Here is how stupid thoughts are made: I read a post by my friend Michael Kapovich about succulents that evolution made look like stones to avoid animals that might feed on them.
My first thought was: those are just colorful, beautiful butts.
My second thought: It makes me actually wonder: from a human perspective, we immediately recognize the symmetry and see that this is not a stone. To be evolutionarily effective, that must mean that animals, for the most part, may not recognize symmetry. Antisymmetry must not have an advantage when it comes to camouflage. Which led me to find out that symmetry and its recognition is barely understood in either way, but that I may also be stupid because in real life these plants may look less symmetric. Still, maybe there is something about it.
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are free (that is, as simple as you could ever want). And whoever tried to ever studies something hard knows how valuable it is to write something in simpler terms. A minimal free resolution is just that, and a root polytope is a polytope whose vertices correspond to the root directions of a Coxeter group. Ayah surveyed how triangulations of the latter are related to resolutions of monomial ideals, and applied this to prove some new results as well as give more insightful proofs to previously known ones. Bravo, Ayah, Anton and Ben! 
For a cup of coffee more 