free hit counters

The First Star

Chapter 4.

THE FIRST STAR

(STAR-SHAPED HEXAGONAL POLYGON)

It seems as if the greatest problem for every researcher of ancient and unknown things is the outset of the research, the discovery and follow-up of the thread or trail that will subsequently surely lead to something more relevant than initially considered, and finding something new (though it be in geometry) will in addition to our wonderment, incite the sudden endeavor to comprehend it at once, to see it all, to learn it all. That is why it is sometimes hard to discover the necessary calm for a piece-by-piece analysis, thereby putting aside our human tendency to possess knowledge of something at once. Becoming cognizant of something also entails surrendering to an invisible guide who certainly has a good layout of the “mosaic”. That “mosaic” will at one time suffice to create an “exact” picture in its true and relevant form. What are we talking about? It’s about our human decency that wishes to give the answers to “everything” or in other words it’s about human selfishness, vanity, neglecting the fact that we are but a link in a chain and that after us others will certainly follow, generations that will on the basis of data that “we amass” be able to further change the perceptions of human beings for the better regardless of the criticisms of passive bystanders or of those who are satisfied with the existing situation. If the latter prevailed our world of human beings would stagnate and would not go in step with elemental nature (which we can freely observe if we haven’t already). We human beings are not the entity that changes the world (the universe). It changes of itself and this is confirmed by the life of plants (new ones originate and some others expire) and the world of animals (changes of purpose, appearance, behavior). Finally, we all know that our planet, regardless of seemingly following the same celestial orbit, ii does not follow the same path as the preceding ones. Thus, differences exist, and it seems that the entire system orbits through variations that creates a general variance because there are no repetitions (in spite of what the Esoteric are trying to prove and foresee). For as Christ said: “Nobody can know the day or hour until the end of time or until time is fulfilled”, (or in other words, until the cycle rounds off). And then begins the start of “some other path of the circle”. Therefore, let’s go back to the beginning of my remark that helps me to be persistent on this path of mine, because to be aware of my (and our) human flaws, is one half of achieving success. So, I can now start with series of data (whether they make sense, or not) without looking for any “award”, to make it easier for others who will come after me (to the extent of my capability and the knowledge given to me).

* * *

The radius of a circle divided by circles of same radius is a partition into six sections. The divisional circles bring forth intersections – some other radius.

* * *

That radius partitions the circle starting from the peak pole producing a triangle (three poles – each second one) and thereafter from the subtended pole in the same way. The two spherical triangles produce a six-sided spherical star-shaped polygon (the first star) inside the basic circle.

* * *

The star-shaped polygon of the basic circle – its radii have their own radiuses – circumscribe them.

* * *

With the radius of a circle, and from the 6 poles of the basic circle, we circumscribe the circles

* * *

We have produced series of new intersections, both within and outside of the basic circle. Let’s analyze some, starting with the internal ones – close to the center.

* * *

Start the partitioning from the peak pole until we return to it. The arc of the basic circle is now divided into 24 parts.

* * *

The spherical star polygon has its spherical hexagon and we draw its inscribed circle –a new radius is acquired.

* * *

This radius divides the arc of the basic circle into 42 sections (6 x 7). Plotted in full circles.

* * *

Let’s go back to the first circle and from the 6 poles of the basic circle we circumscribe the circles of the inscribed star-shaped hexagon. 

* * *

That radius divides the basic circle (starting from the peak pole) into 14 equal parts (the division only “utilizes” the peak pole and its subtended pole). The presentation is just limited to the basic circle.

* * *

This prompts us to infix spans into the compass – peak pole – subtended intersections – internal alongside of subtended pole. Another radius.

* * *

That radius produces the spherical circumscribed pentagon only from the peak pole (it is logical since it occurs from all poles). 

* * *

Now let’s go back to the external intersections of the (circumscribed) circles of the star-shaped six-sided polygon.

* * *

The radius of these intersections divides arc of the basic circle into 15 sections (3 x 5).

* * *

Now we once again take the radius of the hexagon’s divisional intersections but this time from the star-shape intersections (we know that this radius divides the basic circle into 2 x 3 and produces the internal spherical star-shaped polygon (but from the internal intersections of the star polygon?)

* * *

With this radius we do not divide the arc of the basic circle but instead we connect its six poles – the hexagonal, spherically circumscribed polygon of the basic circle.

* * *

If we prefer not to limit ourselves to the basic circle and extend the arcs and take in the intersections – the external ones – a new radius is acquired.

* * *

That radius divides the basic circle into 18 equal sections (thus, one of the trisection codes). We limited this to presentation on the arc of the basic circle, without analyzing the “product”.  

* * *

Let’s go back a little. First radius – divisional intersections of same radius as the basic circle’s – the first star-shaped polygon – with semicircles produces intersections in the direction of the first intersections – external circles.

* * *

Radius of these intersections divides the basic circle into 12 sections (with drawing semicircles). Series of new intersections emerge both outside and inside the basic circle.

* * *

With the same radius we circumscribe semicircles from the newly produced intersections. Nothing changes on the arc of the basic circle and only new intersections emerge. That would be the system of the first external star-shaped product.

* * *

Again, if we circumscribe from the 12 newly produced poles the first externally divided basic circle, we acquire new intersections from two spherical star-shaped six-sided polygons. No changes occur on the circle, only outside of it and within it.

* * *

And when we link the divisions from the 12 poles of radiuses even though nothing changes on the circle, the changes are within and outside of the circle. There would be a change if we were to add a third radius, the radius of the basic circle from all 23 poles, respectively.

That is how we acquired three various systems from two external radiuses which we can now in truncated fullness analyze each one separately, or even indulge in the “products” of these analyses. Let’s clarify what is meant by a “product”. Already on occasion of dividing the basic circle with circles of the same radius we have acquired a “product”. Divisional circles cross – form intersections. Thus, the product is an intersection when we adhere to the pattern of ancient geometry’s rules – full circle plotting. And that product then produces nrw products – multiplies them. There, new intersections external and internal to the circle. They can be analyzed one by one – targeted singly or in tandem with the already existing. Therefore, each product brings forth a product of new products or results. So everything is possible in ancient geometry is one adheres to its rules of plotting – with full circles – but unfortunately each division due to space limitations obliges us to rely on incomplete presentations with semicircles, but in such cases internal divisions can be of help because it must be “as is outside, so is inside”.

Therefore a tremendous assignment faces us already in the spherical “angelic” geometry and a similar task awaits us when we add to this the “human” rectilinear geometry. But as I mentioned in the beginning of this chapter, I will do whatever is within my capabilities and the knowledge given to me, and whar I cannot bring to a close, one day someone from some other generation will do so – now or after us.

* * * * * *

3 Responses to “The First Star”

  1. Coda Bun says:

    I wonder if you’ve ever heard about the hexagons on Saturn’s poles. They currently remain a mystery. I wonder what your geometric diagrams imply if you apply them to the laws of motion, gravity, and nature. I’m pasting a link to my post below, let me know if you have any thoughts. I also wonder if you’d let me use a few of your diagrams in a post I’m working on expanding on the one below. I would of course give you full credit, and attach links to your page, which is enlightening by the way, I like your style.

    http://isanybodyoutthereblog.blogspot.com/2012/09/perplexagon.html

  2. admin says:

    You can use my diagrams. I’ll contact you soon via email.

  3. Eva says:

    Hello,

    I just find your page in my search for circle divided by 24, I find your work fascinating! I am trying to recreate a pattern which I want to use in my jewellery making. I find out that the best way is to start with dividing the circle in 24 equal parts. It is a symbol of my church and I find it quite difficult to draw it in a way that it looks right. I think you would be the best person to ask about these things… Its the symbol of the unification church… Let me know what you think and I will have a scroll through your fascinating work meanwhile!

Leave a Reply

Powered by WordPress | Designed by: suv | Thanks to trucks, infiniti suv and toyota suv