Fórmula universal

[Antonio Linares]

________ | 8 | 4 | 2 | 1 | 0 | <<--
____ -->> | 6 | 3 | 12 | 5 |
________ | 19 | 9 | 20 | 10 | <<--
____ -->> | 16 | 7 | 13 | 14 |
________ | 18 | 17 | 21 | 15 | <<--
____-->> | 11 |

[Antonio Linares]

0
1
2
4
8
16
3 2
6 4
1 2 8
2 5 6
5 1 2
1 0 2 4
2 0 4 8
4 0 9 6
8 1 9 2
1 6 3 8 4
3 2 7 6 8
6 5 5 3 6
1 3 1 0 7 2
2 6 2 1 4 4
5 2 4 2 8 8
1 0 4 8 5 7 6
2 0 9 7 1 5 2
4 1 9 4 3 0 4
8 3 8 8 6 0 8
1 6 7 7 7 2 1 6
3 3 5 5 4 4 3 2
6 7 1 0 8 8 6 4
1 3 4 2 1 7 7 2 8
2 6 8 4 3 5 4 5 6
5 3 6 8 7 0 9 1 2
1 0 7 3 7 4 1 8 2 4
2 1 4 7 4 8 3 6 4 8
4 2 9 4 9 6 7 2 9 6
8 5 8 9 9 3 4 5 9 2
1 7 1 7 9 8 6 9 1 8 4
3 4 3 5 9 7 3 8 3 6 8
6 8 7 1 9 4 7 6 7 3 6
1 3 7 4 3 8 9 5 3 4 7 2
2 7 4 8 7 7 9 0 6 9 4 4
5 4 9 7 5 5 8 1 3 8 8 8
1 0 9 9 5 1 1 6 2 7 7 7 6

[Enrico Maria Giordano]

Antonio,

what's this? I don't understand.

EMG

[Antonio Linares]

It is something that I am reading about, that suposedly its an universal series (in example, as the constant pi) that may appear in many cases in everywhere in the universe.

What surprised me is that the way to get it. Yes, those numbers we are very much used to them, as they are based 2 powers ( 2 ^ 0, 2 ^ 1, 2 ^ 2 ) and then the red color numbers represent the ones not found yet in the list.

This should be applicable to many different things, and I wonder where we can find them, and the purpose for those series. Possibly we can't understand why, but they are there, as pi exists.

[Antonio Linares]

The series is this one. The above msgs show how to build it:

0,1,2,4,8,6,3,12,5,10,20,9,19,16,7,13,14,15,21,17,18,11

Programmatically I don't know how to get it yet

[Antonio Linares]

In binary mode:

0000 --> 0
0001 --> 1
0010 --> 2
0100 --> 4
1000 --> 8
0110 --> 6
0011 --> 3
1100 --> 12
0101 --> 5
1010 --> 10
10100 --> 20
1001 --> 9
10011 -->19
10000 --> 16
00111 --> 7
01101 --> 13
01110 --> 14
01111 --> 15
10101 --> 21
10001 --> 17
10010 --> 18
01011 --> 11