Fractal, is a geometry of things which has no geometry.
Natural architecture has an organizing structure and fractal geometry is a tangible way to understand and describe this structure. In fact, fractals are mathematical images of irregularity.

Their irregularities are the same in all proportions. In a sense, they represent regularity in irregularity. The fractal is visualized as being a fragmented geometric shape that can split into infinite number of reduced-size copies of the whole form. The self-similarity is a prominent feature of the fractal forms. The similarity is a connection between the smaller scale parts that form the number of infinite iterations constructing the whole shape; symmetry in all dimensions.
Uniformity and harmony exist in any fractal shape.

Fractal is sometimes considered a universal pattern language as the forms it describes can be found in every things. Their ability to describe complex forms nested within each other and repeated towards infinity, has allowed the modeling of chaotic phenomena.
Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos.
What fractals such as the Mandelbrot set visually showed us, was a mathematical pattern that defines an infinite zoom into and out of the mathematical imagery.

The visual data created by a Mandelbrot naturally occurs in our conscious perception.
Meditation, falling asleep, psychedelic experience, dreaming or even closing your eyes and applying stress to the optic nerve can produce a mosaic fractal within our visual perception.

In a perfect mathematical fractal, such as the famous Mandelbrot set a.k.a, “The Thumbprint of God”, this self-similarity goes infinitely deep: each pattern made up of smaller copies of itself and those smaller copies made up of smaller copies again, forever.
We live in a fractal universe where the macrocosm and the microcosm are reflections of each other.

I Believe the fractal geometry is a proof of a certain connection between the life of plants, inanimate objects, and human beings and the universe is not detached from its origin.

We conclude that the fractal characteristics of these architectural patterns might be intended as a representation of the infinite divine but also of principles of fairness and equality.