What could be beautifully impossible?

At this time (the time during which I am composing my answer) seven answers have been submitted so far. Looking at those answers, it seems to me that I am approaching the question in a way that differs from the way in which others have, so far, approached it. (with the possible exception of Houston)

It seems to me, something that is beautifully impossible is beautiful because it is impossible. World peace isn't beautiful because it's impossible. It's beautiful because it compares so favorably to all the ugliness, pain and destruction of a world ravaged by warfare. As I see it, the idea that world peace is impossible doesn't make world peace more beautiful; it is just, if accepted, an idea that is ugly, and painfully tragic in its pessimism, or if rejected, an idea that world peace is beautifully possible.

My idea of something that is beautifully impossible is something like Donald Trump becoming the absolute ruler of the entire world for a hundred years, or a swarm of dragons emerging from a cave with the sole purpose of hunting, and burning alive, everyone that I know, or gravity ceasing to exist, or some such thing.

Djsja

An honest politician

Immortality

Beautifully impossible is a phrase like an oxymoron.........

Whatever is impossible does not exist and it is impossible because it can not even be brought to exist.

What does not and can not exist can not be judged either as beautiful or ugly.

Peace on Earth.

peace

Ugliness of mind with good face