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- Perko_pair abstract "In the mathematical theory of knots, the Perko pair, named after Kenneth Perko, is a pair of entries in classical knot tables that actually represent the same knot. In Rolfsen's knot table, this supposed pair of distinct knots is labeled 10161 and 10162. In 1974, while working to complete the Tait–Little knot tables of knots up to 10 crossings (dating from the late 19th century), Perko found the duplication in C. N. Little's table. This duplication had been missed by John Horton Conway several years before in his knot table and subsequently found its way into Rolfsen's table. The Perko pair gives a counterexample to a "theorem" claimed by Little in 1900 that the writhe of a reduced diagram of a knot is an invariant.The Perko pair".
- Perko_pair wikiPageID "16618607".
- Perko_pair wikiPageRevisionID "605461552".
- Perko_pair abNotation "10161".
- Perko_pair arfInvariant "1".
- Perko_pair braidLength "10".
- Perko_pair braidNumber "3".
- Perko_pair bridgeNumber "3".
- Perko_pair class "hyperbolic".
- Perko_pair conwayNotation "[3:-20:-20]".
- Perko_pair crosscapNumber "2".
- Perko_pair crossingNumber "10".
- Perko_pair dowkerNotation "412".
- Perko_pair fibered "fibered".
- Perko_pair genus "3".
- Perko_pair hasPhotoCollection Perko_pair.
- Perko_pair hyperbolicVolume "5.63877".
- Perko_pair lastCrossing "10".
- Perko_pair lastOrder "160".
- Perko_pair name "Perko pair".
- Perko_pair nextCrossing "10".
- Perko_pair nextOrder "162".
- Perko_pair prime "prime".
- Perko_pair symmetry "reversible".
- Perko_pair unknottingNumber "3".
- Perko_pair comment "In the mathematical theory of knots, the Perko pair, named after Kenneth Perko, is a pair of entries in classical knot tables that actually represent the same knot. In Rolfsen's knot table, this supposed pair of distinct knots is labeled 10161 and 10162. In 1974, while working to complete the Tait–Little knot tables of knots up to 10 crossings (dating from the late 19th century), Perko found the duplication in C. N. Little's table.".
- Perko_pair label "Perko pair".
- Perko_pair sameAs m.03yfcbk.
- Perko_pair sameAs Q7169092.
- Perko_pair sameAs Q7169092.
- Perko_pair wasDerivedFrom Perko_pair?oldid=605461552.
- Perko_pair isPrimaryTopicOf Perko_pair.