Short Answer: Discuss three important achievements of the ancient Maya. Write your answer in English.

1. Advanced Mathematics: The ancient Maya developed a sophisticated mathematical system, including the concept of zero, which enabled them to make precise astronomical calculations and create complex calendars. They also used a base-20 numerical system and had a deep understanding of geometry.

2. Writing System: The Maya had a complex writing system consisting of hieroglyphs that recorded historical events, religious rituals, and astronomical observations. This writing system was one of the most advanced in the ancient world and allowed the Maya to keep detailed records of their achievements and beliefs.

3. Architectural Marvels: The ancient Maya built impressive cities with monumental architecture, such as temples, pyramids, and palaces. They also constructed advanced irrigation systems, terraces for farming, and elaborate ball courts. The Maya city of Tikal in present-day Guatemala is a prime example of their architectural prowess and urban planning skills.