In 2-dimensional geometry it is a 38-gon. You can look up its Greek-prefix name but most normal people would not bother.
In 3-d geometry, there are very may possibilities: a pyramid with a 37-gon base, a bipyramid with a 36-gon base, a prism with 19-gon bases are three simple examples.
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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.
A triangle has 3 vertices.