Academic literature on the topic 'Cyclidene'

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Journal articles on the topic "Cyclidene"

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Сальков and Nikolay Sal'kov. "Properties of Dupin Cyclide and Their Application. Part 4: Applications." Geometry & Graphics 4, no. 1 (2016): 21–33. http://dx.doi.org/10.12737/18055.

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In the first and second parts of the work there were
 considered mainly properties of Dupin cyclide, and given some
 examples of their application: three ways of solving the problem of
 Apollonius using only compass and ruler, using the identified properties
 of cyclide; it is determined that the focal surfaces of Dupin
 cyclid are degenerated in the lines and represent curves of the
 second order – herefrom Dupin cyclide can be defined by conic curve and a sphere whose center lies on the focal curve. Polyconic
 compliance of these focal curves is identified. The formation of the
 surface of the fourth order on the basis of defocusing curves of the
 second order is shown.
 In this issue of the journal the reader is invited to consider the
 practical application of Dupin cyclide’s properties. The proposed
 solution of Fermat’s classical task about the touch of the four
 spheres by the fifth with a ruler and compass, i.e., in the classical
 way. This task is the basis for the problem of dense packing. In the
 following there is an application of Dupin cyclide as a transition
 pipe element, providing smooth coupling of pipes of different diameters
 in places of their connections. Then the author provides
 the examples of Dupin cyclide’s application in the architecture as
 a shell coating. It is shown how to produce membranes from the
 same cyclide’s modules, from different modules of the same cyclide,
 from the modules of different cyclides, from cyclides with the inclusion
 of other surfaces, special cases of cyclides in the educational
 process. The practical application of the last problem found the
 place in descriptive geometry at the final geometrical education of
 architects in the "Construction of surfaces". Here such special cased
 of cyclides as conical and cylindrical surfaces of revolution.
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Сальков, Николай, and Nikolay Sal'kov. "Representations of Dupin Cyclides." Geometry & Graphics 5, no. 3 (2017): 11–24. http://dx.doi.org/10.12737/article_59bfa354466be1.50763524.

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We know very little about such an interesting surface as Dupin cyclide. It belongs to channel surfaces, its special cases are tor, conical and cylindrical surfaces of rotation. It is known that Dupin cyclides are the only surfaces whose focal surfaces, that are surfaces consisting of sets of curvatures centers points, have been degenerated in second-order curves. Two sets give two confocal conics. That is why any study of Dupin cyclides is of great interest both scientific and applied. In the works devoted to Dupin cyclide and published in the "Geometry and Graphics" journal, are presented various properties of cyclides, and demonstrated application of these surfaces in various industries, mostly in construction. Based on the cyclides’ properties in 1980s have been developed numerous inventions relating to devices for drawing and having the opportunity to be applied in various geometric constructions with the use of computer technologies. In the present paper have been considered various options for representation of Dupin cyclides on a different basis – from the traditional way using the three given spheres unto the second-order curves. In such a case, if it is possible to represent four cyclides by three spheres, and when cyclide is represented by the second-order curve (konic) and the sphere their number is reduced to two, then in representation of cyclide by the conic and one of two cyclide’s axes a single Dupin cyclide is obtained. The conic itself without any additional parameters represents the single-parameter set of cyclides. Representations of Dupin cyclides by ellipse, hyperbola and parabola have been considered. The work has been sufficiently illustrated.
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Novotnak, George C., Timothy J. Gardner, Wang-Kan Lin, Neil A. Stephenson, Daryle H. Busch, and Nathaniel W. Alcock. "Cyclidene complexes with bulky substituents." Supramolecular Chemistry 5, no. 2 (1995): 119–28. http://dx.doi.org/10.1080/10610279508029483.

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4

Kolchinski, Alexander G., Nathaniel W. Alcock, and Daryle H. Busch. "DynamicCis−TransBridge Isomerism in the Cyclidene Family of Dioxygen Carriers: A Bicyclic Cyclidene with aTransBridge Orientation." Inorganic Chemistry 36, no. 13 (1997): 2754–59. http://dx.doi.org/10.1021/ic961327x.

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Alcock, Nathaniel W., Daryle H. Busch, Piotr J. Chmielewski, B. K. Coltrain, and Thomas J. Meade. "Structures of the multireceptor vaulted cyclidene complexes." Inorganica Chimica Acta 246, no. 1-2 (1996): 109–18. http://dx.doi.org/10.1016/0020-1693(96)05057-8.

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Busch, Daryle H., Patricia J. Jackson, Masaaki Kojima, et al. "Dioxygen Adducts of Lacunar Cobalt(II) Cyclidene Complexes." Inorganic Chemistry 33, no. 5 (1994): 910–23. http://dx.doi.org/10.1021/ic00083a015.

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Alcock, Nathaniel W., Peter A. Padolik, Graham A. Pike, Masaaki Kojima, Colin J. Cairns, and Daryle H. Busch. "Transition-metal complexes of superstructured cyclidene macrobicycles: structural features and their chemical consequences. 3. Cyclidenes with long polymethylene bridges." Inorganic Chemistry 29, no. 14 (1990): 2599–607. http://dx.doi.org/10.1021/ic00339a015.

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Cameron, James H., Catherine A. Clarke, Georgina Rosair, and Elinor L. Scott. "Structural control of reactivity in some new cyclidene complexes." Coordination Chemistry Reviews 174, no. 1 (1998): 313–26. http://dx.doi.org/10.1016/s0010-8545(98)00048-4.

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Masarwa, Mohamad, P. Richard G. Warburton, Wayne E. Evans, and Daryle H. Busch. "Kinetics of autoxidation of cobalt(II) cyclidene dioxygen carriers." Inorganic Chemistry 32, no. 18 (1993): 3826–35. http://dx.doi.org/10.1021/ic00070a011.

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Chen, Jihong, Naidong Ye, Nathaniel W. Alcock, and Daryle H. Busch. "The first [14]cyclidene complexes: relationships between macrocyclic ring size, lacunar cavity shape, and dioxygen affinity of the cobalt-cyclidene dioxygen carriers." Inorganic Chemistry 32, no. 6 (1993): 904–10. http://dx.doi.org/10.1021/ic00058a026.

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Dissertations / Theses on the topic "Cyclidene"

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Kim, Soodan. "Kinetic studies on the oxidation and oxygenation of cyclidene complexes /." The Ohio State University, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487671640057531.

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Nicol, Duncan Patterson. "The synthesis and reactions of an unprecedented isomer of the [16] membered Jager transition metal macrocyclic complex." Thesis, Heriot-Watt University, 1999. http://hdl.handle.net/10399/587.

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Ye, Naidong. "Total analysis of equilibrium relationships in cyclidene model systems for cytochromes P-450 /." The Ohio State University, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487676261011691.

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Deng, Yanpei. "Dioxygen binding properties of the cobalt(II) cyclidene complexes and their catalytic oxygenation reactions /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487758680158923.

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Lin, Wangkan. "The molecular mechanics and crystallographic studies of transition metal cyclidene complexes as reversible dioxygen carriers /." The Ohio State University, 1988. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487588939089561.

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Novotnak, George Clarence. "The synthesis, characterization and dioxygen affinity of totally synthetic transition metal cyclidene complexes supported on polymers /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu148758564557659.

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Pratt, M. J. "Cyclides in geometric modelling." Thesis, Cranfield University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305474.

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Sharrock, T. J. "Surface design with cyclide patches." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383950.

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Ross, Anderson John Leslie. "Structure, synthesis and reactivity of trans bridged nickel and cobalt cyclidenes." Thesis, Heriot-Watt University, 2002. http://hdl.handle.net/10399/406.

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Bo, Pengbo. "Free-form surface modeling with developables and cyclides." Click to view the E-thesis via HKUTO, 2010. http://sunzi.lib.hku.hk/hkuto/record/B44250629.

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Books on the topic "Cyclidene"

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Sal'kov, Nikolay. Dupin´s cyclide and its applications. Infra-M Academic Publishing House, 2016. http://dx.doi.org/10.12737/18824.

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Book chapters on the topic "Cyclidene"

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Coltrain, Bradley K., Norman Herron, and Daryle H. Busch. "Oxygen Activation by Transition Metal Complexes of Macrobicyclic Cyclidene Ligands." In The Activation of Dioxygen and Homogeneous Catalytic Oxidation. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-3000-8_26.

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Cairns, Colin J., Daryle H. Busch, Carol A. Bessel, and Kenneth J. Takeuchi. "Reversible Cobalt(II) and Iron(II) Dioxygen Carriers of Totally Synthetic Lacunar Cyclidene Complexes." In Inorganic Syntheses. John Wiley & Sons, Inc., 2007. http://dx.doi.org/10.1002/9780470132586.ch52.

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3

Zhou, Xiaolin, and Wolfgang Straßer. "A NURBS Representation for Cyclides." In Modeling in Computer Graphics. Springer Japan, 1991. http://dx.doi.org/10.1007/978-4-431-68147-2_5.

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Pratt, M. J. "Cyclide Blending in Solid Modelling." In Theory and Practice of Geometric Modeling. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61542-9_15.

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Krasauskas, Rimvydas, Severinas Zubė, and Salvatore Cacciola. "Bilinear Clifford-Bézier Patches on Isotropic Cyclides." In Mathematical Methods for Curves and Surfaces. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54382-1_17.

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Srinivas, Y. L., and Debasish Dutta. "Motion Planning in Three Dimensions Using Cyclides." In Visual Computing. Springer Japan, 1992. http://dx.doi.org/10.1007/978-4-431-68204-2_47.

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Boehm, Wolfgang. "Some Remarks on Cyclides in Solid Modeling." In Theory and Practice of Geometric Modeling. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61542-9_16.

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Druoton, Lucie, Lionel Garnier, Remi Langevin, Herve Marcellier, and Remy Besnard. "Blending Planes and Canal Surfaces Using Dupin Cyclides." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22027-2_33.

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Peternell, Martin. "Generalized Dupin Cyclides with Rational Lines of Curvature." In Curves and Surfaces. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27413-8_35.

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Krasauskas, Rimvydas. "Parametrizing 3-Webs of Circles on Darboux Cyclides." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95588-9_201.

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Conference papers on the topic "Cyclidene"

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Srinivas, Y. L., and Debasish Dutta. "Blending and Joining Using Cyclides." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0170.

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Abstract We consider the use of cyclides in geometric modeling. These are algebraic surfaces of degree four with interesting properties such as rational parametric forms and closure under offsets. The incorporation of cyclides as primitives in solid modellers will increase their geometric coverage. In this paper, we describe the cyclide and discuss two applications of its use in computer aided design — modeling blending surfaces and the automatic joining of pipes. Implemented examples are also included.
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Pratt, M. J. "Cyclides in solid modelling." In Proceedings on the second ACM symposium. ACM Press, 1993. http://dx.doi.org/10.1145/164360.164422.

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Berberich, Eric, and Michael Kerber. "Exact arrangements on tori and Dupin cyclides." In the 2008 ACM symposium. ACM Press, 2008. http://dx.doi.org/10.1145/1364901.1364912.

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Takeuchi, Nobuko. "Cyclides as surfaces which contain many circles." In Proceedings of the Australian-Japanese Workshop. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812706898_0019.

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Ueda, K. "Blending between right circular cylinders with parabolic cyclides." In Proceedings Geometric Modeling and Processing 2000. Theory and Applications. IEEE, 2000. http://dx.doi.org/10.1109/gmap.2000.838270.

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Easter, Robert Benjamin, and Eckhard Hitzer. "Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides." In CGI '16: Computer Graphics International. ACM, 2016. http://dx.doi.org/10.1145/2949035.2949059.

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Shene, Ching-Kuang. "Planar intersection, common inscribed sphere and Dupin blending cyclides." In Proceedings on the second ACM symposium. ACM Press, 1993. http://dx.doi.org/10.1145/164360.164545.

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Bittnerova, Daniela, and Daniela Bimova. "Rationalisation and applications of Dupin’s cyclide as canal surface." In 41ST INTERNATIONAL CONFERENCE “APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS” AMEE ’15. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4936732.

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Shene, Ching-Kuang. "A Fast and Robust Algorithm for Planar Intersection of Two Cones." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0410.

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Abstract In general, two quadric surfaces intersect in a space quartic curve. However, the intersection curve frequently degenerates to a collection of planar curves. These degenerate cases are often required by design. For example, to blend two cones with a Dupin cyclide or a quadric surface, the cones must have planar intersection. Moreover, degeneracies normally introduce problems into the general intersection algorithms and are difficult to implement in a reliable way. In this paper, we shall present a fast and robust algorithm to detect and compute the planar intersection curves, as well as a technique to find the types of the curves without actually computing them.
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Garnier, Lionel, Sebti Foufou, and Yohan Fougerolle. "G1-Blend between a Differentiable Superquadric of Revolution and a Plane or a Sphere Using Dupin Cyclides." In 2008 IEEE International Conference on Signal Image Technology and Internet Based Systems (SITIS). IEEE, 2008. http://dx.doi.org/10.1109/sitis.2008.73.

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