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Actually, you can get a shape with an odd number of angles, so you can even get a 111-sided polygon, but it's unlikely to be any shape, because, for example, you can't get a triangle.
Added 6 minutes later
Although, you can't get a convex 111-sided polygon.
Added 8 hours 57 minutes later
I think you can build a maximum of a convex hexagon from parallelograms.
Added 6 minutes later
Although, you can't get a convex 111-sided polygon.
Added 8 hours 57 minutes later
I think you can build a maximum of a convex hexagon from parallelograms.
Всё не так плохо как Вы думаете. Всё намного хуже!