The importance of symmetry in design
If you think about it, the majority of living creatures are symmetrical. So in the evolution of human beings, symmetry can symbolise something that we could eat or something that could eat us.
Humans are innately designed to spot symmetry quickly because our survival depended on spotting symmetry. Symmetry is part of nature, the environment in which we evolved for millions of years.
Humans also look for symmetry when looking for a mate because a symmetrical body represents a healthy body and is a sign of better reproductive fitness.
We, therefore, associate symmetry with beauty. So symmetrical spaces are perceived as beautiful and grounding, making them easy to understand and navigate.