page_title: Twist knot
section_title: Properties
hierarchical_section_title: Twist knot / Properties
context_page_description: In knot theory, a branch of mathematics, a twist knot is a knot obtained by repeatedly twisting a closed loop and then linking the ends together. The twist knots are an infinite family of knots, and are considered the simplest type of knots after the torus knots.
context_section_description: All twist knots have unknotting number one, since the knot can be untied by unlinking the two ends.  Every twist knot is also a 2-bridge knot.  Of the twist knots, only the unknot and the stevedore knot are slice knots.  A twist knot with  half-twists has crossing number .  All twist knots are invertible, but the only amphichiral twist knots are the unknot and the figure-eight knot.
caption: The four half-twist stevedore knot is created by passing the one end of an unknot with four half-twists through the other.