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 number﹤3rd position number.

 To around the triangle to do the serial subtraction

Now I arbitrary three numbers

1st position number ﹤2nd position number﹤3rd 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 3^rd - the red 2^nd=133-82= the black 51

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

the red 2^nd–the red 1^st=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 clock’s  “pure-mixed-pure” to do serial subtraction around it .

Keep do it

↓

If let Romeo=0   then Juliet =Helen with Paris + zero（Romeo）

If let  Juliet=0    then Romeo= Helen with Paris +zero（Juliet）

I let Romeo=zero，  then Juliet =Helen with Paris + zero（Romeo）

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:

❶  example one :

Arbitrary three numbers

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

satisfy：

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

That 2﹤5﹤8 

❷  example two：