ELI5: Explain Like I'm 5

Uniform polyhedron

Uniform polyhedrons are 3D shapes that have the same shape and size for all of their parts. They are special because they have a kind of symmetry that makes them look the same from different angles. Imagine you have a toy car that looks the same if you look at it from the front or the back. That is similar to how a uniform polyhedron looks. It is flat on the sides and has a round part in the middle, like a ball.

Now, let's break down the name. "Polyhedron" means a 3D shape that has flat surfaces, kind of like a dice. "Uniform" means that all the sides and angles are the same.

There are many different types of uniform polyhedrons, but they all follow certain rules. For example, they must have the same number of faces (the flat parts), edges (the lines where the faces meet), and vertices (the points where the edges meet).

Some examples of uniform polyhedrons you might recognize are a cube (which has six square faces), a tetrahedron (which has four triangular faces), and an octahedron (which has eight triangular faces).

In summary, uniform polyhedrons are 3D shapes with the same shape and size for all parts, have flat surfaces, and are symmetrical from different angles. They follow certain rules and examples include a cube, tetrahedron, and octahedron.