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Acute triangulations of the double triangle. (English) Zbl 1114.52012
Summary: We prove that every doubly covered triangle can be triangulated with $$12$$ acute triangles, and this number is best possible.

##### MSC:
 52B12 Special polytopes (linear programming, centrally symmetric, etc.) 52C20 Tilings in $$2$$ dimensions (aspects of discrete geometry)
##### Keywords:
geodesic triangulations; acute triangles