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Electronic Journal of Combinatorics
Article . 2005 . Peer-reviewed
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Electronic Journal of Combinatorics
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Article . 2005
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https://dx.doi.org/10.37236/19...
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Claim

Packing and Covering a Unit Equilateral Triangle with Equilateral Triangles

Packing and covering a unit equilateral triangle with equilateral triangles
descriptionPublicationkeyboard_double_arrow_right Article 25 Oct 2005Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 12 (eissn: 1077-8926, Copyright policy )
Authors: Yuqin Zhang; Yonghui Fan;

doi: 10.37236/1952

Packing and Covering a Unit Equilateral Triangle with Equilateral Triangles

Abstract

Packing and covering are elementary but very important in combinatorial geometry, they have great practical and theoretical significance. In this paper, we discuss a problem on packing and covering a unit equilateral triangle with smaller triangles which is originated from one of Erdős' favorite problems.

Related Organizations
Keywords

minimal covering, packing, Packing and covering in \(2\) dimensions (aspects of discrete geometry), Convex sets in \(2\) dimensions (including convex curves)

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold