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The American five-sided pyramid

CHAPTER 16

THE AMERICAN FIVE-SIDED PYRAMID

It is known among the readers of these pages that, for understandable reasons, I don’t comment on the works of others since I simply adhere to my own course of action “guided” by the spirit of the ancient principle of geometry made reference to in my first book. However, something attracted me to make an exception. Namely, sometime at the beginning of this year I received a peculiar e-mail. An American gentleman asked me to take a look at his sketch (Figure no.1: two equilateral triangles of which he could not make out what they meant, and each of which had their own heights that converged). At first I got angry because I thought somebody was poking fun at me, as people do sometimes since life on this course of action occasionally is far from simple and more like taking the “Way of the Cross”. I even got angrier as I delineated a couple of line segments (Figure no.2), since I had the impression that someone was trying to “test” me because at first sight the sketch resembled a pentagon (a five-sided object) observed from “higher up”. All sorts of thoughts ran through my mind. I didn’t know who this man was or wherefrom. So I ask him for this information and then I finally understood. He was a regular businessman and family man, but a person whose research is a passion and what’s more, his whole family (in contrast to mine) participates in his research. For seventeen years he has “loitered away” his free time in the field. doing research work of this “highly unusual” story of triangles with the help of modern technology, but also guided by the same spirit that is apparently only possible “across the pond” – a true-blue American, a descendant of the pioneers who discovered that continent realizing that in many ways it still remains undiscovered regardless of how strange this may seem to us (old Europeans), because we think we already “know everything”. From his politely given references and whenever faced with anything of a clandestine nature I ask, as usual, the One and Only who from his hideout always replicates publicly (Christ). Thus, believing Him, I now got down to work in search of a purely geometrical solution (although I know not where it is) and even if the answer turns out to be conceptualized other than on this website. Thus I “see” the need to set about this “research” by applying the principles of ancient geometry, starting with the regular construction of the equilateral triangle, its height and half of it, since the other equilateral triangle starts from the middle of the first triangle’s height, passing through the angle of its baseline with its own baseline. That is why I’ve decided to release these pages, but for a number of reasons I will protect the researcher’s name and location. The procedure will be step-by-step, only with a compass and unmarked straightedge, since we are dealing with an ancient 5-sided “object” on American soil or perhaps the first such object in the history of our civilization, not taking into account the “unusual shape” of the pictures from Mars.

* * *

Figure no.1
Standing in front of this drawing one wonders whether it is the work of a child playing with triangular forms; but when these forms are in nature, is that nature at play (albeit too ideal) because the triangles associate with many things, but do not associate to what they are? Thus a man is bound to ask himself, why all this effort, time, and certainly money, only to acquire dots, points at peaks of triangles, halfway of the height of the first triangle and their “meeting point”… what “guides” a family man and a man of business, a nicely situated American citizen to be attracted to all this restlessness when he could have led a peaceful and carefree life?

* * *

Figure no,2
So with line segments I connect the peaks and meeting points of the heights, and join the line segment of the center to the first triangle’s height and its baseline vertex. And again it could be this or that, but it has a five-sided shape and its vertex is the center of the height of the first triangle. Therefore, it is time to start from the beginning in conformity with the “components of the object”, in the manner of ancient geometry only with a compass and unmarked straightedge.

* * *

Universal pattern. Straight line. The straight line’s center. The circle of its radius (whatsoever). Baseline of triangle (2r).

* * *

From both endpoints of the baseline and with same radius we divide the first circle.

* * *

Equilateral triangle.

* * *

The height and halfway point of the height (all this by simply drawing in the manner of ancient geometry).

* * *

We take the straight line that passes through the center of the height and baseline angle of the triangle. Radius is the same from the halfway point of the height of first radius in the direction of the peak of the baseline angle. Baseline center of the other triangle.

* * *

Same radius as in the case of the first triangle. We circumscribe a circle, and divide it with divisional circles of same radius.

* * *

With such a division we acquire the other equilateral triangle.

* * *

With its height, its halfway point and converging-point of the heights of both triangles (similar depiction as in Fig. no.1), but depicted in the manner of ancient geometry – and now the analysis follows.

* * *

We take the halfway height of the first triangle as the center. From the center we circumscribe its endpoint part, the vertices of the other triangle.

* * *

Our drawing is with extended straight lines of all the rectilinear patterns. Thus we acquired the peak pole of the circle. Into compass we enter the span of the peak pole of the other equilateral triangle.

* * *

That radius divides the circle into five equal parts (semicircles) – pentagon – spherical – star-shaped – rectilinear – circumscribed pentagon.

* * *

With line segments we connect the vertices of the quintuple circle (the extended straight lines divide the diametric sides so that one could say into 10 parts but we will follow 5, five isosceles triangles.  Layout (a five-sided object).

* * *

We connect the peak pole with the two bottom ones.

* * *

We connect all of them in this way Sve. – A five-sided star-shaped rectilinear polygon.

* * *

We go one step further. The radius of the converged heights up to the height of the other equilateral triangle. This is the larger radius. With this radius we circumscribe a circle from the center of the height of the first triangle.

* * *

The radius from the peak pole of the circumscribed circle of the pentagon divides it into 4 parts.

* * *

Thus we have also acquired the quadrangle of a pentagonal circle.

* * *

With this radius we divide the pentagonal circle from all five poles – into 20 parts. At this point we should pause to think so as not to go too far in our analysis – even if geometrically reasonable but not in reality. And this reality is located on the soil of North America or in its soil – therefore, analyzing is need along with a realistic step by step procedure.

* * * *

AFTERWORD

Since I’ve received information that nothing prominently stands out, except for the points in the first pictures and since the “researcher” has a feeling that they could be hiding something, and the points are of stone (of megalithic size) and not a part of the regional stratum but were “brought here from somewhere”. Thus the assumption that the “object” could be under the surface, and since little is known about the ancientness of the North American continent it could be that the object is older than the four-sided pyramid. I dismissed my second assumption (that somebody attempted and marked the location for a future building construction), because it would be crazy to drag megaliths from who-knows-where just to serve as a marker. As for the third assumption, I’d rather not mention it for the time being, because I’m already somewhat sick of putting up with “sticks and stones” assaults against me. However it would be wise for our “researcher” to mobilize a number of experts (geologists, etc.), and America has plenty of them, because he might now have a more complete mental picture for a pioneering research endeavor, but in the procedure he should avert the mainstream media since they could ruin the site and significance of the undertaking with their aggressive sensationalism, thereby prevent a proper approach and acquirement of new knowledge in revealing  the history of us earthlings or perhaps of those, as  the Bible says, “who visited our Earth!”

As for the height of such an “object”, at any rate it is lower than four-sided pyramidal objects (36°). It would be the first time in history (as far as we know) that a five-sided pyramidal object exists on our planet. And this alone would suffice to grasp the pioneering spirit of a man who solitarily, without the help of institutions, researched and discovered, in accordance with the proverb “He who seeks, will find”. Every new time period is a step further for future generations. And here I would like to stop, since my own “journey into ancient geometry” – the fourth analysis of the “flower of life”, awaits me, and frankly speaking I am somewhat “exhausted”, unfortunately for a number of reasons among them financial. So if I slow down, I hope the generations will not hold it against me…

Hr. Rijeka, Feb.19, 2012.
Author: Tomo Periša
Translator: Slobodan (Fred) Drenovac
(e-mail: slobodan.drenovac@ri.t-com.hr)

One Response to “The American five-sided pyramid”

  1. Ray S says:

    Hi Tomo,
    Yes, they are interesting are they not! What do you think the golden mean(1.618)would be for this five sided pyramid? Actually if you add in the bottom it really is a six sided pyramid. So, if you say have a pyramid that has five equal sides (not counting the bottom) what would be?
    10m x 1.618= 16.18? I don’t think so. What do you think it comes in at?
    Better yet, if you build one, what do you think you could use it for? I really don’t see anyone building this type do you? Please let me know if you find one.
    Thanks,
    Ray

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