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The torus is a three-dimensional surface shaped like a donut, formed by rotating a circle around an axis in its plane that does not intersect the circle. It is a classic example of a surface with a hole, making it topologically distinct from a sphere or a cube. In mathematics, the torus is a fundamental object in topology, where it serves as a basic model of a surface with genus one. Beyond pure math, the torus appears in physics, computer graphics, and engineering—modeling anything from magneti
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📌A torus is a three-dimensional shape that looks like a doughnut or an inner tube. It is formed by rotating a circle around an axis that lies in the same plane as the circle but does not touch it. This creates a surface with a hole in the middle. The torus is a common shape in geometry and appears in various fields such as physics, engineering, and computer graphics. It has interesting mathematical properties, including a surface that can be described using periodic functions, and it is often u
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A 4D torus is often described as a topological space or manifold in four-dimensional Euclidean space (R^4) that possesses specific properties. To provide a more technical result, we can describe it as follows: Definition of a 4D Torus: A 4D torus, denoted as T^4, can be defined as a Cartesian product of four circles. In other words, it is the result of taking four circles (1D tori) and linking them together in such a way that they create a four-dimensional structure. Mathematically, it can be re
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