a 1,000,000-gon, or a megagon
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Well a rectangle is a 2-D shape so it really only has 1 face and 4 sides
A polyhedron is a solid shape with many sides. The word "polyhedron" does not specify a number of sides.
A sphere as a polygon is a shape with three or more sides and a sphere has no sides
No. A five sided shape is a pentagon. A hexagon has six sides.
In my opinion, only if the shape has any of three characteristics A. shape has sides outside of the side naming convention (oct, poly, etc.) B. shape is unrecognizable remotely to anything or C. shape has no sides, but many curves.