Mickey Mouse's Triangle

(Click on the cartoon to see the full image.)

(C)Copyright 2011, C. Burke. All rights reserved.


Why was I investigating Sierpinski triangles and how did I happen to notice something that looked like a "hidden Mickey"?
Let's just say, "No reason in particular" because that'll probably be the least weird answer.

Basically, the exact numbers in Pascal's Triangle aren't important. You only need to know if they are divisible by 3, or if they have a remainder of 1 or 2. You can assign color codes to them, and then have a handy reference chart for adding.

I'll give it two hours tops before someone finds a mistake like adding yellow and red and getting another yellow instead of black.