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I am asking this question out of curiousity.

Wikipedia lists Grothendieck's main mathematical achievements the last of which is "schematic point of view, or "arithmetics" for regular polyhedra and regular configurations of all sorts."

Can anyone please elaborate on that? Are there books written on this topic?

Thanks.

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I think you can find some further information in Esquisse d'un programme (English translation here), but I haven't read it myself. –  Zhen Lin Apr 18 '12 at 9:22
    
@ZhenLin, I just skimmed. Thanks a lot. I will accept it as an answer if you write it as an answer although the culture here is to wait a little bit to see if there are further references. –  Chulumba Apr 18 '12 at 9:28
    
@ZhenLin, please repost as an answer and I will accept it. –  Chulumba Apr 18 '12 at 16:55
    
I'm sure if you wait long enough, someone who actually knows something about the subject might answer! (You could also ask at MathOverflow.) –  Zhen Lin Apr 18 '12 at 17:14
    
@ZhenLin, okay, I will wait for some time. Thanks for the comment. –  Chulumba Apr 18 '12 at 17:51

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