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- L10a140_link abstract "In the mathematical theory of knots, L10a140 is the name in the Thistlewaite link table of a link of three loops, which has ten crossings between the loops when presented in its simplest visual form. It is of interest because it is presumably the simplest link which possesses the Brunnian property — a link of connected components that, when one component is removed, becomes entirely unconnected — other than the six-crossing Borromean rings.In other words, no two loops are directly linked with each other, but all three are collectively interlinked, so removing any loop frees the other two. In the image in the infobox at right, the red loop is not interlinked with either the blue or the yellow loops, and if the red loop is removed, then the blue and yellow loops can also be disentangled from each other without cutting either one.According to work by Slavik V. Jablan, the L10a140 link can be seen as the second in an infinite series of Brunnian links beginning with the Borromean rings. So if the blue and yellow loops have only one twist along each side, the resulting configuration is the Borromean rings; if the blue and yellow loops have three twists along each side, the resulting configuration is the L10a140 link; if the blue and yellow loops have five twists along each side, the resulting configuration is a three-loop link with 14 overall crossings, etc. etc.".
- L10a140_link thumbnail Brunnian-L10a140.svg?width=300.
- L10a140_link wikiPageExternalLink The_Thistlethwaite_Link_Table.
- L10a140_link wikiPageExternalLink The_Multivariable_Alexander_Polynomial.
- L10a140_link wikiPageExternalLink 4878510547.
- L10a140_link wikiPageID "31520188".
- L10a140_link wikiPageRevisionID "593689769".
- L10a140_link alternating "alternating".
- L10a140_link braidLength "10".
- L10a140_link braidNumber "3".
- L10a140_link crossingNumber "10".
- L10a140_link date "April 2013".
- L10a140_link hyperbolicVolume "12.27627758".
- L10a140_link lastKnot "L10a139".
- L10a140_link name "L10a140".
- L10a140_link nextKnot "L10a141".
- L10a140_link reason "mentions "L10a140", but as a different link, not as "it is what it is"".
- L10a140_link thistlethwaite "L10a140".
- L10a140_link subject Category:Geometric_topology.
- L10a140_link comment "In the mathematical theory of knots, L10a140 is the name in the Thistlewaite link table of a link of three loops, which has ten crossings between the loops when presented in its simplest visual form.".
- L10a140_link label "L10a140 link".
- L10a140_link sameAs m.0glpk1j.
- L10a140_link sameAs Q6763481.
- L10a140_link sameAs Q6763481.
- L10a140_link wasDerivedFrom L10a140_link?oldid=593689769.
- L10a140_link depiction Brunnian-L10a140.svg.
- L10a140_link isPrimaryTopicOf L10a140_link.