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Mathematics consists of two main branches, firstly geometry and secondly numbers or algebra. I discussed this topic already in my Pfiffikus Encyclopedia under the keywords dialectics, root of plus one or spatial expression and root of minus one and temporal expression and the birthday anniversary of Nicholas of Cusa, but why make it so complicated. A more graphic approach is also possible – though lengthier.
Here is the hint. At first we have a square measuring one at each side. If I draw a circle around it, it will be 1.27 times larger than the square. If I add up the four sides of the square, this sum will also be 1.27 times larger than the diameter of the circle, which I drew around the square. If I make a cube from the square, I could also put a sphere inside and it will be just 1.27 times smaller than the cube itself. Or the latter is 1.27 times bigger than the sphere placed inside of it. I could divide the square into 9 squares, all of which would be 0.111 smaller or one tenth of it. Then I divide the innermost square into nine squares and again into nine squares and so forth. As my faithful readers, you already know that you can multiply 0.111...... times 0.111......, that is square this number and get all numbers of the whole world – forward and backward. This is like a palindrome or force equals counterforce.
Now there is something else to consider. In my Pfiffikus Encyclopedia you can learn about the chessboard. It has exactly 64 squares and 81 points of intersection, just like the RNA and DNA with their three or four nucleic acids, respectively. The DNA puts three in the race; the RNA has four, doing something through time coding at the wounded place of the cell. Three to the power of four is 81 and four to the power of three is 64. Which was to be demonstrated.
But this also needs dynamic or the creation of these elements. First of all imagine a straight line, which of course is created with a string. If I roll a cent with a red dot at its edge along it, this dot will describe an exact arc that mathematically speaking is also called a cycloid, which with accelerated motion manages the shortest time between two points. What motions are not accelerated? All of them are. The angle, which is described in this process, is 180 degrees. The little red dot made 180 steps in order to become a circle. In the third dimension this is identical. See also above.
Nature does it almost the same way, but with a tiny little difference. It is unable to draw infinitely thin lines or infinitely small dots. You would like to recognize the color, wouldn’t you? Make a comparison. 81 divided by 64 equals 1.27. Nature knows of only three place values just like the slide rule, with which the foundations of the complete engineering knowledge of our times were calculated. Napier invented the slide rule and was almost burnt as a heretic because with plus and minus he depicted division and multiplication. This was knowledge of grade 9 in the GDR. 1.27 is also the expansion of a gas when its heat is increased by one step or one degree. This is called the Gay-Lussac’s Law. It is the foundation of all physics, chemistry, biology and thermodynamics, which is also called physical chemistry. The transformation of a solid into a gas is characterized by a multiple of 1800. See above under cycloids or the arc.
Let's get back to the chessboard with its 64 squares and 81 points of intersection. Imagine how you would draw it. You must always start with a square. This very same square will consist of another nine squares and so forth (see above). You should draw of course with a compass and ruler, but instead of the latter it is even better to use a chalk line, which you can dip in black powder and snap against the surface like a mason. Next you take the cent with its red dot and roll it along the line, starting where the dot touches the line. You will end up with a half circle. In this moment think, just like I do, that an electron is 1832 times more expanded than a proton or neutron? Both of them vibrate back and forth, allowing a dot on their surface to describe half circles at the equator.
Now you have got all numbers of the world – forward and backward. You even derive all the important natural constants by means of geometry: down to the third value including estimation errors that cannot be avoided. Also think of the minimum thickness of lines and dots and how each pen gets worn down and so forth. Furthermore you always have to refill the material.
And what did the stupid physicists and chemists do? They supposedly have the fastest computers of the world, calculating gravity down to the twelfth value. This is madness. They do calculations with positrons and electrons, not realizing that they do not exist in this form, but need to be redrawn or recreated with cent and red dot or whatever you prefer in your imagination. Remember the 81 elements of the periodic table equals 3 to the power of 4. These are only the corner points of the transparent squares and circles, of which we have 64.
With this I also send my greetings to Mr. Peter Plichta whom I owe the 81, no more and no less. I am lucky that he had not thought any further.
The foundation of biology is neither protons nor neutrons, but the water molecule that constantly recreates a new web with others. On average it only has the formula H1.5O, from which it can weave any web in all variations including circular, spherical, quadratic or cubic – with and without holes just like proteins.
Once you have read the above article, take a cent (or compass) and a string (or ruler) and try it out on paper. I have just had this thought today when I played soccer with my grandson who all of a sudden turned into a chessboard in front of me. I started to kick happily about, preparing this article in my mind. Force is always gas expansion (active transpiration or living sublimation).
With best regards,
Peter Augustin
September 2006