torusvormsed

A torusvormsed is a geometric shape that resembles a doughnut or an inner tube. It is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. The resulting shape is characterized by its hole in the center.

The mathematical definition of a torus involves parameters such as the major radius (the distance from the center of the hole to the center of the tube) and the minor radius (the radius of the tube itself). When the minor radius is equal to the major radius, the torus is called a horn torus. If the minor radius is larger than the major radius, the surface self-intersects. A special case occurs when the minor radius is zero, which results in a single point.

Tori are found in various contexts in mathematics and physics. In topology, they are considered simple, closed surfaces. They appear in the study of differential geometry and in the construction of certain manifolds. In physics, tori can represent the shapes of magnetic field lines in tokamaks used for fusion research, or the orbits of particles in certain astronomical phenomena. Visually, the torus is a familiar shape, appearing in everyday objects and abstract representations of complex systems. Its symmetrical and curved form makes it a subject of interest in both theoretical and applied fields.