two-dimensional knot
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Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia
Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… … Wikipedia
Knot — For speeds, see Knot (unit). For other uses, see Knot (disambiguation). Some knots 1 Yarn knot ABoK #2688 2 Manrope knot 3 Granny knot 4 Rosebud stopper knot(?) … Wikipedia
Knot group — In mathematics, a knot is an embedding of a circle into 3 dimensional Euclidean space. The knot group of a knot K is defined as the fundamental group of the knot complement of K in R3,:pi 1(mathbb{R}^3 ackslash K).Two equivalent knots have… … Wikipedia
Knot in 3D — Infobox VG| title = Knot in 3D developer = Malcolm Evans publisher = New Generation Software released = 1983 genre=Arcade platforms = ZX Spectrum requirements = 48K RAM media = Cassette Knot in 3D is a ZX Spectrum game by Malcolm Evans,… … Wikipedia
knot — Ⅰ. knot1 (nŏt) n. 1. a) A compact intersection of interlaced material, such as cord, ribbon, or rope. b) A fastening made by tying together lengths of material, such as rope, in a prescribed way. 2. A decorative bow of ribbon, fabric, or braid. 3 … Word Histories
Knot energy — In physical knot theory, a knot energy is a functional on the space of all knot conformations. A conformation of a knot is a particular embedding of a circle into three dimensional space. Depending on the needs of the energy function, the space… … Wikipedia
knot — I. noun Etymology: Middle English, from Old English cnotta; akin to Old High German knoto knot Date: before 12th century 1. a. an interlacement of the parts of one or more flexible bodies forming a lump or knob (as for fastening or tying… … New Collegiate Dictionary
Three-dimensional space — is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth (or height), although any three mutually perpendicular directions can serve as the three dimensions. A three… … Wikipedia
List of knot theory topics — Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician s knot differs in that the ends are joined together so that it cannot be undone. In precise mathematical… … Wikipedia
Satellite knot — In the mathematical theory of knots, a satellite knot is a knot which contains an incompressible, non boundary parallel torus in its complement [Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots , (2001),… … Wikipedia
