Friday, November 16, 2012

Fibonacci sequence appear 5 actions

Fibonacci sequence
Fibonacci sequence appear 5 actions
Whenever 5 positions gap it
1, 1, 2, 3, 5,8,  13,  21, 34, 55, 89, 144, 233, 377, 610,987, 1597, 2584, 4181, 6765,10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465,


Fibonacci sequence:





Fibonacci sequence:

Whenever 5 positions gap it



If Fibonacci sequence start from    “two, two”;     “three, three”;

  “four, four”;   “five, five”;    “six, six”;    “seven, seven”; “eight, eight”;   “nine , nine”. Fibonacci sequence still is the Fibonacci sequence .as followers:

Fibonacci sequence start from “one ,one ”:










Fibonacci sequence start from “two, two”:





Fibonacci sequence start from    “three, three”







Fibonacci sequence start from “four, four”





Fibonacci sequence start from  “five, five”;    “six, six”;    “seven, seven”; “eight, eight”;   “nine , nine”. The rest of the analogy.





According Mr. Clear clock  “pure-mixed-pure” triangle.
Arbitrary three numbers

1st position number;  2nd position number   3rd position number.

satisfy
1st position number 2nd position number3rd position number.
 To around the triangle to do the serial subtraction

Now I arbitrary three numbers
1st position number 2nd position number3rd position number  that  51 133 184





The blue color triangle


The blue 3rd position number–the blue 2nd position number =the blue 184- the blue 133=the red 51

The blue 3rd position number – the blue 1st position number= the blue 184- the blue 51=the red 133

the blue 2nd position number– the blue 1st position number = the blue 133- the blue 51=the red 82








Now I to do the red color triangle



The red 3rd - the red 2nd=133-82= the black 51

the red 3rd –the red 1st=133-51=the black 82

the red 2nd–the red 1st=82-51= the black 31








Keep do the” black”:



Keep do it:



Keep do it until Romeo=0   :





If Fibonacci sequence start from “two, two”;  “three, three”;
  “four, four”;   “five, five”;    “six, six”;    “seven, seven”; “eight, eight”;   “nine , nine”. Fibonacci sequence still is the Fibonacci sequence.

If I take the Mr. Clear clocks  pure-mixed-pure” to do serial subtraction around it .










Keep do it



If let Romeo=0   then Juliet =Helen with Paris + zeroRomeo
If let  Juliet=0    then Romeo= Helen with Paris +zeroJuliet






I let Romeo=zero  then Juliet =Helen with Paris + zeroRomeo
It would be :
1=1+ zero
2=2+ zero
3=3+ zero
4=4+ zero
5=5+ zero
6=6+ zero
7=7+ zero
8=8+ zero
9=9+ zero


Some more examples:

 example one :
Arbitrary three numbers

1st position number;  2nd position number   3rd position number.
satisfy
1st position number 2nd position number3rd position number.


That 25





 example two
                                







the 3:2 Three guys two girls, it is single 參天兩地而倚數



                     •Three guys two girls, it is single . (3:2)


Three guys two girls, it is single ( that odd number).
It tells 3:2 hedge with 2:3. (In fact, also including 9:6)
Use the tortoise to express it (don't have to take the tortoise actually)
The tortoise






Red cycle is the tortoise’s M number; (odd)              Blue cycle is the tortoise’s F number (even)



Masculine number×3                                                         feminine number×2

1397                                2486


1×3=3     =3        3                 2×2=4    =22       4 
3×3=9     =32          9               4×2=8    =23      8
9×3=27     =33                        8×2=16   =24     6
27×3=81    =34          1               16×2=32   =25      2 
   
One again (digit of the number)                        two again (digit of the number)
81×3=243       3                                         32×2=64         4
243×3=729      9                                        64×2=128        8
729×3=2187     7                                       128×2=256       6
2187×3=6561    1                                       256×2=512       2
  
One again                                               two again
6561×3=19683       3                            512×2=1024        4   
19683×3=59049      9                            1024×2=2048       8
59049×3=177147     7                           2048×2=4096       6 
177147×3=531441                             4096×2=8192       2


One again                                        two again
531441×3=1594323       3            8192×2=16384        4
1594323×3=4782969     9            16384×2=32768       8
4782969×3=14348907    7           32768×2=65536        6
14348907×3=43046721            65536×2=1310872    


To plus them :





3+9+27+81=120   -------the purple number was gotten from plus them .




Red cycle is the tortoise’s M number; (odd)

9720÷120=81
787320÷9720=81
63772920÷787320=81
I always got 81

Blue cycle is the tortoise’s F number (even)
960÷60=16
15360÷960=16
245760÷15360=16
I always got 16

Now I got 81 and 16.
34 =81  
 24 =16

The tortoise’s Masculine number; (odd)
3=31 9=3 27=33     81 =34
Three guys : 31 3 33    34 odd always walk as three

The tortoise’s Feminine number (even)
              4 =22 8=23   16=24 32=2
Two girls :22 23   24 25 even always walk as two

Now I see it goes back three guys’ two girls …




Odd numbers 1;3;9;7 as a groupthe red
Even 2;4;8;6 as a group. (the blue)
.




Why Odd number is 13579  but goes  1397
Why Even number is 246810 but goes 2486

因为Three guys two girls, it is single . 參天兩地而倚數”是关于乘除法而不是加减法。




Masculine increase more and more from 19 in the odd. Feminine increase more and more from 28 in the even.



In other words Masculine reduce more and more from 91 in the odd. Feminine reduce more and more from 82 in the even .





I would draw too extreme figure special for feminine and masculine from numbers of it later.
To make the M.I.F.Rand F.I.M.R situation of it  have “mirror hedge ”direction






我们也可以从计算中观察到奇偶数在加减法和乘除法中如此不同的数序。
奇偶数在加减法的序列中,把一和九放在两端,因为它们是对冲数,于此同时一是最小的奇数,把他们中间两数相加,最后正好可以拆分成两端的数。也就是说把中间两数37相加,最后正好可以拆分成两端的数19.(由个位数体现)

奇偶数在乘除法的序列中,把他们中间两数相乘,最后正好可以在个位数上拆分成两端的数。也就是说把中间两数39相乘,最后正好可以拆分成两端的数17.   三乘九=2727去除以第一个奇数,最后正好可以在个位数上拆分成两端的数17.
再比如说偶数组,把偶数组中间两数48相乘,48相乘=32.再用32去除以第一个偶数,最后正好可以在个位数上拆分成两端的数26.
我后面章节还会继续讨论这个问题。
至理只在眼前,这些东西体现了纯数学的本质——象数的天然对称性。最天然的数学是对称而不是逻辑。现代人的头脑多数被应用数学奴役,并以为见识到应用数学就是意味着是见识到数学了。老子在《道德经》中说‘善数,不用筹策,如果说筹策是古时人们用作计算的算盘器具之类。这样的话,我对这句话的理解是,数技最高是没有逻辑,没有逻辑就是他的逻辑,(纯数学不能应用数学的方法去运作,应用数学有人为的因素,而纯数学是天然形成的客观事实。)这一切看上去很简单朴实,但是要靠自己心领神会。