diff --git a/lib/cartopy/crs.py b/lib/cartopy/crs.py
index 8175fea78..6b2793d83 100644
--- a/lib/cartopy/crs.py
+++ b/lib/cartopy/crs.py
@@ -2058,7 +2058,7 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0,
         maxs = np.max(coords, axis=1)
         self._x_limits = mins[0], maxs[0]
         self._y_limits = mins[1], maxs[1]
-        self.threshold = np.diff(self._x_limits)[0] * 0.02
+        self.threshold = np.diff(self._x_limits)[0] * 0.001
 
     @property
     def boundary(self):