# Cool pictures produced with Sage-Combinat

- (draft of upcoming tutorial, with many pictures)

A 3d stereographic plot of a crystal graph

- (see above for how to construct this plot)

- Obtained with:

sage: W = WeylGroup(['A',2],prefix='s') sage: G = W.quantum_bruhat_graph() sage: G.show()

Parabolic quantum Bruhat graph for A3 with J={1} Obtained with:

sage: W = WeylGroup(['A',3],prefix='s') sage: G = W.quantum_bruhat_graph([1]) sage: G.show()

Obtained with:

sage: g = sage.categories.category.category_graph() sage: g.set_latex_options(format="dot2tex") sage: view(g, pdflatex=True, tightpage = True)

- Graphs representing the Cartan matrix of the monoid of upper unitriangular boolean nxn matrices. For the second one, I can't resist quoting Tom Denton: "First they tell us we will never need more than 640k of RAM, then they tell us our documents should always be less than the length of a limousine..."
The J-order on the BiHecke monoid for the symmetric group S_3

- Sage-Combinat T-Shirt for FPSAC 2009: