As to the maxim "Beauty is in the eye of the beholder" I would counter it with another maxim "Beauty is only skin deep."

But I'm looking for order, for unifying values.

You're going to experience beauty in whatever way you experience it. One thing I would be almost willing to bet money on, though. You will probably not ever find any "unifying values" with regard to beauty (at least not any universal ones), or find anything "unifying" (universally) with regard to anything that can be defined as a "value".