the history of geometric patterns

Islamic decoration makes great use of geometric patterns which have developed over the centuries. Many of these derived from various earlier cultures Greek, Roman, by zantine centrel  asian, and Persian. They are usually distinguished from the arabesque, the term for decoration in islamic art based on curving and branching vegetal forms. But sometimes foliage and linear geometric patterns are combined in a single design, and some purely abstract linear patterns adopt designs that seem clearly derived from vegetal arabesque ones. The geometric designs have evolved into beautiful and highly complex patterns, still used in many modern day thing like tattooing/wallpaper/

the flower of life 
The flower of life holds a secret symbol created by drawing 13 circles out of then. flower of life By doing this, one can discover the most important and sacred pattern in the universe. This is the source of all that exists; it's called the fruit of life It contains 13 informational systems. Each one explains another aspect of reality. Thus these systems are able to give us access to everything ranging from the human body to the galaxies. In the first system, for example, it's possible to create any molecular structure and any living cellular structure that exists in the universe. In short every living creature. 

the beginning of geometric patterns 
The word ‘geometry’ comes from the Greek words  geo meaning earth  and  metria meaning measure.

Along with arithmetic  geometry was one of the two fields of pre-modern mathematics.
Ancient Egyptians used geometry principles as far back as 3000 BC, using equations to approximate the area of circles among other formulas.

modern day geometric patterns