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Pentagonal Subdivision

Pentagonal subdivision
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Oct 2019Embargo end date: 01 Jan 2019 China (People's Republic of) Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 26 (eissn: 1077-8926, Copyright policy )
Authors: Yan, Min;

doi: 10.37236/8624 , 10.48550/arxiv.1903.11382

arXiv: 1903.11382

Pentagonal Subdivision

Abstract

We develop the theory of simple pentagonal subdivision of quadrilateral tilings, on orientable as well as non-orientable surfaces. Then we apply the theory to answer questions related to pentagonal tilings of surfaces, especially those related to pentagonal or double pentagonal subdivisions. 

Country
China (People's Republic of)
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Keywords

Combinatorial aspects of tessellation and tiling problems, simple pentagonal subdivision of quadrilateral tilings, Polyhedra and polytopes; regular figures, division of spaces, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Tilings in \(2\) dimensions (aspects of discrete geometry), 05B45

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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
Green
gold