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Beautiful game. 
I'd like to add some storyline and make gamify these activites a bit more by connecting these activities with real life problem solving, to make it more interesting for math students to work out.
Could you share more info about this project. I'd like to contribute as well.

Thank you for your suggestion. Actually I was thinking about adding a story to the game. I thought of something similar to the story-line from the Zachtronics games. But I have chosen a different path. I think the game should be close to the "pure experience" of chess or go. Personally, I rather aim for simplicity and remove any part that is not essential to a pure geometric experience. Some of reasons for this approach are explained and elaborated on by Jonathan Blow in his famous talk "Video Games and the Human Condition".