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Q: Are 3 dimensional shapes considered polygons?

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Polygons !

They are 3 dimensional objects such a s polyhedrons.

Polyhedra are 3-dimensional shapes bounded by polygons. Polygons are flat [plane] shapes bounded by straight lines. So a polyhedron cannot have any curved faces.

They are both 3 dimensional shapes with faces that are polygons.

all regular polygons

Yes. Parallelograms are flat shapes (polygons). 3-dimensional forms are polyhedrons.

They can be 2 dimensional shaped polygons or 3 dimensional shaped polyhedrons in algebraic geometry

All of the polygons because they don't have depth

They are closed 2 dimensional shapes whose sides are all straight lines. They can have 3 or more sides.

Most 2 dimensional shapes (all polygons) have 3 or more vertices. Most 3-dimensional shapes (polyhedra) have 4 or more vertices.

They are both simply connected 3-dimensional shapes, all of whose faces are polygons.

Shapes that have length, width and depth are considered to be 3 dimensional

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