Three-dimensional multiplication table! What is it?

  • Dec 24, 2019
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Friends! My newly released article "We were taught that there is only the multiplication table, but she was not alone" It caused a lot of debate and controversy. People's opinions are divided. Questions have been associated with both the historical facts and the logic of the system of multiplication of spatial figures. The lion's share of people reading a text in a few minutes, even without delving into the essence - just put "Dizlayk" and cut down with swords, like "Bullshit", "Crazy", etc.

Despite the number of negative reviews, many people had positive comments are very thoughtful and detailed assessment - very thanks and respect! )))
According to the reviews, I realized that was not enough links to sources and explain the logic multiplication process, so this article will cover it. Due to the fact that almost all power lost - describes what he could find.

Of the arithmetic used by our ancestors (including Svyatorussy, Raseny, Da'Ariytsy) for the construction of ziggurats, temples, columns, etc. IN The ancient city of Baalbek - a striking accuracy when joining 500-ton stones and tiny error on the center axis at 20 meter height columns.

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Slavic culture researcher BA Fishermen in 1949 He confirmed that at the heart of ancient measures is irrational ratio of the diagonal to the square the value of his hand, which gave him the impetus to the subsequent finding connections with strictly mathematical dependence.

Several aspect ratio and a diagonal of a square
Several aspect ratio and a diagonal of a square

At the heart of all the action of the lengths is a series of systems inscribed squares. Later, it served as the basis for harmonization of parts of the system architecture using a proportional scale based inscribed squares. (Tietz AA "Riddles of ancient drawing", 1978.).

So close to the topic:

All arithmetic sums up today's discipline in one (Geometry Geometry + + math), and begins with the figure of a one-dimensional space. This figure will always look like a stretch. Any length is limited by two points, called support (This arithmetic is very closely connected with the Vedas: in case of one-dimensional space there are just two units of space and antispace (ie, where there was space).

illustration author
illustration author

Further, to obtain a harmonious shape following - dimensional measurement, projected dimensional figure on its same length (figure above). And so on to infinity happens. With each increase in the dimension of space 1 - you need to make a projection of the figure of the previous measurements on a same length.

Animation from open sources
Animation from open sources

A figure provided by the 4th dimensions and can no longer be properly reflected in the three-dimensional world, but with imagination you can imagine))) Tesseract has 16 vertices, ie, 16 reference points. (Animation above). Displaying a cube in 4D - is actually carried out in the time shift as visually, we have to see it from the inside as well as from all relevant parties.

illustration author
illustration author

Practically the same triad and systems: this structure is endowed with three-dimensional measurement reference points - regular triangle. The projection of all its sides gives us the tetrahedron. In the fourth dimension - the projection is made in time (i.e., the rotation is performed). In such a figure 5 tops, t. E. 5 reference points (Animation below).

Animation from open sources
Animation from open sources

Repeat for the people who read the material again, that our ancestors according to open sources, there are three main types of multiplication: AT, ZHDY, Y.

"ON THE" - multiplication of two-dimensional;

"ZHDY" - volumetric, three-dimensional multiplication - is denoted by "X"

"YU" - space-time multiplication, denoted by "*".

Further, as promised, spread formula for computing the volumes of different shapes:

illustration author
illustration author

In the calculation of the triad - the first factor indicates the structure and the number of planes, the second - the number of rows in the triad. multiplication result is the number of "blocks". In the illustrated image 3 series respectively to each of the figures presented calculations.

illustration author
illustration author
illustration author
illustration author

According to general formulas possible miscalculation N-dimensional spaces. Noteworthy is the arithmetic that one act, written in one line - gives a person clearly understand what the figure of the measurement is calculated.

Further, according to the above formulas, composed table:

Thanks for attention!

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