toroidisk
Toroidisk is a term occasionally used in mathematics and engineering to denote a torus-like solid with a disk-shaped cross-section. The name is a portmanteau of torus and disk, and its usage is not standardized; some authors apply it to the general class of solids formed by sweeping a disk of radius r along a closed circular path of radius R, with R > r.
Geometrically, a typical toroidisk can be described as a solid torus. A common parameterization uses two angles,
Topologically, the solid torus is a 3D manifold whose boundary is a two-dimensional torus. Its fundamental group
Applications of toroidisk concepts appear in topology as standard examples, in computer graphics for donut-shaped models,
See also: torus, solid torus, toroidal coordinates, toroidal magnet, toroidal inductors.