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Discuss three important achievements of the ancient Maya. Write your answer in English. (4 points)

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Here are three important achievements of the ancient Maya, with a brief discussion of each:

1. Hieroglyphic writing and historical records
- The Maya developed a complex hieroglyphic script used to record history, royal lineages, rituals, and myths on stelae, pottery, and codices.
- This writing preserved detailed political and cultural information that lets modern scholars reconstruct Maya history and society.

2. Mathematics, including the concept of zero
- Maya mathematicians used a vigesimal (base‑20) number system and were among the earliest cultures to use an explicit symbol for zero.
- This numeric sophistication made possible advanced calculations for architecture, astronomy, and calendrical systems.

3. Astronomy and calendrical systems
- The Maya produced highly accurate calendars (Tzolk’in, Haab’, and the Long Count) and tracked celestial bodies (notably the sun and Venus) to predict cycles important for agriculture and ritual.
- Their astronomical observations guided planting schedules, religious ceremonies, and the timing of political events.

These achievements combined to support complex Maya cities, religion, and government, and they left a durable intellectual legacy preserved in monuments and codices.