Genetics and the Gauss Algorithm

by Craig Paardekooper Feb 2010
 

The teacher gave an exercise to a class of young pupils (only 9 years of age) to add all the numbers from 1 to 100, thinking he would have enough time to get on with other things while the pupils did the long addition. So the teacher was surprised when one pupil produced the correct answer in less than 3 minutes. The answer was 5050.

Asked how he calculated it, the young student explained that he added the first and last numbers (1 + 100 = 101), then the following and the first preceding one (2 + 99 = 101) and so on. Since there are 50 such pairs, he multiplied 50 x 101 and obtained the requested result.

The young pupil was named Gauss, and the algorithm he used to get the answer has become known as Gauss's Algorithm.

 

Now let us consider what would happen if the teacher had asked the students to sum all the numbers from 1 to 101.  The following table is obtained -

There are 50 pairs + a single unpaired number (51)

Please remember the numbers in the top row -

1 + 101

11 + 91

21 + 81

31 + 71

41 + 61

What you are about to read is truly amazing.....

There are 20 amino acids. Each amino acid consists of a standard "body" part, which is the same for all the amino acids,  and a "head" part which is different in each amino acid. Here are the head parts for each of the amino acids

The number of atoms in the head parts of these amino acids is shown in the 4 x 5 table below

What is interesting is how the row and column sums follow the Gauss Algorithm pattern

11 + 91

21 + 81

31 + 71

41 + 61

The First and the Last - the Beginning and the End

References

This essay is a summary of the amazing discoveries of Rakocevic as found here -

"Genetic Code as a Harmonic System" by Miloje M. Rakocevic

I am first and last,
I am honoured and scorned,

I am the silence that cannot be grasped,
I am the sound of my name.