I ran across this journey to understand PoincarÃ© and thought I would pass it on. I am a big fan of the idea of popularizations, and am especially enamored with the “you too could have invented X”Â leitmotif that is statrting to emerge in that space (I read your version on CS Monads, sigfpe. it only made me like the form more). This link isn’t in that vein, but any effort is a worthwhile one in my book. It is a work in progress, so I am worried about commenting on it, but I am interested in people’s opinion of it. Is it off target for any particular audience other than the author? By that I mean the people who know the math will think too little is being said, while the ones who do not will be under the impression the trees are occluding the forest. More to the point, is any popularization doomed to such a critique?