Imagine two players are playing a strategy board game. With one player holding blackstones and the other player holding white stones, they take turns to place their pieces. After a while, they start to recognize some patterns. With three colors in front of them,black, white, and the color of the game board, they are curious about if they can form arecognizable image. Instead of playing the game to win, they start to collaborate witheach other to form a mosaic. Later, they invite more players and provide them theirown stones in different shades of gray.
The goal of this project is to use mathematical optimization techniques to designmosaics that simultaneously resemble well-known images and look like the current stateof a board game like Gomoku or something that could be played on a Go board or chessboard.