The title is "How geometry is fundamental for chess." but 60% of this article is about how animals don't have a sense for numbers or bad at geometry.
Only a couple brief mentions about how chess piece moves are lines and transforms of lines. Other than that the author never establishes the title.
I was actually looking for some insight about chess and did not get any.
I think the insight is that geometry on advanced level is fundamental for living creatures to create game of chess.