octagonal based pyramid
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An octagon based pyramid.
A pyramid will have as many triangular faces as the number of sides its base has, plus one in the shape of its base. This means an octagon based pyramid has nine faces (eight triangular ones plus the octagon base).
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A decahedron. Some decahedron shapes are a nonagon-based pyramid, an octagon based prism, or a pentagon based di-pyramid.
An icosagonal based pyramid.