Natural architecture is defined by an organizing structure, and fractal geometry provides a tangible way to understand and describe this structure.
Fractals are mathematical representations of irregularity and chaotic phenomena, embodying order within disorder and woven into the fabric of reality. They hint at a deep connection, where the macrocosm mirrors the microcosm, linking the inner and outer realms, high above and so below.
Self-similarity forms the essence of fractals. where parts resemble the whole, infinitely iterated within a finite space, creating symmetry in all dimensions.
In mathematics, self-similarity means that when the entire structure is scaled, the resulting shape remains similar to the original, preserving relative proportions and internal angles.
In a perfect fractal like the famous Mandelbrot set, also known as the «Thumbprint of God», this self-similarity extends infinitely deep: each pattern is a smaller copy of itself, manifesting unity in diversity.
Fractal geometry demonstrates a specific connection between all things, indicating that the diverse universe is not separate from its origin.
The visual data created by fractals naturally occur in our conscious perception. In human and animal nervous systems, electrical signaling, and in plants, growth, is a fractal process.
Meditation, psychedelic experiences, dreaming, or even closing eyes and applying pressure to the optic nerve can induce a fractal process in our visual perception.
Fractal geometry acts as a strong stimulus for the brain, generating intense spiritual emotions in a short time. The fractal characteristics in religious architectural patterns may symbolize infinite divinity and balance.