Here are the triangles mod *n* for *n * = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Look at the triangles for *n * = 2 and *n* = 4. See how similar they are? If you were to recolor the yellow circles as royal blue and the light blue circles as black, the *n* = 4 triangle would be the same as the *n* = 2 triangle. Why do you think that might be?

Now look at the n = 6 triangle. Can you see a color identification that would transform it to the n = 2 triangle? How about to the n = 3 triangle? Answers
Next look at the Can you see identifications between other triangles? What is the pattern here? Answers |