Mayan numbers, conversions
Maya numbering is a numbering system that was developed and used throughout the Mayan Empire. As symbols to represent certain values, the points, the horizontal line and the shell organized in the levels are used.
Converting Arabic numbers to Mayan numbers
You can convert the natural number up to 10,000 for example 123 or 2022.
Mayan mathThe examples. Level 1 is the lowest level.
22 = 2*1 + 1*20 (two points at level 1, 1 point at level 2)
41 = 1*1 + 2*20 (one point at level 1, 2 point at level 2)
122 = 6*20
(two points at level 1, 1 point and the horizontal line at level 2)
402 = 2*1 + 0*20 + 1*202
(two points at level 1, the shell at level 2, one point at level 3)
8000 = 0 + 0*20 + 0*202 + 1*203
(levels 1, 2 and 3 the shell, a point at level 4)
Mayan numberingIn the base numbering system, the unit is represented by a point. Two, three, and four dots serve to represent 2, 3, and 4, and the horizontal line serves to represent 5. The symbol of a shell or snail served to represent zero. The Mayans could write any number from 0 to 19, using a combination of these symbols. The exact value of a number was determined by its vertical position. When raising a position, the basic value of the unit multiplied by twenty. In this way, the lowest symbol would represent the base units, the next symbol, in the second position, would represent a multiplication by twenty of the unit, and the symbol in the third position would represent a multiplication by 400, and so on. For example, the number 882 is written with four dots at the lowest level, four dots at the next highest level, and two points at the next level, to give 2 * 1, with 4 * 20, with 2 * 400. With this system the Mayans could write very long numbers up to 159,999. More about Mayan numbering
The table of Mayan mathematicsThe horizontal levels and the multiplications.
|4th order||d*203 + c*202 + b*201 + a*200||From 8,000 to 159,999|
|3rd order||c*202 + b*201 + a*200||From 400 to 7,999|
|2nd order||b*201 + a*200||From 20 to 399|
|1st order||a*200||From 0 al 19|
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List of the first 10,000 Mayan numbers
from 0 to 100