An interesting problem
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Please don't post problems (by starting a topic) in the "Junior: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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The base of a pyramid is a nine-sided convex polygon. Every diagonal of the polygon, and each pyramid's lateral edge is black or white. (The sides of the polygon at the base are not colored.) Demonstrate that there is three segments that have been colored with the same color and form a triangle.