a circle, which has none
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Not a polyhedral shape. You need at least three vertices to define a plane shape. With 5 vertices, the maximum number of triplets you can get is 10 so there cannot be 11 faces.
a shape with 7 vertices
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.
A shape with four sides and three vertices does not exist in Euclidean geometry. In Euclidean geometry, a shape must have the same number of sides as vertices. Therefore, a shape with four sides would have four vertices.
A common polygon with five vertices is the pentagon. A common three dimensional shape with five vertices is the square pyramid.