Maya Numerals (Bars and Dots) Display

Convert a number or a Gregorian date into Maya bars (5) and dots (1) and see it drawn out. Values are broken into base-20 places including the zero symbol, and a date also yields the Maya Long Count, Tzolkin, and Haab calendars.

Input

Input type

Number (integer, 0 or greater)

The number is split into base-20 places and shown as combinations of dots (• = 1) and bars (— = 5). Zero is shown with a shell-like symbol.

Result

Maya numerals for 2,025 (base-20, 3 places)

400s place

20s place

1s place

Input number	2,025
Places (base-20)	3 places
400s place	5 (1 bars, 0 dots) = 2,000
20s place	1 (0 bars, 1 dots) = 20
1s place	5 (1 bars, 0 dots) = 5

How it works

Maya numerals are essentially base-20 (each place holds 0 to 19), where a dot (•) is 1 and a bar (—) is 5. Within a place the dots sit in a row above stacked bars to express any value from 0 to 19.
Zero is written with a special shell-like symbol marking an empty place. The Maya are famous as one of the earliest civilizations to establish the concept of zero.
In 'Number to Maya numerals' mode, the integer you enter is decomposed into base-20 places, and each place value (1s, 20s, 400s, and so on) is drawn as a combination of bars and dots.
In 'Gregorian date to Long Count' mode, the date is converted through the Julian Day Number into the Maya Long Count (baktun, katun, tun, uinal, kin). Unlike pure base-20, the third place (tun) is grouped as 18 x 20 = 360 days.
Alongside the Long Count, the tool shows the sacred Tzolkin round (13 x 20 = 260 days) and the solar Haab year (365 days). Together they form the Calendar Round used to identify a date.
The link between the Long Count epoch and the Gregorian calendar uses the GMT correlation (JDN 584283). Because several correlation constants have been proposed, dates can differ by a few days depending on the source.

Reviews

Tell us what you think of this calculator.