In 2-dimensions, an octagon.
In 3-d it could be a heptagonal pyramid, a quadrilateral prism or quadrilateral antiprism. There are probably a few more shapes.
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None but it's possible to construct shapes within a circle that have vertices.
A circle
A rectangular prism contains a total of 8 vertices. There are 4 vertices on the bottom and 4 vertices on the top.
it has 6
A sphere