arXiv:gr-qc/9606011v1 6 Jun 1996 · hep-th/9606011 ... we find that it is not possible to describe the torus by just one polygon but we need at least two ... has some symmetries because of which the counting argument breaks down. The toroidal ...
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[email protected], [email protected] ... polygon that does not have hole; (b) clipping a polygon that has a hole. ... Direction == DOWN) and not tp.
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If the revolved curve is not a circle, the surface is a related shape, a toroid. Real-world objects that approximate a torus of revolution include swim rings and inner ...
Torus Radii. It can be made by revolving a small circle (radius r) along a line made by a bigger circle (radius R). It has no edges or vertices; It is not a polyhedron.
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17 Sep 2007 ... An onset from regular to chaotic regimes through the break-down of a two-dimensional invariant torus has been observed in many natural ... has an invariant curve homeomorphic (but not necessarily diffeomorphic) to the circle. ... D.G. Aronson, M.A. Chory, R.P. Mcgehee and G.R. Hall, Bifurcation from an ...
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This was made possible by the following down-to-earth description due to ... When an algebraic torus T acts on X, not much is lost, even if we assume the action ...
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In engineering and science, dimensional analysis is the analysis of the relationships between ... Multiplying any quantity (physical quantity or not) by the dimensionless 1 ... The original meaning of the word dimension, in Fourier's Theorie de la ... block down the street from an intersection gets you to the next intersection), ...
When three dimensional space is collapsed into two dimensions, what does it look like ... Not an answer to your question but I'm going to say it anyway. ... To show why, think of going a step down--how can you tile 2D space in such a way that ...
Two-dimensional space is a geometric setting in which two values (called parameters) are ... For the general theory of 2D objects, see Surface (mathematics). ... Fermat also worked in three dimensions, and did not publish the discovery.
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All four fault-bounded sides of the Icotea basin, its ∼3-km-thick Eocene basin fill ... it probably did not influence the present-day deep crustal structure of the belt.
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On each carbon, one group is axial (straight up or straight down) and the ... The concepts of cis and trans have no direct relationship to the concepts of axial and ...
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