Get Stuck Unknot essential facts below. View Videos
or join the Stuck Unknot discussion
. Add Stuck Unknot
to your PopFlock.com topic list for future reference or share
this resource on social media.
In mathematics, a stuck unknot is a closed polygonal chain that is topologically equal to the unknot but cannot be deformed to a simple polygon by rigid motions of the segments.
Similarly a stuck open chain is an open polygonal chain such that the segments may not be aligned by moving rigidly its segments. Topologically such a chain can be unknotted, but the limitation of using only rigid motions of the segments can create nontrivial knots in such a chain.
Consideration of such "stuck" configurations arises in the study of molecular chains in biochemistry.
- ^ G. Aloupis, G. Ewald, and G. T. Toussaint, "More classes of stuck unknotted hexagons," Contributions to Algebra and Geometry, Vol. 45, No. 2, 2004, pp. 429-434.
- ^ G. T. Toussaint, "A new class of stuck unknots in Pol-6," Contributions to Algebra and Geometry, Vol. 42, No. 2, 2001, pp. 301-306.