The correct answer is to achieve perfection. Utopian societies were made so that people could have perfect lives. Obviously, it hasn't worked yet.
What are you asking in this question i don't understand.
I believe that the idea of a Roman Empire enduring in Europe 300 years after its fall is explained because the Roman Empire symbolized the idea of power and unity of a huge Empire. For political reasons, many emperors such as Charlemagne wanted to maintain this title so he could inspire an idea of Emperor and Empire that took almost all European countries.
They used 20-day months, and had two calendar years: the 260-day Sacred Round, or tzolkin, and the 365-day Vague Year, or haab. These two calendars coincided every 52 years. The 52-year period of time was called a "bundle" and meant the same to the Maya as our century does to us.