Mayan Number Converter

Convert decimal numbers to ancient Mayan numerals and vice versa.

Number Conversion

The Mayan Number System

The ancient Maya civilization developed a sophisticated number system that was vigesimal (base-20) and positional. It was one of the few ancient civilizations to independently develop the concept of zero.

Key Features:

  • Base-20: Numbers were grouped in powers of 20 (except for the second position, which was 18 × 20 = 360 for calendar purposes).
  • Three Symbols:
    • A dot (•) for one.
    • A bar (—) for five.
    • A shell-like symbol ( resembling a football or shell) for zero.
  • Vertical Notation: Numbers were written vertically, with the lowest place value at the bottom.

Mayan Number Examples

Decimal Mayan Numerals Explanation
0Mayan 0Zero
1Mayan 1One dot
5Mayan 5One bar
19Mayan 19Three bars and four dots
20Mayan 1
Mayan 0
One (20^1) and zero (20^0)
25Mayan 1
Mayan 5
One (20^1) and five (20^0)
400Mayan 1
Mayan 0
Mayan 0
One (20^2), zero (20^1), zero (20^0)

Frequently Asked Questions

What was the Mayan number system?

The ancient Maya civilization used a vigesimal (base-20) number system, meaning it was based on units of 20. It was also a positional system, similar to our decimal system, but with values increasing by powers of 20 as you move upwards in their vertical notation.

How did Mayans write numbers?

Mayan numerals were written using a combination of three symbols: a dot for one (•), a bar for five (—), and a shell-like symbol for zero ( resembling a football or shell). Numbers were written vertically, with the lowest value at the bottom.

What was unique about the Mayan number system?

One of the most significant features of the Mayan number system was their independent invention of the concept of zero, which was crucial for their positional notation and complex calendar system. Unlike other ancient systems, their system was also designed for astronomical calculations.