There are infinitely many.
Amongst them are:
Circle, ellipse, annulus (disk),
Triangle, quadrilateral, pentagon, hexagon, and polygons with more sides,
Semicircles, quadrants, octants, and other combinations of the above,
Irregular 2d shapes - like a blob.
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There are infinitely many 2d shapes so it is impossible to list them all.
a 2d shape can only ever contain 1 face!
here are some: 2d shapes- square circle triangle Rectangle 3d shapes- cone cuboid cube prism
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Leaf Butterfly Feather