The Maya had two different ways of writing their numerals,[57] namely: (1)
With normal forms, and (2) with head variants; that is, each of the
numerals up to and including 19 had two distinct characters which stood for
it, just as in the case of the time periods and more rarely, the days and
months. The normal forms of the numerals may be compared to our Roman
figures, since they are built up by the combination of certain elements
which had a fixed numerical value, like the letters I, V, X, L, C, D, and
M, which in Roman notation stand for the values 1, 5, 10, 50, 100, 500, and
1,000, respectively. The head-variant numerals, on the other hand, more
closely resemble our Arabic figures, since there was a special head form
for each number up to and including 13, just as there are special
characters for the first nine figures and zero in Arabic notation.
Moreover, this parallel between our Arabic figures and the Maya
head-variant numerals extends to the formation of the higher numbers. Thus,
the Maya formed the head-variant numerals for 14, 15, 16, 17, 18, and 19 by
applying the essential characteristic of the head variant for 10 to the
head variants for 4, 5, 6, 7, 8, and 9, respectively, just as the sign for
10--that is, one in the tens place and zero in the units place--is used in
connection with the signs for the first nine figures in Arabic notation to
form the numbers 11 to 19, inclusive. Both of these notations occur in the
inscriptions, but with very few exceptions[58] no head-variant numerals
have yet been found in the codices.
BAR AND DOT NUMERALS
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