I do not think such a figure can exist unless its "face" is a fractal of some sort.
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well sphere has 0 faces and 0 vertices however it is a 3d shape. I hope this has answered your question.
were two or more faces of a solid figure
Polygonal faces.
A square is not a solid figure at all. It's a flat figure, with four congruent faces and four congruent angles.
cone