ringsshapes

Ring shapes, also known as toroidal shapes, are geometric forms characterized by a hole in the center, resembling a donut or a torus. These shapes are defined by two radii: the major radius, which is the distance from the center of the hole to the center of the tube, and the minor radius, which is the radius of the tube itself. When the minor radius is very small compared to the major radius, the ring shape approximates a circle. Conversely, if the minor radius approaches the major radius, the shape can become more like a sphere with a hole.

In mathematics, a torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. The resulting shape can be described by its genus, which is one for a standard torus. Variations of ring shapes exist, such as the spindle torus, where the revolving circle intersects the axis, and the horn torus, where the circle is tangent to the axis.

Ring shapes appear in various natural phenomena and human-made objects. Examples include the rings of Saturn, the shape of a lifebuoy, and the cross-section of some types of pasta. The concept of ring shapes is also fundamental in topology and has applications in fields like physics and computer graphics for modeling various objects and phenomena.