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. | ||
Latest revision as of 14:55, 18 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.
