There are infinitely many possible answers: a pentagon, hexagon, heptagon, etc.
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There are infinitely many shapes. Among them are polyhedra, with four or more vertices.
The shape would be impossible. The faces and vertices have to add up to two more than the edges.
Any sort of prism.
Im here to answer your question- possibly a cone. * * * * * and give you the wrong answer. A cone is a shape with 1 vertex: not MORE THAN 1 vertex! All polyhedra have more than 1 vertices.
hectagon