Why is "Perko pair" trending?
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Trend Analysis
- Ranking position: #
- Date: 2026-08-11 03:50:31
This topic has appeared in the trending rankings 1 time(s) in the past year. While it does not trend frequently, its appearance suggests a renewed or concentrated surge of public interest.
Based on Wikipedia pageviews and search interest, this topic gained significant attention on the selected date.
Trend Insight
Perko_pair entered the ranking for the first time today at position #. This is its highest position ever recorded.
Trend History
This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-08-11 and was most recently seen on 2026-08-11.
Wikipedia Overview
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 Dale Rolfsen's knot table, this supposed pair of distinct knots is labeled 10161 and 10162. In 1973, while working to complete the classification by knot type of the Tait–Little knot tables of knots up to 10 crossings (dating from the late 19th century), Perko found the duplication in Charles Newton 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 (see Tait conjectures), as the two diagrams for the pair have different writhes.
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