"For every mixture, if it is rightly made, as Socrates says, requires these three things, beauty, truth, and symmetry. For neither will any thing base, if it is introduced into the mixture, impart rectitude, since it will be the cause of error, and of inordinate prerogative, nor if truth is at any time separated, will it suffer the mixture to consist of things that are pure, and which are in reality subdued, but it will fill the whole with an image and with non-being. Nor without symmetry will there be a communion of the elements, and an elegant association. Symmetry, therefore, is necessary to the union of the things that are mingled, and to an appropriate communion. But truth is necessary to purity. And beauty to order; which also renders the whole lovely. For when each thing in the mixture has a place adapted to itself, it renders both the elements, and the arrangement resulting from them, beautiful. Here therefore, in the first mixture, these three things are apparent, symmetry, truth, and beauty. And symmetry indeed is the cause to the mixture, that being is one; truth is the cause of the reality of its existence; and beauty is the cause of its being intelligible. Hence it is intelligible and truly being."
- Proclus Lycius (412 – 485)
Note. This remarkable geometry is what meets the gaze of anyone who looks up at the Adolfo Suárez Madrid–Barajas Airport in Spain. We were racing through the airport to get to our flight from Madrid to Galicia last month (to watch the eclipse), my iPhone managed to catch a few vies of the beautiful overhead design in Madrid. Next to the Escher-like ceiling at the international terminal in Auckland, New Zealand, Madrid, this is among my all time favorites.
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