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Any 8 sided polygon is called an octagon. If all of the sides and angles are equal, then it's called a regular octagon.
A four-sided polygon with four congruent sides and four equal angles is a square
There are many such shapes and there is no specific name.
A regular polygon has equal lengths of each side, AND the same angle between each of the sides. A Square is a polygon, an equilateral triangle is a polygon, a pentagon is a five - sided polygon, and so on.
It is impossible to have a two-sided regular polygon with equal length sides. The two sides would merely form an open angle, with no closed third side.