diff --git a/map.py b/map.py
index 904bbc8..094b42b 100644
--- a/map.py
+++ b/map.py
@@ -73,8 +73,11 @@ class Face:
     def __init__(self, vs):
         self.vertices = vs
         self.tris = []
-        for i in range(1, len(vs)-1):
-            self.tris.append(Triangle(vs[0], vs[i], vs[i+1]))
+        # Sort vertices so that so that the normal points "outward"
+        if np.dot(self.vertices[0], np.cross(self.vertices[1] - self.vertices[0], self.vertices[2] - self.vertices[0])) < 0:
+            self.vertices = self.vertices[::-1]
+        for i in range(1, len(self.vertices)-1):
+            self.tris.append(Triangle(self.vertices[0], self.vertices[i], self.vertices[i+1]))
         self.plane_coords = [self.tris[0].plane_coords(v) for v in self.vertices]