cilindernis

Cilindernis is a term that refers to a specific type of mathematical object. In geometry, it is often used in the context of a generalized cylinder. While a standard cylinder has a circular base, a cilindernis can be formed by extruding any closed curve, not necessarily circular, along a straight line. This means the base of a cilindernis can be an ellipse, a rectangle, a star shape, or any other closed, two-dimensional figure. The shape of the base remains constant throughout the extrusion.

The volume of a cilindernis is calculated by multiplying the area of its base by its height. The height is the perpendicular distance between the two parallel bases. If the base is a circle, the cilindernis is a standard cylinder. If the base is an ellipse, it is an elliptical cylinder. The term emphasizes the general nature of the shape, highlighting that the defining characteristic is the constant cross-section. Applications of generalized cylinders, or cilindernis, can be found in various fields, including engineering and architecture, where non-circular forms are frequently encountered.