I can’t speak for whatever religious factors may have come into play, but it’s worth remembering that during the Golden Age of Islam, a lot of our modern concepts of mathematics were first explored by Islamic mathematicians. To this day we still call algebra “algebra” for example, an ultimately Arabic word. It’s also why we refer to them as “Arab numerals”. These guys really loved them some math, and this no doubt managed to carry on into their creative expression.
tl:dr Muslims are some of the OG’s of math after the Greeks and stuff
Many Muslims follow a form of their faith that says any art that looks like a living thing is idolatry and forbidden.
If you aren’t making anything like people, animals, or plants, you don’t have too many options calligraphy (art with words) and art with geometric patterns are both good ways to avoid those prohibitions.
One of the founding ideals of Islam was being against idol worship. This means not placing any depictions (paintings or sculptures) of things in places of reverence. (Things being something that could be an object of worship)
So Muslims expressed themselves through abstract art.
Source: I’m a Muslim
Structured art and architecture almost always follows geometric rules.
What you are calling an obsession could just as easily be described as a respect for the laws of nature and mankind’s ability to observe the natural and build off of it.
All arts are spawned by discovery and invention, so I think you are on the right track of understanding.
Older muslims believed that art depicting real sentient things was encouraging idolatry. It was also just taboo to mimic God’s work in general.
So what beauty did humans create themselves?
Geometry. The art of shapes. Abstract objects unfounded in nature that we’ve given utility.
Also: Writing. Another inherently human invention, that’s proven itself to be quite the beautiful thing.
Kufic calligraphy, and geometric tiling was an easy way to create beauty from human order; it was as close to novel as we could get.
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