Wild knots
نویسنده
چکیده
Wild knots, a class of knots which cannot be represented by polygonal paths in 3-dimensional space, are investigated as an embellishment to the Celtic style of ornamental knotwork. Wild knotwork designs are compared to fractal knotwork designs and the traditional technique of N-interlacement. It is shown that all three styles may co-exist in one design. r 2006 Elsevier Ltd. All rights reserved.
منابع مشابه
Wild Knots in Higher Dimensions as Limit Sets of Kleinian Groups
In this paper we construct infinitely many wild knots, Sn ↪→ Sn+2, for n = 1, 2, 3, 4 and 5, each of which is a limit set of a geometrically finite Kleinian group. We also describe some of their properties.
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In this paper we construct infinitely many wild knots, Sn →֒ S, for n = 2, 3, 4 and 5, each of which is a limit set of a geometrically finite Kleinian group. We also describe some of their properties.
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متن کاملWild Knots as limit sets of Kleinian Groups
In this paper we study kleinian groups of Schottky type whose limit set is a wild knot in the sense of Artin and Fox. We show that, if the “original knot” fibers over the circle then the wild knot Λ also fibers over the circle. As a consequence, the universal covering of S − Λ is R. We prove that the complement of a dynamically-defined fibered wild knot can not be a complete hyperbolic 3-manifold.
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ورودعنوان ژورنال:
- Computers & Graphics
دوره 30 شماره
صفحات -
تاریخ انتشار 2006