It's called a mobius strip.
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.
A line?
sphere
The shape with just one surface is.... a sphere.
A cone has one vertex and one edge.
In geometry, the only shape that has one surface is a plane.
triangle
A cone has one vertex, one edge, and one base.
a sphere
The edge of a 3D shape is called an "edge." It is the line segment where two faces of the shape meet. In geometric terms, an edge is one of the fundamental components that define the structure of polyhedra and other solid figures.
There is no solid that has those characteristics. To have an edge it must have another surface.
A circle?
A cone.