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The equivalent of a octahedron as a 2D shape is an 8 sided octagon.
An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. They can have faces which are triangles, quadrilaterals, pentagons, hexagons or heptagons.
octagon-2D Octahedron-3D
The suffix "hedron" implies 3D. The 2D suffix is "gon"
An octahedron is not a polygon. A polygon is a two dimensional shape. An octahedron is a three dimensional shape and is classified as a polyhedron.