# Characterization of ideal knots

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- knot. // Hutchinson Dictionary of Scientific Biography;2005, p1
Knot in two- and three-dimensional geometry, a closed curve that loops over or through itself; representations of such structures are commonly presented as congruency problems.

- Analyse et gÃ©omÃ©trie, histoire des courbes gauches De Clairaut Ã Darboux. Delcourt, Jean // Archive for History of Exact Sciences;May2011, Vol. 65 Issue 3, p229
No abstract available.

- A lower bound for the distortion of a knotted curve. Bereznyak, T.; Svetlovl, P. // Journal of Mathematical Sciences;Sep2009, Vol. 161 Issue 3, p355
It is proved that the distortion of any knotted curve in R3 is greater than 4.76. This improves the result by John M. Sullivan and Elizabeth. Denne. Bibliography: 3 titles.

- Analytic Discs Attached From the Outside Have Knotted Boundaries. Černe, Miran // Bulletin of the London Mathematical Society;2000, Vol. 32 Issue 3, p339
Let Î© be a pseudoconvex domain in C2 with smooth boundary, and let AâŠ† C2\Î©Â¯ be a smooth embedded analytic disc intersecting âˆ‚Î© transversally along the curve âˆ‚A. Then âˆ‚A is knotted in âˆ‚Î©. 2000 Mathematics Subject Classification 32U99.

- ADAPTACIÃ“N DE SUPERFICIES DE DOBLE CURVATURA MEDIANTE SUPERFICIES DESARROLLABLES. González, Paco // Revista de EGA;2016, Vol. 21 Issue 27, p210
Questions related with the developable surfaces theory have had a constant attention from the point of view of the Geometry. In recent years the employment of free forms and double curvature surfaces in Architecture have reported a noticeable development and the need of their constructive...

- On Configurations of Solid Balls in 3-Space: Chromatic Numbers and Knotted Cycles. Maehara, Hiroshi // Graphs & Combinatorics;Jun2007 Supplement 1, Vol. 23, p307
The chromatic number of a family of solid balls is the minimum number of colors necessary to color the balls so that mutually tangent balls have different colors. A cycle of solid balls is a cyclic sequence of balls in which each consecutive pair of balls are tangent. A cycle of balls is called...

- Optimal Single Biarc Fitting and its Applications. Park, Hyungjun // Computer-Aided Design & Applications (Computer-Aided Design & Ap;2004, Vol. 1 Issue 1-4, p187
This paper proposes a new approach for fitting an optimized biarc to a given 2D polygon and its two end tangents. A biarc can be constructed which matches two end points and two end tangents, but an additional constraint is required to make the biarc unique. The conventional approach to biarc...

- APROXIMACIÃ“N DE SUPERFICIES PARA LA EJECUCIÃ“N DE BÃ“VEDAS TABICADAS. Mateu, Luis Gimenéz; Delgado, Isidro Navarro; Guardiola, Alberto Cabrera // Revista de EGA;2016, Vol. 21 Issue 27, p220
The difficulty presented in the execution of "domical vault" or "quatre punts" timbrel vaults with diagonal brickwork is that of the marking out with cladding tiles in the layering of the first rows, when setting the pace of the construction and joins. The continuity of the joins is a sign of...

- Local duality for 2-dimensional local ring. Draouil, Belgacem // Proceedings of the Indian Academy of Sciences: Mathematical Scie;Nov2008, Vol. 118 Issue 4, p525
We prove a local duality for some schemes associated to a 2-dimensional complete local ring whose residue field is an n-dimensional local field in the sense of Kato-Parshin. Our results generalize the Saito works in the case n = 0 and are applied to study the Bloch-Ogus complex for such rings in...