subrotunda

A subrotunda is a term used in geometry to describe a shape that resembles a portion of a sphere, specifically a spherical cap, but with a curved base. Unlike a standard spherical cap which has a flat circular base, the base of a subrotunda is also spherical, but with a different radius than the main sphere. This means that the "cutting" surface is not planar, but rather a section of another sphere.

The term "subrotunda" itself is not a standard or widely recognized term in formal geometric literature. It appears to be a descriptive neologism rather than an established geometric classification. The concept, however, is geometrically sound. Imagine taking a sphere and then removing a segment of it by intersecting it with another sphere. The remaining part, if it has a curved base that is itself a spherical surface, could be described as a subrotunda.

The properties and calculations associated with such a shape would depend on the radii of both spheres and the specific intersection points. The volume and surface area would be more complex to determine than those of a simple spherical cap due to the dual curvature. While not a common term, understanding the idea of a spherical segment with a curved boundary helps to explore more complex geometric forms and their potential applications in fields like engineering or design where intricate curved surfaces are important.