Trick Knot - Knot Theory

Knot Theory

Knot theory is a branch of topology. It deals with the mathematical analysis of knots, their structure and properties, and with the relationships between different knots. In topology, a knot is a figure consisting of a single loop, abstracted from any physical rope or line, with any number of crossing or "knotted" elements. As such, it has no proper ends, and cannot be undone or untied. Various mathematical techniques are used to classify and distinguish knots. For instance, the Alexander polynomial can be used to distinguish the trefoil knot from the figure-eight knot and the unknot (a simple loop).

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Famous quotes containing the words knot and/or theory:

    I love him who does not want to have too many virtues. One virtue is more virtue than two, since it is more knot on which to hang the rope that is destined to hang him.
    Friedrich Nietzsche (1844–1900)

    every subjective phenomenon is essentially connected with a single point of view, and it seems inevitable that an objective, physical theory will abandon that point of view.
    Thomas Nagel (b. 1938)