)
+goto(-halfShift*0.4,-faceLength/2)
 eye(faceLength/12,'black')
-goto(2*(faceLength/2)*math.sin(math.pi/4)*0.4,-faceLength/2)
+goto(halfShift*0.4,-faceLength/2)
 eye(faceLength/12,'black')
 
-goto(faceLength/12,-2*(faceLength/2)*math.sin(math.pi/4)*1.25)
+goto(faceLength/12,-halfShift*1.25)
 nose(faceLength/6)
 
 done()