Dreaming about a square signifies becoming something completely secure, can symbolize a transformation. This transformation would encompass self and lead to the feeling of perfection and securely being surrounded.
A square in a dream represents that they are becoming more aware of enclosing themselves to become impenetrable. Squares come in structures such as swimming pools, boxes, and greenhouses that hold things in shape, and protect against the elements.
Also, the interpretation of a square in a dream resembles the idea that people are trapped by the boundaries of a role or conditions they are subjected to and want to free themselves from them. People usually have a problem expressing their inner most world and struggle to clear obstacles that stand in their path. Breaking out of the square allows for more self expression and creativity.