How do I create an 8 sided die from one object? Simply put, is there a way to make a cube balance solely on one point/vertex?

I'm struggling. I do not want to have to join two objects, nor have to extrude an object. I just want to have a simple eight-sided die created with one mesh.
In user preferences (ctrlaltu) go to "Addons" and enable "Add Mesh:Extra Objects".



Back on the 3D viewport press ShiftA Add->Mesh->Math Function-> Solid

and select Octahedron from the toolbar.