Question

How are Mayan numbers written? What do these numbers prove?

Answer 1

Short answer: Maya numbers are a vigesimal (base‑20) positional system written with dots (1), bars (5) and a shell symbol for zero, stacked vertically so each level is a place value. They demonstrate that the Maya understood place value and the abstract concept of zero and used that powerfully in calendrics and astronomy.

Details
- Digits within one place: 0 = shell symbol; 1–4 = one to four dots (•); 5 = bar (—); other values combine bars and dots additively (e.g., 7 = —••). Any place can represent 0–19.
- Positional stacking: numbers are written in vertical positions. Bottom position = units (1), next = 20s, next normally = 400s (20×20) in a pure vigesimal system, but in Maya Long Count calendrical inscriptions the third place is 18×20 = 360 (to fit a 360‑day tun), so place values run 1, 20, 360, 7,200, 144,000, ...
- Example: 83 = (4 in the 20s place) above (3 in the units place), written as •••• (over) •••.

What this proves or demonstrates
- The Maya had a true positional numeral system (not merely additive) and a clear symbol for zero — a mathematically sophisticated idea missing in many contemporary systems.
- This enabled compact representation of large numbers and efficient arithmetic and supported their complex Long Count calendar and detailed astronomical tables (Venus cycle, eclipse predictions, etc.).
- The inscriptions and codices therefore show the Maya possessed advanced mathematical thinking and an independent tradition of numerical notation and calendrical/astronomical computation.