Smallest universal covers for families of triangles

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A universal cover for a family T of triangles is a convex set that contains a congruent copy of each triangle T is an element of T. We conjecture that for any family T of triangles of bounded diameter 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 disk.
Publisher
ELSEVIER
Issue Date
2021-01
Language
English
Article Type
Article
Citation

COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.92, pp.101686

ISSN
0925-7721
DOI
10.1016/j.comgeo.2020.101686
URI
http://hdl.handle.net/10203/276527
Appears in Collection
CS-Journal Papers(저널논문)
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