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The facial weak order on hyperplane arrangements

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Figure 2. The type A 2 Coxeter arrangement where B is the in- in-tersection of the positive half-spaces of all hyperplanes
Figure 3. The lattice of regions associated to the type A 2 Coxeter arrangement. See Example 2.4.
Figure 4. The facial weak order labeled by facial intervals for the type A 2 Coxeter arrangement
Figure 5. The type A 2 Coxeter arrangement where the faces are identified by their associated covectors
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