ELI5: Explain Like I'm 5

Nonconvex uniform polyhedron

A nonconvex uniform polyhedron is a special kind of shape that has many flat surfaces called faces, that are all the same size and shape. The difference is that this shape is not round or curved like a ball, and it's not straight like a box. Instead, it has bends and corners that make it look more complex.

Imagine a shape made out of straight lines that join together to form a solid structure. The lines that make up the edges of the shape are all the same length, and the angles between them all have the same size. This is the kind of shape that we call a nonconvex uniform polyhedron.

There are many different kinds of nonconvex uniform polyhedra, each with its own unique combination of faces, edges, and corners. Some examples you might be familiar with are prisms, pyramids, and dodecahedrons.

These shapes are special because they have certain properties that make them interesting to mathematicians and scientists. For example, they can be used to model molecules and crystals in chemistry, or to create computer graphics and video games in computer science.

In summary, a nonconvex uniform polyhedron is a shape with many flat surfaces that are all the same size and shape, but it has bends and corners that make it look more complex. They are used in many different fields of study and can be seen as the building blocks for complex structures.
Related topics others have asked about: