diff --git a/03nov/final.jpg b/03nov/final.jpg
new file mode 100644
index 0000000..263cbf4
Binary files /dev/null and b/03nov/final.jpg differ
diff --git a/03nov/final2.jpg b/03nov/final2.jpg
new file mode 100644
index 0000000..1600f42
Binary files /dev/null and b/03nov/final2.jpg differ
diff --git a/03nov/main.py b/03nov/main.py
index dcb9978..d47a208 100644
--- a/03nov/main.py
+++ b/03nov/main.py
@@ -1,4 +1,5 @@
 from umage import load, save, show_image
+from math import atan2, cos 
 
 def grayscale(img_mat):
     """Transform an image into gray
@@ -47,6 +48,33 @@ def dans_image(img_mat, row, col):
         return True
     return False
 
+def calculate_direction(img1, img2):
+    """Calculate the image direction of 2 image that has been trough gx and gy of phobels formula
+
+    :img1: x image of fobel 
+    :img2: y image of fobel 
+    :returns: matrix of direction 
+
+    """
+    res = list()
+    for row in range(len(img1)):
+        res.append(list())
+        for col in range(len(img1[row])):
+            res[row].append(atan2(img2[row][col][0], img1[row][col][0]))
+    return res
+
+
+def dir_mat_to_img(mat):
+    """take a matrix with direction and transform it in image with direction hue """
+    res = list()
+    for row in range(len(mat)):
+        res.append(list())
+        for col in range(len(mat[row])):
+            res[row].append((round(256*cos(mat[row][col])), round(256*cos(mat[row][col] + 120)), round(256*cos(mat[row][col]  - 120))))
+    return res
+
+
+
 if __name__ == "__main__":
     unit = [
             [0, 1, 0],
@@ -64,10 +92,20 @@ if __name__ == "__main__":
             [-2, 0, 0],
             [ 0, 1, 0],
             [ 0, 0, 2]]
+
+    phobel1 = [
+            [ 1, 0, -1],
+            [ 2, 1, -2],
+            [ 1, 0, -1]]
+    phobel2 = [
+            [ 1, 2, 1],
+            [ 0, 0, 0],
+            [ -1, -2, -1]]
+
     img = load('./myimg.jpg')
     new_image = grayscale(img)
     convolution(new_image, convolution2)
-    save(new_image, 'gray')
-    save(convolution(new_image, convolution1), 'convo1')
-    save(convolution(new_image, convolution2), 'convo2')
-    save(convolution(new_image, convolution3), 'convo3')
+    phob1_img = convolution(new_image, phobel1)
+    phob2_img = convolution(new_image, phobel2)
+    final = dir_mat_to_img(calculate_direction(phob2_img, phob1_img))
+    save(final, 'final2')