### 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 - Jan 1 2004 |

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### ASJC Scopus subject areas

- Algebra and Number Theory
- Geometry and Topology

### Cite this

*Beitrage zur Algebra und Geometrie*,

*45*(2), 429-434.

**More classes of stuck unknotted hexagons.** / Aloupis, Greg; Ewald, Günter; Toussaint, Godfried.

Research output: Contribution to journal › Article

*Beitrage zur Algebra und Geometrie*, vol. 45, no. 2, pp. 429-434.

}

TY - JOUR

T1 - More classes of stuck unknotted hexagons

AU - Aloupis, Greg

AU - Ewald, Günter

AU - Toussaint, Godfried

PY - 2004/1/1

Y1 - 2004/1/1

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

VL - 45

SP - 429

EP - 434

JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

SN - 0138-4821

IS - 2

ER -