What is the name of the polyhedron you obtain by truncating one vertex of an octahedron?

98 Views Asked by At

How do you call in English a nine faces polyhedron looking like a (more or less) regular octahedron but having one and only one vertex truncated?

octahedron with one vertice truncated

A truncated octahedron has all its faces truncated. And an "octahedron frustum" does not raise many results on Google.

2

There are 2 best solutions below

0
On

Assuming a square base, and according to Wikipedia, this could be a Dual elongated square pyramid:

The dual of the elongated square pyramid has 9 faces: 4 triangular, 1 square and 4 trapezoidal. enter image description here

0
On

As to @SylvainLeroux: the dual of the dual is the polytope itself. Thus combinatorically it even can be seen as the elongeted square pyramid itself.

In order to put it metrically more correct, you else could speak of a monotruncated octahedron.

--- rk