THIS
Apr08 folder.
From crop circle connector website, a relationship is made between the one happened in uk2007 and the one in
They have essentially the same construction principles, the purpose may probably differ.
STEP 1:
The figure above is self explanatory. Likewise the remaining 17circles are drawn with their respective centers. Or rather the circle is rotated 18times at equal angles at a fixed point on the very circle.
The whole set anyway turns into the next figure below.
The red and blue concentric circles are drawn basing on points of intersections of the circles. Quite easy. The red concentric circles are the ones reflected in the crop circle.
Out of this comes the series which ends so easily containing 9 numbers, that including zero…
{0,1,1.9696155, 2.8793853, 3.7016664, 4.4114742, 4.9872416, 5.4114742, 5.6712819}
This is true for a number series(9 in tally) showing the diameters of the concentric circles resulting from intersection of the previous circle rotated 18 times, for a case of an 18 sided arrangement.
STEP 2a:
Involved cutting off the rest of the information-geometry in the blue concentric circles and shading alternately. This forms the
In this step, kind of thought of a relationship with the areas of these shaded pieces but it turns out this may involve a complexity of equations...to be done some other time when I am more sure that its not a research direction leading to insignificant facts.
STEP 2b:
The
Not different from the
FURTHER INSIGHTS INTO OTHER AREAS.
The one I called the easiest of all has brought forth many more geometric options out of it. Namely;
1. To do with geometric expansion.
More issues I had taken for granted are being straightened out one by one. For example, the nature of expansions has to be explained explicitly as the methods of doing it is not one. In one method as employed in the revelatorium on the cubit, the expansion or contraction is endless as it involves adding on more levels on top of the existing ones. Whereas a second expansion involving the use of one particular level ends. This is the kind that would be similar to these two crop circles.
2. To do with Number relationships
Do these numbers have anything in them?
The only problem we may have here is that the numbers are based on a base-ten counting which gives so many endless decimal points…take a case of the PI, the golden number, e.t.c My original thoughts of an 18sided star derived from an 18-sided polygon is a counting to the base 18 and not to the base 10. Oh well, since number 18 is more than number 10, then we have to deal with the numbers as they are. However, when I changed these numbers to be based to the base 3 (it being the least multiple of 18) or to the base 6( it being the substance component of Omega in the Alpha&Omega cube and sphere), this is what turned out [to come later]
3. The concentric blue and red circles
The concentric pattern kind of rings a bell but still fuzzy. Talk of a stone dropped in water.
4. The full complete pattern would look as below.
The red part is the one in crop circles in question above where the blue component is the unrevealed part in the crop circles. It’s eye pleasing, isn’t it?
5. Curvature Aspect
Whenever I look at the second diagram in step 1, I feel a sense of curvature as in a bowl kind of shape coming in. The sense is the one I use in trying to introduce to 3D- component in the figure. For example, a net in curvature. I’ve done this before with a particular shape again arising from crop circle inspires. But this later.
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