Difference between revisions of "Clifford torus"
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− | + | The Clifford torus is a mathematical object that exists in higher dimensions, specifically in four-dimensional space (<math>R^4</math>). It can be understood as a special kind of surface or manifold that has interesting geometrical and topological properties. | |
+ | The Clifford torus is the subset of this space where each point on the torus lies on a unit circle in each of these two planes. | ||
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+ | Applications: | ||
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+ | Clifford tori appear in the study of minimal surfaces, string theory, and in certain aspects of theoretical physics where higher-dimensional spaces are considered. |
Revision as of 09:59, 15 September 2024
The Clifford torus is a mathematical object that exists in higher dimensions, specifically in four-dimensional space (). It can be understood as a special kind of surface or manifold that has interesting geometrical and topological properties. The Clifford torus is the subset of this space where each point on the torus lies on a unit circle in each of these two planes.
Applications:
Clifford tori appear in the study of minimal surfaces, string theory, and in certain aspects of theoretical physics where higher-dimensional spaces are considered.