liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A smaller sleeping bag for a baby snake
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2001 (English)In: Discrete & Computational Geometry, ISSN 0179-5376, E-ISSN 1432-0444, Vol. 26, no 1, 173-181 p.Article in journal (Refereed) Published
Abstract [en]

By a sleeping bag for a baby snake in d dimensions we mean a subset of Rd which can cover, by rotation and translation, every curve of unit length. We construct sleeping bags which are smaller than any previously known in dimensions 3 and higher. In particular, we construct a three-dimensional sleeping bag of volume approximately 0.075803. For large d we construct d-dimensional sleeping bags with volume less than (cvlog d)d/d3d/2 for some constant c. To obtain the last result, we show that every curve of unit length in Rd lies between two parallel hyperplanes at distance at most C1d-3/2vlog d, for some constant c1.

Place, publisher, year, edition, pages
2001. Vol. 26, no 1, 173-181 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-37669Local ID: 37250OAI: oai:DiVA.org:liu-37669DiVA: diva2:258518
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

Open Access in DiVA

No full text

Authority records BETA

Linusson, SvanteWästlund, Johan

Search in DiVA

By author/editor
Linusson, SvanteWästlund, Johan
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Discrete & Computational Geometry
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 32 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf