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I am reading Sergey Fomin's and Nathan Reading's paper Root Systems and Generalized Associahedra.

I need a good reference for associahedron of classical types. Besides, whether there are some conclusions for associahedron of exceptional types.

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  • $\begingroup$ I'm wondering if Gunter Ziegler's Lectures on Polytopes has something? $\endgroup$ – user62562 Nov 29 '16 at 18:30
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The original source would be Fomin-Zelevinsky, https://arxiv.org/abs/hep-th/0111053. Note that, for them, the "associahedron" is really just a fan (the normal fan to the simple polytope associahedron). The first realization of the associahedra as polytopes was given by Chapoton-Fomin-Zelevinsky, https://arxiv.org/abs/math/0202004. There has been subsequent work by others (including me).

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Not direct but as a side reference, I suggest you take a look into this seminal work by Alex Postnikov.

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