It is quite interesting that humans are naturally attracted to symmetrical visuals. Facial recognition is hardwired at birth, and from very early on in life, babies can tell one "attractive" face from another, for they spend longer amounts of time gazing upon some people rather than others. This alluring physical attraction that starts at a young age obviously has to do with someone's facial characteristics, and it has been scientifically proven that faces with symmetry are commonly referred to as more "pretty" than one with less exact/perfect features, for they tend to signify that that person is healthy which of course brings up the notion of natural selection. Of course, math isn't all about choosing faces and picking which one we like best, but it is about numbers, and here are some pretty numbers that display symmetry beyond what the naked eye sees:
Taking a number, 87 in this case and then adding it's reversed digits (78) will get you 165. Then you take 165+ it's reversed digits (561) which equals 726. After this, you add 726+627 which will get you 1353. Finally, you add 1353 + 3531 = 4884....would you look at that, its a palindrome!!! According to http://www.jasondoucette.com/worldrecords.html , all numbers, if you continue to add ab+ba, will become a palindrome by using the submerse from the sums!
This non-numerical palindrome is my favorite because it incorporates real names, and somehow it all works in a beautiful way to make one beautifully crafted and simultaneously symmetrical list of names that seem to represent people who misbehaved! WOW!