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A hexagonal dipyramid - two hexagonal pyramids stuck together along their hexagonal face..
The three pyramids that i know of is a :) Triangular based pyramid :) Square based pyramid :) Hexagonal based pyramid
I posted a link to one just below in related links.
Rectangular pyramids and triangular pyramids both have triangular faces.
There are many possibilities. Some of them are: A nonagon-based pyramid. A hexagonal prism. A hexagonal dipyramid (two hexagon-based pyramids stuck together on their bases).