Any time we connect two edges we create a vertex. The only way a shape can have two edges and no vertices is if the edges are disconnected. For example, two parallel lines is two edges and no vertices. If you are thinking of polygons, we need at least 3 edges and they must be connected. So the answer to your question is really there is not shape that fits this description if we restrict ourselves to planar closed figures.
The above is true for polyhedra. However, a cylinder meets the requirements
if we consider the case where an edge is defined in such a way that a cylinder has two of them.
The word "if" is there because sometimes, an edge is required to be straight.
In that case a cylinder has none.
However, many texts are not precise about how they define and edge and in this case we have no definition at all. So it is important to point out that the answer is a cylinder or nothing depending on your edge definition.
If we use the definition of an edge as boundary between smooth surfaces making up an object, then a cylinder has two edges.
There are similar issues with the term vertex and how it is used in general language, in toplogy and in graph theory.
For this question, I think a good answer is a cylinder is the edges and vertex are appropriately defined. The link will help with more details for those interested.
There is no limit to the number of vertices nor edges.
Sphere ( 0 faces , 0 edges , 0 vertices )
there are none
retangle
A cube has 6 square faces, 12 edges and 8 vertices
The shape would be impossible. The faces and vertices have to add up to two more than the edges.
A cylinder
A cylinder
There is no limit to the number of vertices nor edges.
A sphere has no faces, edges, or vertices.
The shape of a triangular based pyramid has 4 vertices, 6 edges and 4 faces
Vertices = Corners
You cannot have such a shape because either the shapes must meet at an edge or the vertices must be joined by an edge.
Some shapes that have 4 edges and 4 vertices are squares, rectangles, and parallelograms. A shape with 4 edges and 4 vertices is called a quadrilaterals.
You are a sphere
It is a cylinder
No, vertices do not have to be pointed out. Vertices are the points where the edges of a shape or object meet. They can be sharp or rounded, depending on the shape or object.