All regular polygons.
But there are also others which look like squashed versions of regular polygons. A "squashed" square makes a rhombus. Similarly there are squashed polygons with larger numbers of sides.
They should be called equilateral polygons, but that phrase is not much used.
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not really a square and a diamond does
There are a few simple shapes with equal sides. The basic shapes are a square, octagon, and an equilateral triangle,
Regular shapes are shapes where all the sides and angles are equal. One example of a regular shape is a square because all the sides are the same and all the angles are 90 degrees.
There is no special name. The term irregular is not appropriate because a rhombus is irregular but it has equal sides.
The shapes that have 3 sides and 3 vertices are called triangles. Triangles are classified based on the lengths of their sides and the measures of their angles. The three most common types of triangles are equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), and scalene triangles (all sides and angles are different).