The Hyperian Community of Archimedes Constant is a gargantuan, efficient nation, ruled by Archimedes of Syracuse with a fair hand, and renowned for its public floggings, ubiquitous missile silos, and state-planned economy. The hard-nosed, hard-working, democratic population of 21.425 billion Pi live in a state of perpetual fear, as a complete breakdown of social order has led to the rise of order through biker gangs.

The medium-sized, liberal, outspoken government juggles the competing demands of Education, Healthcare, and Social Policy. It meets to discuss matters of state in the capital city of Pi City. Citizens pay a flat income tax of 30.4%.

The thriving Pi economy, worth a remarkable 1,426 trillion Drachmas a year, is driven entirely by a combination of government and state-owned industry, with private enterprise illegal. However, for those in the know, there is a slick, highly efficient, fairly diversified black market in Gambling, Information Technology, Cheese Exports, and Soda Sales. The private sector mostly consists of enterprising ten-year-olds selling lemonade on the sidewalk, but the government is looking at stamping this out. Average income is 66,573 Drachmas, but there is a significant disparity between incomes, with the richest 10% of citizens earning 209,590 per year while the poor average 16,174, a ratio of 13.0 to 1.

The alarmingly racist TV show 'Bigtopians Say the Darndest Things' is a hit, it is illegal for police officers to carry out searches due to strict privacy laws, Hellenism has been named as Archimedes Constant's national religion, and Archimedes of Syracuse has just been declared ruler of Archimedes Constant in an international press conference. Crime is a problem, with the police force struggling against a lack of funding and a high mortality rate. Archimedes Constant's national animal is the Beluga Whale and its national religion is Hellenism.

Archimedes Constant is ranked 129,241^st in the world and 3^rd in New Hypertension for Most Beautiful Environments, with 529.87 pounds of wildlife per square mile.