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Frequently the word link is used to describe any submanifold of the sphere diffeomorphic to a disjoint union of a finite number of spheres, .. In full generality, the word link is essentially the same as the word knot – the context is that one has a submanifold M of a manifold N (considered to be trivially embedded) and a non-trivial embedding of M in N, non-trivial in the sense that the 2nd ...
4 2 1 link/Solomon's knot (a two component "link" rather than a one component "knot") - a traditional decorative motif used since ancient times (L4a1) 5 2 1 link/Whitehead link - two projections of the unknot: one circular loop and one figure eight-shaped loop intertwined such that they are inseparable and neither loses its form (L5a1)
Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...
The two curves of this (2, 8)-torus link have linking number four. In mathematics , the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space .
In the mathematical theory of knots, a pretzel link is a special kind of link.It consists of a finite number of tangles made of two intertwined circular helices.The tangles are connected cyclicly, [2] and the first component of the first tangle is connected to the second component of the second tangle, the first component of the second tangle is connected to the second component of the third ...
In the tables of knots and links in Dale Rolfsen's 1976 book Knots and Links, extending earlier listings in the 1920s by Alexander and Briggs, the Borromean rings were given the Alexander–Briggs notation "6 3 2", meaning that this is the second of three 6-crossing 3-component links to be listed.
The Alexander horned sphere is an example of a knotted 2-sphere in the 3-sphere which is not tame. [24] In the smooth category, the n-sphere is known not to knot in the n + 1-sphere provided n ≠ 3. The case n = 3 is a long-outstanding problem closely related to the question: does the 4-ball admit an exotic smooth structure?
Pages in category "Pretzel knots and links (mathematics)" The following 7 pages are in this category, out of 7 total. ... (−2,3,7) pretzel knot; 0–9. 8 19 knot;
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