The Beauty and Ugliness of Mathematical Enlightenment

Sometimes, beauty or ugliness entirely depends on the angle of appreciation. Everyone understands this principle: those who are physically attractive aren't necessarily beautiful in spirit, and those who are physically unattractive aren't necessarily ugly in spirit. Beauty or ugliness depends on the audience's perspective of appreciation, as well as one's own way of expression. Today, let's take a look at this truth using a mathematical approach.