A polygon with 9 vertices is a nonagon.
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It is a triangle inside another shape, usually such that its vertices are on the boundaries of the other shape.
Nonahedron
It is a triangular prism that has 6 vertices, 9 edges and 5 faces.
Since it has 9 faces it is a nonahedron. Not sure how many of the thousands of nonahedrons have 6 vertices.
A nonagon is a two dimensional; figure with 9 vertices.