More classes of stuck unknotted hexagons

Greg Aloupis; Günter Ewald; Godfried Toussaint

More classes of stuck unknotted hexagons

Greg Aloupis, Günter Ewald, Godfried Toussaint

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Consider a hexagonal unknot with edges of fixed length, for which we allow universal joint motions but do not allow edge crossings. We consider the maximum number of embedding classes that any such unknot may have. Until now, five was a lower bound for this number. Here we show that there exists a hexagonal unknot with at least nine embedding classes.

Original language	English (US)
Pages (from-to)	429-434
Number of pages	6
Journal	Beitrage zur Algebra und Geometrie
Volume	45
Issue number	2
State	Published - 2004

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Cite this

@article{9aea2bfbea9e4f55a3c6193521a1c967,

title = "More classes of stuck unknotted hexagons",

abstract = "Consider a hexagonal unknot with edges of fixed length, for which we allow universal joint motions but do not allow edge crossings. We consider the maximum number of embedding classes that any such unknot may have. Until now, five was a lower bound for this number. Here we show that there exists a hexagonal unknot with at least nine embedding classes.",

author = "Greg Aloupis and G{\"u}nter Ewald and Godfried Toussaint",

year = "2004",

language = "English (US)",

volume = "45",

pages = "429--434",

journal = "Beitrage zur Algebra und Geometrie",

issn = "0138-4821",

publisher = "Springer Berlin",

number = "2",

}

TY - JOUR

T1 - More classes of stuck unknotted hexagons

AU - Aloupis, Greg

AU - Ewald, Günter

AU - Toussaint, Godfried

PY - 2004

Y1 - 2004

N2 - Consider a hexagonal unknot with edges of fixed length, for which we allow universal joint motions but do not allow edge crossings. We consider the maximum number of embedding classes that any such unknot may have. Until now, five was a lower bound for this number. Here we show that there exists a hexagonal unknot with at least nine embedding classes.

AB - Consider a hexagonal unknot with edges of fixed length, for which we allow universal joint motions but do not allow edge crossings. We consider the maximum number of embedding classes that any such unknot may have. Until now, five was a lower bound for this number. Here we show that there exists a hexagonal unknot with at least nine embedding classes.

UR - http://www.scopus.com/inward/record.url?scp=8744288701&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8744288701&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:8744288701

SN - 0138-4821

VL - 45

SP - 429

EP - 434

JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

IS - 2

ER -

More classes of stuck unknotted hexagons

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this