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Smallest Universal Covers for Families of Triangles

Abstract : A universal cover for a family T of triangles is a convex shape that contains a congruent copy of each triangle T ∈ T. We conjecture that for any family T of triangles (of bounded area) there is a triangle that forms a universal cover for T of smallest possible area. We prove this conjecture for all families of two triangles, and for the family of triangles that fit in the unit circle.
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https://hal.inria.fr/hal-02972966
Contributor : Ji-Won Park <>
Submitted on : Tuesday, October 20, 2020 - 5:23:54 PM
Last modification on : Friday, October 23, 2020 - 11:17:51 AM

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Ji-Won Park, Otfried Cheong. Smallest Universal Covers for Families of Triangles. EuroCG 2020 - 36th European Workshop on Computational Geometry, Mar 2020, Würzburg, Germany. ⟨hal-02972966⟩

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