Binary divination
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Binary divination

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A new method to draw hexagram lines for the ancient book I Ching

A new method to draw hexagram lines for the ancient book I Ching

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    Binary divination Binary divination Presentation Transcript

    • 易經 The binary divination method for the I Ching 0110 6 Designed by Luciano Ramalho, programmer, game inventor and Yi Jing student
    • Classic divination methods ● Yarrow stalk ● Coins ● material: ● material: 50 yarrow stalks 3 identical coins ● probabilities: ● probabilities: 6 1/16 6.25% 6 1/8 12.50% 7 5/16 31.25% 7 3/8 37.50% 8 7/16 43.75% 8 3/8 37.50% 9 3/16 18.75% 9 1/8 12.50%
    • Binary divination method ● Material: 1 coin ● Probabilities: same as the yarrow stalk method 6 1/16 6.25% 7 5/16 31.25% 8 7/16 43.75% 9 3/16 18.75% ● Procedure: for each line, flip the coin 4 times; record result according to table on next slide...
    • two zeroes, 0110 interrupted by 6 two ones 1001 two ones, 1011 interrupted by 9 one or two zeroes 1101 0000 any other 0010 ... sequence ending 8 in zero 1110 0001 any other 0011 … sequence ending 7 in one 1111
    • How to remember ● Tails is Yin: 8 ● Heads is Yang: 7 ● A changing Yin is Yin interrupted by Yang: 6 ● Also, 0110 is 6 in binary
    • How to remember ● A changing Yang is Yang interrupted by Yin: 9 ● Also, 1001 is 9 in binary, while 1011 is 11 and 1101 is 13 (the next odd numbers)
    • How to remember ● Any other sequence ending in Yin is unchanging Yin: 8 ● Any other sequence ending in Yang is unchanging Yang: 7
    • Designer's notes ● The smallest probability in the yarrow method is 1/16 ● For 16 combinations we need 4 bits = 4 coin tosses ● It's better to use 1 coin than 4, and write down each bit from left to right, because the ordering is important ● Even combinations, ending in 0, are Yin ● Odd combinations, ending in 1, are Yang ● 6 in binary is 0110, which reminds me of ● for the 9, we need three combinations to get the same probabilities of the yarrow method, in which Yin lines are less likely to change than Yang lines: ● 9 in binary is 1001, which reminds me of ● the next odd values 11 (1011) and 13 (1101) we read as 9