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Zerlegung von Dreiecken in Dreiecke mit Nebenbedingung. (Partition of triangles into subtriangles with side-conditions) - MaRDI portal

Zerlegung von Dreiecken in Dreiecke mit Nebenbedingung. (Partition of triangles into subtriangles with side-conditions) (Q1092416)

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scientific article; zbMATH DE number 4019896
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English
Zerlegung von Dreiecken in Dreiecke mit Nebenbedingung. (Partition of triangles into subtriangles with side-conditions)
scientific article; zbMATH DE number 4019896

    Statements

    Zerlegung von Dreiecken in Dreiecke mit Nebenbedingung. (Partition of triangles into subtriangles with side-conditions) (English)
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    1987
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    Let n non-overlapping compact convex sets be in a triangle T. Then the authors show that T can be partioned into 6n-5 subtriangles such that the interior of each subtriangle intersects at most one of the discs. Further, the factor 6 is best possible.
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    packing in the plane
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    tilings
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    partition of triangles into subtriangles
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