knot
embedding of the circle in three dimensional Euclidean space
alternating knot
A knot with a diagram whose crossings alternate under, over, under, over, as one travels along each component
prime knot
non-trivial knot which cannot be written as the knot sum of two non-trivial knots
invertible knot
knot that is ambiently isotopic to itself with opposite orientation
slice knot
knot with slice genus 0
chiral knot
knot that is not equivalent to its mirror image
twist knot
family of mathematical knots
tame knot
class of mathematical knot
composite knot
non-trivial knot which can be written as the knot sum of two non-trivial knots
fibered knot
mathematical knot
ribbon knot
mathematical knot that bounds a self-intersecting disk with only ribbon singularities.
Conway knot
prime knot with 11 crossings named for John Horton Conway
Berge knot
class of mathematical knot with special properties
satellite knot
type of mathematical knot