diff --git a/skimage/morphology/tests/test_selem.py b/skimage/morphology/tests/test_selem.py
index a49cd026..7895fa58 100644
--- a/skimage/morphology/tests/test_selem.py
+++ b/skimage/morphology/tests/test_selem.py
@@ -67,36 +67,46 @@ class TestSElem():
         self.strel_worker_3d("diamond-matlab-output.npz", selem.octahedron)
 
     def test_selem_octagon(self):
-        expected_mask = np.array([[0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
-                                  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
-                                  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
-                                  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
-                                  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
-                                  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
-                                  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]], dtype=np.uint8)
-        actual_mask = selem.octagon(5, 3)
-        assert_equal(expected_mask, actual_mask)
+        expected_mask1 = np.array([[0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
+                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
+                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
+                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
+                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
+                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
+                                   [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0]], dtype=np.uint8)
+        actual_mask1 = selem.octagon(5, 3)
+        expected_mask2 = np.array([[0, 1, 0],
+                                   [1, 1, 1],
+                                   [0, 1, 0]], dtype=np.uint8)
+        actual_mask2 = selem.octagon(1, 1)
+        assert_equal(expected_mask1, actual_mask1)
+        assert_equal(expected_mask2, actual_mask2)
 
     def test_selem_star(self):
-        expected_mask = np.array([[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
-                                  [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
-                                  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
-                                  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
-                                  [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0],
-                                  [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]], dtype=np.uint8)
-        actual_mask = selem.star(4)
-        assert_equal(expected_mask, actual_mask)
+        expected_mask1 = np.array([[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
+                                   [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
+                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
+                                   [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
+                                   [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0],
+                                   [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]], dtype=np.uint8)
+        actual_mask1 = selem.star(4)
+        expected_mask2 = np.array([[1, 1, 1],
+                                   [1, 1, 1],
+                                   [1, 1, 1]], dtype=np.uint8)
+        actual_mask2 = selem.star(1)
+        assert_equal(expected_mask1, actual_mask1)
+        assert_equal(expected_mask2, actual_mask2)
 
 
 if __name__ == '__main__':