I was thinking about how the I Ching is composed of a total of 384 lines (6x64)

Wouldn't it be nice if you could 'interlock' the hexagrams like a jigsaw puzzle?

Have a look at the following code:

THE CODE
0000001001000101010000110100110010110110001110101110011110111111

The 64 bit code above 'defines' the whole of the I Ching, that is it maps the whole realm of change.

With no repetition.

This interlocking key shows a new order or cycle of change...
Different both to the pure binary (Fu Hsi) and also to the Original text arrangement.

You read it 6 'lines' at a time.
Left to right and bottom to top.
ie.

1st hex= the receptive
(000000)1001000101010000110100110010110110001110101110011110111111
2nd hex= bound/field splitting apart
0(000001)001000101010000110100110010110110001110101110011110111111

when you reach the last hexagrams you 'wrap around' the code...
0)0000010010001010100001101001100101101100011101011100111101(11111

easy to see if you write the code out on a circle.

There is something about the interlocking and circular repeating nature of this arrangement that really allures me.

I hope someone can shed some light on this 'discovery'

I've seen no reference to an arrangement of this nature.

Thanks in advance ;-)

JustJoolz

There has been a thread about such arrangements in Open Space: http://www.onlineclarity.co.uk/friends/showthread.php?t=5053

I have been thinking about writing a little computer program that finds all possible solutions. But it needs to be smart. A dumb program that checks all 64 bits numbers to see if they represent a solution would maybe take years.
Will think more about it when I find the time, the energy, the inspiration and stronger coffee.

I generated the sequence 'by hand'.

Method:

Starting with pure Yin energy ( 000 000 )
and Adding Yang Energy unless a duplicate 6 digit entity arises, in which case add Yin to balance.....

First 6 Steps of Change.

0: ( 000 000 )
1: 0 ( 000 001 )
2: 00 ( 000 011 )
3: 000 ( 000 111 )
4: 0000 ( 001 111 )
5: 00000 ( 011 111 )
6: 000000 ( 111 111 )
* note this is where the first duplicate would arise following the rule of adding Yang 1's.
7: 000000 1 ( 111 110 )
8: 000000 11 ( 111 101 )
9: 000000 111 ( 111 011 )
10: 000000 1111 ( 110 111 )
11: 000000 11111 ( 101 111 )
* 2nd Duplicate arises as we already have ( 011 111 ), thus we move to the next 'stage' (the 00 ripple)
12: 000000 11111 1 ( 011 110 )
13: 000000 11111 10 ( 111 100 )
14: 000000 11111 101 ( 111 001 )
15: 000000 11111 1011 ( 110 011 )
16: 000000 11111 10111 ( 100 111 )

17: 000000 11111 101111 ( 001 110 )
18: 000000 11111 1011110 ( 011 101 )
* The 010's ripple
19: 000000 11111 10111100 ( 111 010 )
20: 000000 11111 101111001 ( 110 101 )

21: 000000 11111 1011110011 ( 101 011 )
22: 000000 11111 10111100111 ( 010 111 )

23: 000000 11111 101111001110 ( 101 110 )

24: 000000 11111 1011110011101 ( 011 100 )
* the 000 ripple
25: 000000 11111 10111100111010 ( 111 000 )
26: 000000 11111 101111001110101 ( 110 001 )
27: 000000 11111 1011110011101011 ( 100 011 )
28: 000000 11111 10111100111010111 ( 000 110 )

29: 000000 11111 101111001110101110 ( 001 101 )
30: 000000 11111 1011110011101011100 ( 011 011 )

31: 000000 11111 10111100111010111000 ( 110 110 )
32: 000000 11111 101111001110101110001 ( 101 101 ) // half way there .... hmmm.....

33: 000000 11111 1011110011101011100011 ( 011 010 )
34: 000000 11111 10111100111010111000110 ( 110 100 )

35: 000000 11111 101111001110101110001101 ( 101 001 )
36: 000000 11111 1011110011101011100011011 ( 010 011 )
37: 000000 11111 10111100111010111000110110 ( 100 110 )

38: 000000 11111 101111001110101110001101101 ( 001 100 )
39: 000000 11111 1011110011101011100011011010 ( 011 001 )

40: 000000 11111 10111100111010111000110110100 ( 110 010 )
41: 000000 11111 101111001110101110001101101001 ( 100 101 )

42: 000000 11111 1011110011101011100011011010011 ( 001 011 )
43: 000000 11111 10111100111010111000110110100110 ( 010 110 )

44: 000000 11111 101111001110101110001101101001100 ( 101 100 )
45: 000000 11111 1011110011101011100011011010011001 ( 011 000 )

46: 000000 11111 10111100111010111000110110100110010 ( 110 000 )
47: 000000 11111 101111001110101110001101101001100101 ( 100 001 )

48: 000000 11111 1011110011101011100011011010011001011 ( 000 010 )
49: 000000 11111 10111100111010111000110110100110010110 ( 000 101 )

50: 000000 11111 101111001110101110001101101001100101100 ( 001 010 )

51: 000000 11111 1011110011101011100011011010011001011000 ( 010 101 ) // These two together
52: 000000 11111 10111100111010111000110110100110010110000 ( 101 010 )

53: 000000 11111 101111001110101110001101101001100101100001 ( 010 100 )
54: 000000 11111 1011110011101011100011011010011001011000010 ( 101 000 )

55: 000000 11111 10111100111010111000110110100110010110000101 ( 010 001 )
56: 000000 11111 101111001110101110001101101001100101100001010 ( 100 010 )

57: 000000 11111 1011110011101011100011011010011001011000010101 ( 000 100 )

58: 000000 11111 10111100111010111000110110100110010110000101010 ( 001 001 )
59: 000000 11111 101111001110101110001101101001100101100001010100 ( 010 010 )

60: 000000 11111 1011110011101011100011011010011001011000010101000 ( 100 100 )

61: 000000 11111 10111100111010111000110110100110010110000101010001 ( 001 000 )
62: 000000 11111 101111001110101110001101101001100101100001010100010 ( 010 000 )

63: 000000 11111 1011110011101011100011011010011001011000010101000100 ( 100 000 )



64: 0000001111110111100111010111000110110100110010110000101010001001 ( 000 000 )