Final answer:
The game of Badminton, previously called Poona, had its first rules written in the town of Poona in 1872, but is different from ancient Mesoamerican ballgames, which had religious significance.
Step-by-step explanation:
Badminton, also known as Poona or Poonah, did indeed have its first rules drawn up in a garrison town of the same name in 1872. However, the student's question seems to mix the modern sport of badminton with the ancient Mesoamerican ballgame known as pitz to the Maya and as Ƶllamaliztli to the Aztecs, which had deep ceremonial significance and was sometimes associated with religious rituals and human sacrifices.
While badminton, as a gentler sport, evolved differently from these ancient games, it's fascinating that all these sports shared the commonality of being community-centric and significant to their respective cultures.