THX.
HERE'S A VERY INTERESTING DOC for math folks . . . and folks interested in crop formations etc. . . . relative to the fallen angels and/or blokes sitting in front of screens of advanced . . . systems as some FREEPERS assert . . . Not sure if the graphics will be hot linkable or not. They are virtually a must to view at the link, if they don't. This is just an excerpt. The much longer article is at the link.
http://www.dprins.demon.nl/convergence/octacrop.html
Incredible New Crop Circle
Shows 3-D Hyperdimensional Geometry
as Described in Convergence
What we see in the above diagram is completely incredible. For what appears to be the first time, we have an image depicting an "unwrapped" octahedron in a "Crop circle" of truly epic size, now more appropriately called a "crop formation." If any of us decide to trace out this pattern on paper, cut it out and fold the edges as shown, we will indeed have a scale model of an octahedron. The numbered triangles in the crop circle diagram all fit together as shown on the three-dimensional model to the right.
(David recognized this right away from having built these models himself out of two-dimensional thin cardboard cutouts. The very first "main" fold is between triangles 2 and 6, and then the other sides will wrap around this and assemble into the octahedron as shown.)
This exciting new formation, quite gigantic at over 250 feet in width, lends dramatic support to the idea that the Circlemakers are attempting to show us these "hyperdimensional geometries" at work. This is indeed the next step in an ongoing demonstration of the geometry of "hyperdimensional physics" as described in Convergence and other sources including Richard Hoagland's Enterprise Mission website and Monuments of Mars text.
FOUNDATIONS We have all watched the crop circle phenomenon develop over time, and seen how the formations have continued to become more and more incredible each year. The first major "breakthrough" formation that departed from the original patterns was Barbury Castle 1991, which looked as follows:
If we look at the bottom right of this figure, we can see that it illustrates the top half of an octahedron or pyramid shape, defined with a circular spiral. It is believed by this author and others that the Barbury formation was a key "Rosetta Stone" to the understanding of the geometric nature of the dimensions in the universe. The bottom left circle would be the first dimension, symbolizing a point in the middle of a void. The top circle would represent this point going into motion, spreading out in a spiraling, geometric fashion from its center. This is the second dimension, the first time that motion happens in an otherwise static medium, forming a flat surface. Lastly, the bottom right, or the third shape, represents the first time that this spiraling energy takes on its shape as a three-dimensional entity. If we look at the picture below, we can indeed see how this spiral completely describes the shape of a pyramid, or the top half of an octahedron.
This diagram is very important for another reason, in that it attempts to show us how the shapes themselves are formulated from spiraling energetic sources. By showing the interplay of the curved and straight line, we see how the "underlying" structure of the formation emerges from an originating energy line that travels in a spiraling motion - the true "superstrings" of Light that form all things in the universe. THE FOURTH DIMENSION AND BEYOND Then, of course, the fourth geometric shape in the center of the Barbury Castle pictogram is that of the tetrahedron or fourth-dimensional energy. This shows how the next level of geometry in the "octave" is satisfied. Richard Hoagland and the Enterprise Mission team have gone to great lengths to show how this main central object is meant to indicate a circumscribed tetrahedron, or a tetrahedron within a sphere. The three large circles in the pictogram actually map out the necessary angles to prove that a tetrahedron in a sphere is precisely what "they" are trying to show us.
(This material is covered in much greater detail in Chapter 14 of Convergence as well as on the Enterprise Mission website, www.enterprisemission.com.) More recently, we also have seen the "triple Julia set," an amazing crop circle that attempts to show a similar geometric / spiraling expansion occurring for the fourth-dimensional shape of the tetrahedron. The next picture illustrates exactly how this appears. Remember that all the straight lines were added later: what was originally present in the crops was simply the spiral-shaped circular formations as given. Just as we did with the bottom right of the Barbury Castle formation, this crop circle required us to add the straight lines in ourselves later on.
As described in Convergence, we can visualize the central circle in the above diagram as representing the spherical, energetic center of the tetrahedron, and each of the spiral arms radiating outwards from this central sphere shape. (You need to imagine a fourth spiral for the back corner of the tetrahedron, not printed in the crop diagram in order to keep it simpler and more aesthetically pleasing.) We are also reminded of the work of Stan Tenen, who has shown the world that a fundamental connection can be made between the letters of the Hebrew alphabet and a tetrahedron. Specifically, if you put a spiral inside of the tetrahedron, the Hebrew alphabet comes from the varieties of reflections that can be cast from this arrangement onto a flat surface. This is yet another layer of validation to show us that "someone" already knew all about this system of physics long ago. And so, although we have seen this geometry expressed for the tetrahedron and possibly other higher-level shapes before, we have not yet seen it three-dimensionally described for the octahedron - until now! A GEOMETRIC OCTAVE OF DIMENSIONS Wilcock's main contribution to the understanding of this particular area of "hyperdimensional physics" is his correlation of the musical / color octave with the geometric octave outlined in the ancient Hindu Vedic scriptures, tying this into a cosmology of the higher dimensions. The reason why this is so important to us is that this octave represents the fundamental structure and organizing principle of the higher dimensions. Wilcock and others have learned that when working in advanced-level psychic trance states, one can visually "see" one of these shapes and know instantly what dimensional frequency they are working within at any time. For a practicing intuitive counselor / deep trance psychic who knows the pros and cons of each dimensional level, knowing the meaning of the geometry that you are seeing can be very helpful. Again, we remind the reader that the pulsating, spherical "consciousness unit" unifies together all of the dimensional frequencies in the Creation. We do indeed catch a glimpse of the hidden, pulsating geometric organization to our octave system by studying these units, and the crop circles lead the way. And so, in order to show the full, interrelated progression of the "consciousness unit," we will reprint the "shape table" of dimensions from Convergence, with their colors, sound frequencies and geometric counterparts.
(Remember that the numbers in the second column represent the vibrations in cycles per second for each note in the octave.)
SunkenCiv
ping.