Reidemeister move

noun

Any of three local moves on a link diagram: (i) twist and untwist in either direction; (ii) move one loop completely over another; (iii) move a string completely over or under a crossing.

Meanings

nounReidemeister move (plural Reidemeister moves)

plural Reidemeister moves

  1. knot theorymathematicsAny of three local moves on a link diagram: (i) twist and untwist in either direction; (ii) move one loop completely over another; (iii) move a string completely over or under a crossing.

Origin

Demonstrated by Reidemeister (1927).

Full word history & related roots →
Cite this entry
APA

Reidemeister move. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Reidemeister%20move

MLA

“Reidemeister move.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Reidemeister%20move. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Reidemeister move,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Reidemeister%20move.

Source: Reidemeister move on Wiktionary, CC BY-SA 4.0.