Parece que os chineses há 3000 anos sabiam coisas razoavelmente avançadas de combinatória. E o I Ching pode ser interpretado como um sistema de representação binária dos números de 0 a 64. Vejam isto:
The first and most enigmatic of the Chinese classics is the
Book of Changes, and the reasoning behind its binary hexagram sequence remained an unsolved mystery for some 3,000 years (according to the tradition ascribing it to King Wen of Zhou, d. -11th c.). This
Monograph resolves the classical enigma:
Richard Cook provides a comprehensive analysis of the hexagram sequence, showing that its classification of binary sequences demonstrates knowledge of the convergence of certain
linear recurrence sequences (LRS; Pingala -5th c.?, Fibonacci 1202) to
division in extreme and mean ratio (DEMR, the “Golden Section” irrational; Pythagoras -6th c.?, Euclid -4th c.). It is shown that the complex hexagram sequence encapsulates a careful and ingenious demonstration of the LRS/DEMR relation, that this knowledge results from general combinatorial analysis, and is reflected in elements emphasized in ancient Chinese and Western mathematical traditions.
Mais em: http://linguistics.berkeley.edu/~rscook/images/CCCprev/CCCprev.html
http://stedt.berkeley.edu/html/publications.html#mng5
http://en.wikipedia.org/wiki/I_ching
Ah! E vcs sabiam que os oito dígitos de pi começando no 242 422º número depois da vírgula são 42424242!?