A lot of people claim that the world as we know it came about randomly, meaning there was no one who intended the world to exist. They say all the universe just came about in the same way a certain pattern of dust collects on a book shelf. They then try to use the same explanation for the stunningly sophisticated systems that fill our world: Our ecosystem, solar system, nervous system, digestive system, reproductive system, etc. These are all supposed to be random systems, but a "random system" is the same kind of phrase as a square circle. It cannot be both. A system is an intentionally ordered grouping of multiple parts which works to carry out a particular purpose. There can be no such thing as a random system that is intended to work in a certain order for a particular purpose, because random means that which is without intent, order, and purpose.
The same is true of beauty. We cannot coherently talk about "random beauty." There is an inescapable chain of logic that can't be broken without falling into nonsense. When we say something is beautiful that means the thing is important. To say something is important is to say the thing is meaningful. To say it is meaningful is to say that it exists for a purpose. But again, "random" necessarily means the absence of importance, meaning, and purpose. These three are to beauty what squares are to a cube. We cannot talk intelligibly about cubes while denying the existence of squares.