Vertices (singular vertex) are the corners.
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Polygons for example
A cube or cuboid have 6 flat surfaces and 8 vertices. (A cuboid means shaped like a cube - an example being a shoe box.)
If you are a solid figure with no vertices or edges, then you are a Sphere.From the lighter side: And that means that we can no longer be friends...
A square based pyramid has five vertices.
a tetrahedron