diff --git a/spacy/visualization.py b/spacy/visualization.py
index 04b8c7516..546b13627 100644
--- a/spacy/visualization.py
+++ b/spacy/visualization.py
@@ -37,6 +37,7 @@ ROOT_LEFT_CHARS = {
     16: ">",
 }
 
+
 class Visualizer:
     @staticmethod
     def render_dependency_trees(doc: Doc) -> list[str]:
@@ -147,20 +148,25 @@ class Visualizer:
                 2 * horizontal_line_lengths[working_token_index]
             )
 
+            # Draw the corners of the relation
             char_matrix[first_index_in_relation][char_horizontal_line_length - 1] |= (
                 HORIZONTAL_LINE_PART_AWAY_FROM_ROOT + LOWER_VERTICAL_LINE_PART
             )
             char_matrix[second_index_in_relation][char_horizontal_line_length - 1] |= (
-                HORIZONTAL_LINE_PART_TOWARDS_ROOT + UPPER_VERTICAL_LINE_PART
+                HORIZONTAL_LINE_PART_AWAY_FROM_ROOT + UPPER_VERTICAL_LINE_PART
             )
+
+            # Draw the horizontal line for the governing token
             for working_horizontal_position in range(char_horizontal_line_length - 1):
                 if (
-                    char_matrix[working_token_index][working_horizontal_position]
+                    char_matrix[head_token_index][working_horizontal_position]
                     != VERTICAL_LINE
                 ):
-                    char_matrix[working_token_index][
+                    char_matrix[head_token_index][
                         working_horizontal_position
                     ] |= HORIZONTAL_LINE
+
+            # Draw the vertical line for the relation
             for working_vertical_position in range(
                 first_index_in_relation + 1, second_index_in_relation
             ):
@@ -175,41 +181,45 @@ class Visualizer:
                     ] |= VERTICAL_LINE
         for working_token_index in (i for i in range(len(doc)) if heads[i] is not None):
             for working_horizontal_position in range(
-                2 * horizontal_line_lengths[working_token_index], -1, -1
+                2 * horizontal_line_lengths[working_token_index] - 2, -1, -1
             ):
-                print(working_token_index, working_horizontal_position)
                 if (
-                    working_horizontal_position > 0
-                    and char_matrix[working_token_index][working_horizontal_position]
-                    == VERTICAL_LINE
-                    and char_matrix[
-                        working_token_index][working_horizontal_position - 1
-                    ]
-                    == 0
-                ):
-                    # jump over crossing line in non-projective parse case
-                    continue
+                    char_matrix[working_token_index][working_horizontal_position]
+                    == VERTICAL_LINE) and working_horizontal_position > 1 and char_matrix[working_token_index][working_horizontal_position - 2] == SPACE: 
+                        # Cross over the existing vertical line, which is owing to a non-projective tree
+                        continue
                 if (
                     char_matrix[working_token_index][working_horizontal_position]
                     != SPACE
                 ):
+                    # Draw the arrowhead to the right of what is already there
                     char_matrix[working_token_index][
                         working_horizontal_position + 1
                     ] = ARROWHEAD
                     break
                 if working_horizontal_position == 0:
+                    # Draw the arrowhead at the boundary of the diagram
                     char_matrix[working_token_index][
-                        working_horizontal_position
-                    ] = ARROWHEAD
+                        working_horizontal_position] = ARROWHEAD
                 else:
+                    # Fill in the horizontal line for the governed token
                     char_matrix[working_token_index][
                         working_horizontal_position
                     ] |= HORIZONTAL_LINE
-        return [''.join(ROOT_RIGHT_CHARS[char_matrix[vertical_position][horizontal_position]] for horizontal_position in range((max_horizontal_line_length * 2 - 1))) for vertical_position in range(len(doc))]
+        return [
+            "".join(
+                ROOT_RIGHT_CHARS[char_matrix[vertical_position][horizontal_position]]
+                for horizontal_position in range((max_horizontal_line_length * 2))
+            )
+            for vertical_position in range(len(doc))
+        ]
+
 
 import spacy
 
 nlp = spacy.load("en_core_web_sm")
 doc = nlp("I saw a horse yesterday that was injured")
 
-print (Visualizer().render_dependency_trees(doc))
+lines = Visualizer().render_dependency_trees(doc)
+for line in lines:
+    print(line)