polyhedron

The room was an irregular polyhedron with the smaller side to the left.

A variety of operations may be performed on any polyhedron.

It is sometimes but not always counted as a uniform polyhedron.

This graph is known as the skeleton of the polyhedron.

A flag of a polyhedron is sometimes called a "dart".

Like an ordinary polyhedron it forms a surface with no border.

This gives a plan for the net of the unfolded polyhedron.

The boundary of a Klein polyhedron is called a sail.

The B polyhedron has not been observed previously and it is shown in figure 23.

Rather than being a polyhedron, it is more like a ball with 100 flattened planes.

Below is an illustration of this polyhedron with one face drawn in yellow.

More generally, an octahedron can be any polyhedron with eight faces.

This polyhedron can be constructed from 6 great circles on a sphere.

The difference between the fillings of this polyhedron is very slight, but still present.

For a given polyhedron there may be many fold-out nets.

This is easily seen by examining the construction of the dual polyhedron.

The occupants of the polyhedron, on their part, seemed to disregard the robot.

There is some controversy on how to colour the faces of this polyhedron.

As such, it is a regular polyhedron of index two:

The vertices of the polyhedron all lie on a sphere.

This concept of a regular polyhedron would remain unchallenged for almost 2000 years.

This polyhedron has 8 faces, 18 edges, and 12 vertices.

The face planes of a polyhedron divide space into many discrete cells.

This total will have one complete circle for every vertex in the polyhedron.

Care has to be taken to use the correct Euler characteristic for the polyhedron.