The cubeoctahedron has 6 square faces and 8 triangle faces. One way to visualise it is to think of a cube with the corners chopped off. You can chop it in half to reveal a regular hexagon (drag with your mouse to move it):

Chopping in half another way reveals a square:

(Java applet from LiveGraphics3D)

page date: 28Nov04.      I enjoy correspondence stimulated by this site. You can contact me here.