Four-dimensional Space
نویسندگان
چکیده
منابع مشابه
Visualization of Surfaces in Four-Dimensional Space
We discuss some issues of displaying ~wo-dimensional surfaces in four-dimensional (4D) space, including the behavior of surface normals under projedion, the silhouette points due to the projection, and methods Cor object orientation and projection center specification. We have implemented an interactive 4D display system on z-butrer based graphics workstations. Preliminary experiments show that...
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Recently, the authors of [1] have presented the Stokes-vector direct detection transceiver as a promising candidate for noncoherent short-haul fiber-optic communication. Their method was improved by MorsyOsman, et al. in [2] to exploit all four transmitted signal-space dimensions, but their proposed methods for detecting the fourth dimension all suffer various practical drawbacks. In this paper...
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We investigate the lines tangent to four triangles in R3. By a construction, there can be as many as 62 tangents. We show that there are at most 162 connected components of tangents, and at most 156 if the triangles are disjoint. In addition, if the triangles are in (algebraic) general position, then the number of tangents is finite and it is always even.
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The Davey Stewartson hierarchy will be developed based on a set of three matrix differential operators. These equations will act as evolution equations for different types of surface deformation in Euclidean four space. The Weierstrass representation for surfaces will be developed and its uniqueness up to gauge transformations will be reviewed. Applications of the hierarchy will be given with r...
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We investigate a 4D analog of 2D WZW theory. The theory turns out to have surprising niteness properties and an innnite-dimensional current algebra symmetry. Some correlation functions are determined by this symmetry. One way to deene the theory systematically proceeds by the quantization of moduli spaces of holomorphic vector bundles over algebraic surfaces. We outline how one can deene vertex...
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ژورنال
عنوان ژورنال: Scientific American
سال: 1912
ISSN: 0036-8733
DOI: 10.1038/scientificamerican03091912-214