I am working on a project (for social sciences) and I found a game, Parable of Polygons (link)
I observe chaotic behavior, but am unable to mathematically explain this. Are there any ideas on how the above game can also incorporate ideas of chaos theory (mathematically)?
I don't think that game models chaos in any formal mathematical sense, though I might be wrong.
But to answer a question behind your question - I think writing about this game and what it claims to teach might make an outstanding social sciences project. There's no need to pursue the formal mathematics to do that. It might in fact be a distraction.