torus knot
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Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… … Wikipedia
Double torus knot — A double torus knot is a closed curve drawn on the surface called a double torus (think of the surface of two doughnuts stuck together). More technically, a double torus knot is the homeomorphic image of a circle in S³ which can be realized as a… … Wikipedia
Torus (disambiguation) — Torus or tori may refer to:In mathematics:* Torus a surface * Torus knot * Algebraic torus * Double torus * Umbilic torusIn medicine:* Torus palatinus a bony growth on the palate * Torus mandibularis a bony growth on the mandible * Torus fracture … Wikipedia
Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th … 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
torus — (n.) 1560s, from L. torus a swelling, bulge, knot; cushion, couch … Etymology dictionary
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
Knot complement — In mathematics, the knot complement of a tame knot K is the set theoretic complement of the interior of the embedding of a solid torus into the 3 sphere. This solid torus is a thickened neighborhood of K . Note that the knot complement is a… … Wikipedia
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
torus — 1. [TA] A rounded swelling, such as that caused by a contracting muscle. SYN: elevation [TA]. 2. A geometric figure formed by the revolution of a circle around the base of any of its arcs, such as the convex molding at the base of a pillar. [L.… … Medical dictionary
