Unravelling the Mysteries of Mayan Mathematics

Mathematics is a universal language that has evolved and been refined by numerous civilizations throughout history. Among them, the ancient Maya civilization of Mesoamerica made remarkable contributions to the field of mathematics. The Mayans developed a sophisticated numerical system, devised advanced calendrical calculations, and possessed an astute understanding of astronomy. In this blog post, we will delve into the intriguing world of Mayan mathematics, exploring their numeral system, mathematical concepts, and astronomical achievements.


Mayan Numeral System:

At the heart of Mayan mathematics lies a unique numeral system, which is vigesimal, meaning it is based on a count of 20. Unlike the decimal system we commonly use today, the Mayans utilized a combination of symbols to represent numbers. They used three basic symbols: a dot (representing one), a horizontal bar (representing five), and a shell-like glyph (representing zero). By combining these symbols, they could express any number up to 19.

To differentiate larger numbers, the Mayans employed a positional notation system, similar to our modern-day decimal system. They used a vertical placement of symbols, where each position represented a power of 20. The bottom position represented units, the second position represented 20s, the third position represented 400s (20 x 20), and so on. This system enabled them to represent incredibly large numbers with relative ease.


Ancient Mathematical Concepts:

The Mayans possessed a comprehensive understanding of arithmetic, geometry, and mathematical calculations. They were adept at performing addition, subtraction, multiplication, and division using their numeral system. Moreover, they developed various mathematical concepts and methods for solving practical problems.

One notable mathematical concept the Mayans devised was the concept of zero. While zero as a placeholder had been used in other ancient civilizations, the Mayans were the first to develop a symbol explicitly representing zero. This innovation greatly influenced mathematics and was a crucial step toward the development of the number system we use today.

The Mayans also excelled in astronomy and created a complex calendar system. They developed accurate astronomical observations and used them to create a highly precise calendar, known as the Mayan Long Count Calendar. This calendar consisted of various cycles, the most significant being the b’ak’tun, which represented a period of 144,000 days. The Long Count Calendar allowed the Mayans to make astronomical predictions and track significant celestial events.


Legacy and Importance:

The Mayan mathematical achievements were extraordinary, considering the limited resources they had at their disposal. Their numeral system and mathematical concepts laid the foundation for future civilizations to build upon. The concept of zero, in particular, had a profound impact on the development of mathematics globally.

In modern times, the study of Mayan mathematics not only provides insights into the sophistication of the Mayan civilization but also serves as a reminder of the diversity and creativity of mathematical thinking across different cultures. It emphasizes the universality of mathematics as a fundamental tool for understanding the world around us.


Mayan mathematics stands as a testament to the intellectual prowess and ingenuity of the ancient Maya civilization. Their numeral system, mathematical concepts, and astronomical achievements were highly advanced for their time. The Mayans’ contributions to mathematics have left an indelible mark on the field, and their legacy continues to inspire mathematicians and historians alike.

Exploring the mysteries of Mayan mathematics not only allows us to appreciate the complexity of their numerical system but also encourages us to embrace the diversity of mathematical thought. By understanding and celebrating the mathematical achievements of different cultures, we gain a broader perspective on the beauty and universality of mathematics as a whole.