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There is no regular polyhedron with 9 vertices There are many other defined polyhedra with 9 vertices, though:

elongated square pyramid (cube with a square pyriamd on top)

gyroelongated square pyramid

triangular cupola

triaugmented triangular prism

tridiminished icosahedron

It's hard to describe the shape of some of these. See the related links below for pictures.

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Q: What is a polyhedron with 9 vertices?
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What polyhedron has 4 faces 9 edges and 6 vertices?

There cannot be such a polyhedron since it does not satisfy Euler's criterion.


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