It's called a mobius strip.
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A cone has one vertex and one edge.
A circle. A Moebus strip.
A shape with one vertex, one edge, and two faces is called a cone. The vertex is the point where the edges meet, the edge is the line where the faces meet, and the faces are the flat surfaces of the shape. In the case of a cone, one face is the circular base and the other face is the curved surface.
They are the corners of any quadrilaterals but in a shape of a rough surface that has a pointy edge that can also be a fourth angle.
A cone.