plotesimal

Plotesimal is a mathematical concept that refers to an extension of the notion of a plot-like object in a geometric space. It is a theoretical construct that generalizes the idea of a plot, which is an ordered pair of points in a Cartesian plane.

In essence, a plotesimal is a higher-dimensional analogue of a plot, where the ordered pair is replaced by a higher-dimensional tuple. The term "plotesimal" was first introduced by mathematicians in the late 19th century, and it has since been developed into a subject in its own right within the field of geometry and topology.

A plotesimal can be thought of as a generalization of the concept of a point in space. While a point is a single location with no extension in space, a plotesimal is a smaller-dimensional subspace that contains the point. This means that a plotesimal is not a point itself, but rather a way of defining a point in terms of its neighboring spaces.

Plotesimals have a number of interesting properties, including the fact that they can be used to construct more complex geometric objects, such as manifolds and varieties. They are also closely related to other mathematical concepts, including sheaves and differential geometry.

While the concept of a plotesimal may seem abstract and difficult to visualize, it has a deep historical significance in the development of modern mathematics and has far-reaching implications for our understanding of geometric spaces. As a result, plotesimals continue to be an active area of research within the mathematical community.