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9 relations: Crossing number (knot theory), Fibered knot, Knot theory, Lissajous knot, List of knot theory topics, List of prime knots, Stevedore knot (mathematics), Three-twist knot, Unknotting number.
Crossing number (knot theory)
In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot.
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Fibered knot
In knot theory, a branch of mathematics, a knot or link K in the 3-dimensional sphere S^3 is called fibered or fibred (sometimes Neuwirth knot in older texts, after Lee Neuwirth) if there is a 1-parameter family F_t of Seifert surfaces for K, where the parameter t runs through the points of the unit circle S^1, such that if s is not equal to t then the intersection of F_s and F_t is exactly K. For example.
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Knot theory
In topology, knot theory is the study of mathematical knots.
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Lissajous knot
In knot theory, a Lissajous knot is a knot defined by parametric equations of the form where n_x, n_y, and n_z are integers and the phase shifts \phi_x, \phi_y, and \phi_z may be any real numbers.
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List of knot theory topics
Knot theory is the study of mathematical knots.
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List of prime knots
In knot theory, prime knots are those knots that are indecomposable under the operation of knot sum.
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Stevedore knot (mathematics)
In knot theory, the stevedore knot is one of three prime knots with crossing number six, the others being the 62 knot and the 63 knot.
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Three-twist knot
In knot theory, the three-twist knot is the twist knot with three-half twists.
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Unknotting number
In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it.
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