::. Home Page ::. Bethe Hagens Articles ::.


by Bethe Hagens


Division of Humanities and Social Sciences Governors State University
. University Park . Illinois 60466.


Several important avenues of speculation about the "planetary grid" have opened up over the last year / and we would like to share them with you. Correspondence has been somewhat overwhelming, and we appreciate your patience and understanding if you have not received the prompt and thoughtful reply we wish could be provided.

We have spent much of the past 18 months working with American Indian geometry. Several texts have recently come out on the topic-- most of them concentrating on angles, right triangles, and "grids" in site plans. Many relate site layouts to astronomy - not an unexpected proposition.

Owing to our interest in hand-held artifacts (e.g. the "stone bolas" from northern Scotland which portray the Platonic solids; "Venus figurines" - which will be detailed in a forthcoming issue of The Ley Hunter , we have been particularly interested in two hand-sized artifacts.

Illustration 1 (Left) Computer-generated drawing of lines inscribed on Goodman's "Flagstaff Stone." (Right) Engraved stone from the "Woodhenge" site in Clay County, Missouri.

The Clay County Stone was unearthed several years ago at the Missouri "Woodhenge" site; and the "Flagstaff Stone" was recovered by an archaeological team supervised by Jeffrey Goodman and Alan Bryan in 1981. We have had no contact with Missouri researchers, though we have learned a date of approxi­ mately 1000 B.C. has been assigned to the stone - based upon reliable tree-ring dating of contextual wood objects.

The dating of the Flagstaff Stone is more difficult, but par­ticularly intriguing since it was recovered from 23 feet below the earth's surface at Goodman's Flagstaff , Arizona dig site. Virginia Steen-Mclntyre, Ph.D. has done extensive analysis of the grooved lines in the stone. Dr. Steen-Mclntyre is a tephro-chronologist, and perhaps the most reputable geological dating authority in this subfield in the United States . It is her opinion that a clay rind that formed over the lines inscribed on the stone could be reliably dated at 75,000 B.P. and might plausibly be as old at 250,000 B.P. Perhaps her most radical conclusion was that the stone fragment appeared to have been fired, and that it should be analyzed by a specialist in ceramics.

At any rate, as the illustrations reveal, both stones are con­figured in significantly different ways - but reveal identical angles (see lllus. 2). In addition, at least two proportions that have become the foundation of much art/philosophy over the past 2500 years are clearly represented in both stones (see lllus. 3).

Over our eighteen months of collaboration with Jeffrey Goodman, we have been most preoccupied with the geometric decoding of his stone (discoveries such as those in the illustrations above ) and with its possible relationship to the geometry of the " planet­ary grid". Using rigorous computer modeling and analysis, researchers on Goodman's end were able to determine with precision the angles of the stone (table below), We, in turn, found a re­markable correlation between these ten angles and ten that occur around each of our UVG "diamond" centers - as described in our article The Planetary Grid: A New Synthesis. (See lllus. 4)

Angles Compared
Flagstaff Stone UVG Diamond Center Difference
107.44 106.95 0.49 degree
98.04 97.76 0.28
25.47 24.71 0.76
41.50 43.05 1.55
46.53 46.95 0.42
73.64 73.05 0.59
17.87 19.64 1.77
56.77 55.73 1.04
72.56 73.05 0.49
33.79 33.49 0.30

Illustration 2 (Below) Details of Flagstaff Stone (Below - top set) and Clay County Stone (Below - bottom set) reveal similar angles in both artifacts that compare to those of the UVG Diamond Center (see Chart above).

Illustration 3 (Below - four drawings) Both the Flagstaff Stone and the Clay County Stone feature proportions of phi ( 1: .618) and the square root of 2 (1: 1.414). Each stone also depicts a prominent 108° angle .

Illustration 4 (Below) The geometry of our UVG (Unified Vector Geometry) sphere of the world grid is taken from R. Buckminster Fuller's Synergetics Two. The "diamond centers" (right) represent this geometry at grid intersections such as Gizeh and in the southwest United States . The "Flagstaff Stone" was found approximately 230 miles from such an intersection. The ten angles highlighted in Illustration 2 can be found in the geometry of "diamond centers."

Working with Bart Jordan, a specialist in the geometric decoding of so-called primitive art forms, Goodman determined that the angles of the stone could be used to form triangles whose sides consistently revealed "cosmic counts" - such things as the number of days in the synodic periods of planets, number of days in a lunar year, number of days in human gestation, and so forth. Using simple "angle-side-angle" and "side-angle-side" equations, each triangle revealed sides proportionally equivalent to three "cosmic counts" (see Illustration 5 ). This whole process, and the statistical probability of its having occured by chance, is currently being detailed in a book by Goodman.

Illustration 5 (Above) "Cosmic counts" include days in the synodic periods of planets (Mars - 780, Venus - 584, Jupiter - 399, Saturn - 378, Mercury - 116, etc.) as well as a common figure for human gestation, 280 days. The triangulations are, Jordan says, accurate to a statistical probability of 1/10,000.


Our discoveries related to the stone have been in the direction of mapping. Initially, we discovered that the same "cosmic counts" existed in the UVG triangle that is the basis of our "planetary grid" (see Illustration 6 ) . Using Buckminster Fuller's geometry in Synergetics Two, we found that various of the angles formed by great circles intersecting within the UVG triangle generated smaller triangles whose proportional side lengths were equivalent in distance to the "cosmic counts" Goodman had been able to generate with the Flagstaff Stone. In fact, the lengths predicted by the Stone were the average between Fuller's planar and spherical calculations.

Illustration 6 A cursory analysis of proportional distances within the UVG Basic Triangle reveals a number of "cosmic counts".

One of our most exciting discoveries was that, in miles, the sides of the basic UVG triangle could reasonably be proposed to be "cosmic counts" - 25,920 miles, 2160 miles, and 1440 miles (see Illustration 7 which includes numerological curiosities associated with these counts).

In short, the Stone appeared to map both time and space in a kind of reconciled geometry. With this in mind, we began to look for indications that the Flagstaff Stone geometry had been a kind of template for mapping or site planning of some sort - perhaps a kind that would integrate the heavenly bodies with architecture and with the human spirits that occupied those structures.

Illustration 7 (Below) Curious Numerology of the Planetary Grid. Every line of the planetary grid is a great circle (equator), and the size and geometry of every UVG Basic Triangle (there are 120) is identical. Each Basic Triangle has side lengths measuring 1440, 2160, and 2592 miles. The Pythagorean meanings assigned to the sides of the Basic Triangle reflect the geometric figures within the UVG sphere that create them. (See "The Planetary Grid: A New Synthesis")

The most dramatic early example that we discovered was Chichen Itza , a Maya site in the Yucatan peninsula of Mexico .

The discoveries both on our end and Goodman's as well, in regard to Chichen Itza , have been fast-coming and paradigm-shattering. What is presented here is merely the tip of an ancient way of thinking that we feel we may have begun to see encoded in site plans.

Our method of inquiry was largely graphic, working with acetate overlays of the Flagstaff Stone and various plan views of ancient sites. We had known that the southernmost side of the famous Castillo at Chichen Itza formed a 108° angle with a true North-South meridian. We happened to place an acetate of the stone - turned upside down in negative-image position - on to the Chichen Itza map (see Illustration 8 ). The astonishing result was that the stone's engraved lines bore a striking resemblance to the site plan, even showing a link between the older Caracol portion of the site with the newer Castillo section.

One of the more puzzling aspects of this discovery has been that the geometry of the Stone seems to work at any scale. If a tiny acetate is placed on the site, in either positive or negative image position, it maps the buildings and gaps in the walls. Goodman's team of researchers have discovered that the lines commonly cut buildings into the proportions of either phi (1: .618), the square root of two ( 1:1.414 ), or thirds. We have literally hundreds of positions and sizes of stone acetates mapped.


Illustration 8 (Below) Site plan of Chichen Itza overlaid with Flagstaff Stone.


In addition, we discovered that the ten angles of the Flagstaff Stone, Clay County Stone, and UVG Diamond Center could all be found in the site plan of the Caracol Observatory (see Illustration 9 ). It should be noted that both the Caracol and the Castillo (see Illustration 10 ) have both been extensively restored, and we cannot be sure of the precise angles used in original construction. We are simply hopeful that these apparent geometric coincidences will lead to the discovery of an underlying formal system.

Illustration 9 (Below) In foreground, the Caracol "observatory" at the Maya site of Chichen Itza . In the back to the left, the pyramid-shaped "Castillo."

Illustration 10 (Above) ( Not precisely drawn!) The base plan with tower at the Caracol reveals angles using inner and outer wall gaps.

Many of our geometric observations for the Chichen Itza site have yet to be verified with meticulously accurate site surveys. Still, it appears that the "template" may transfer in some rather odd ways. For example, we noticed that the diagonal of the squarish base of the Caracol forms a 60 ° angle with the north-south meridian. By overlaying lines, at this angle or N-S E-W, we were able to create the pattern shown in Illustration 10 . We leave it to the reader to notice site regularities which appear to emerge - and ask that you consider the visual similarity to the reed Polynesian star map ( Illustration 11 ).

Illustration 11 (Left) Site plan of Chichen Itza overlaid with N-S, E-W, and 60° angles. (Right, top) Polynesian reed navigational map used in conjunction with stars and ocean observations.

In addition, we played with the pattern of the Flagstaff Stone by superimposing all the triangulations shown in Illustration 5 . We discovered that a line assigned a proportional length in one triangulation has that same actual length in any of the "cosmic count" triangulations. The pattern shown below ( Illustration 12 ) reveals all triangulations based on these counts and provides a clue as to the original size of the stone. We have laid this pattern on the Chichen Itza site, with even more interesting results having to do with building orientation, wall cuts, and proportional division. A related, and somewhat serendipitous, discovery is shown below as Illustration 13 . The elaborate triangulation overlay bears a marked similarity to the gear positioning of the so-called Greek astronomical "computer" recovered from a sunken ship in the Mediterranean and dated several years B.C.

Illustration 12 (Above) The Flagstaff Stone with all "cosmic count" triangulations overlaid.

Illustration 13 (Above) "Greek astronomical computer" dated to several years BC shows apparent correspondences to triangulations of the Flagstaff Stone.

Goodman and his associates in Tucson have moved forward from our very general observations (such as these). Most striking is that they believe the stone is a key to decoding the Aztec Calendar Stone - using again the proportions of phi , square root of two, and division by three. In his current book, Goodman is detailing how the stone reiterates Bodes' law of planetary positioning - and how the Aztec Calendar Stone may reveal the position of a tenth planet in an orbit perpendicular to Earth's. He believes a similar analysis may be applied to Stonehenge .

We have plans for detailed analysis of Chichen Itza primarily because it appears to have so many applications to planetary grid theory. These run from dowsing to the possibility of globally-oriented site planning. For instance, it appears that the Castillo - built relatively late in the history of the site - is oriented to the geometry of the grid (see Illustration 14 ). The whole site is located on a grid line running between Point 17 in northern Mexico and Point 36 in the Amazon Basin (numbers used by us and originally designated by Christopher Bird in his article "The Planetary Grid").

Illustration 14 (Below) Diagonals drawn through the corners of the Castillo can possibly be extended to reach major Planetary Grid points as shown below.


Whether or not the builders of the Chichen Itza site were cognizant of a world grid is certainly only speculation. It may be that they were tuning in to local conditions that were part of a global (or universal) system. We feel that there is a strong possibility that Uxmal and Teotihuacan pyramids are similarly oriented, with respect to the particular latitude/ longitude coordinates and relevant nearby grid lines. If nothing else, this has given us a framework for analyzing sites that may lead to regularities in building orientation.

Another intriguing possibility for site analysis has arisen as a result of work done by Goodman's associate Christopher Powell. Powell discovered a 66.6 metre "grid" that performed geometric "miracles" when superimposed on the Chichen Itza site - having to do with proportional division of site features. This is being detailed in Goodman's current book. It should be emphasized that they do not share an interest in planetary grid research. For this reason, it was all the more astonishing that the bounds of their grid for the site plan was a diamond-vesica piscis (see Illustration 15 ). This diamond is a planar version of the UVG Diamond , and one of its sides points due north - just as does the diamond of the UVG grid which contains the Chichen Itza site! (See Illustration 16 ) We are now speculating that the small diamond of the site may be somehow equivalent to the large diamond of the planetary grid. If this turns out to be the case, we may be able to investigate where different elements of the site would be "metaphorically" on the large diamond - and where on the UVG diamond other important sites might fall. The amount of work to be done is immense, but we feel as if we are progressing in a "testable" direction.

Illustration 15 (Below) Chichen Itza site exhibits an elaborate system of ways, walls, and gaps in those walls. Overlaid grid pattern shows a number of correspondences with those features-and divides buildings in proportions of phi, square root of two and three, and thirds.

Illustration 16 (Below) The UVG diaqmond face (shown here on our rhombic triacontahedron model of EarthStar) which contains the site of Chicen Itza is oriented in exactly the same wasy as the diamond site-grid proposed by Goodman and Powell.

"Hard proof" of the existence of the Planetary Grid remains elusive, though we would like to thank Joe R. Parr of Ventura , California for his efforts in this regard. He has attempted to measure various anomalies that might be present in areas mapped as "on grid lines'' in southern California, but he so far feels his results have been inconclusive.

We find ourselves facing a number of theoretical and practical questions:

1. Is there a typology of grid lines, i.e., do the edges of different solids (or the three additional sets of great circles proposed by R. Buckminster Fuller) manifest different characteristic properties?

2.   Are there characteristics associated with the three "major" types of grid intersection (12 centers of dodecahedron faces; 20 centers of icosahedron faces; and 30 "diamond" centers where dodecahedron and icosahedron edges cross)?

3. What counts as "on" a grid line?

4.   Is human energy part of the grid system?

5.   Can/should the grid be publicly discussed as a planning model for global environmental/technological cooperation?

6.   Is the concept of the grid useful as a mnemonic model that will empower individuals who have learned about it?

These have not been easy to answer, especially since it is so easy to be self-serving in this regard. Here is our thinking at the present time.

(1) Tentatively, we believe "yes". The Greeks assigned meanings to each of the solids which make up the grid (tetrahedron= fire; cube=earth; octahedron=air; icosahedron=water; and dodecahedron=life ), and we believe that these meanings may have been assigned in conjunction with real geometry (earth-measuring). A few examples: dodecahedron edges form the mid- Atlantic ridge, a site which scientists are currently studying in view of emerging life forms that do not depend upon light energy in the usual sense; most icosahedron corners which are in water are centers of ocean currents; octahedron edges form the entire system of 120 UVG basic triangles; the richest agricultural and oil producing region in Canada is at Point 8 - an intersection of life, air, fire, and earth edges as well as great circles proposed by Fuller.

(2) We believe "yes" on this question also. At least in the places we have been able to document, centers of dodecahedron faces (a.k.a. Ivan Sanderson's vile vortices) do seem to be associated with so-called time warps and magnetic anomalies. We have labelled them "subduction zones" somewhat intuitively feeling that they suck energy - perhaps even human emotional energy.

We have labelled areas such as Point 8 in Alberta and Point 2 near Chernobyl "expansion" zones. These areas appear to be us to be bountiful in either food, minerals, or other energies needed by lifeforms . (These are centers of icosahedron faces.)

Finally, we think of the dodecahedron/icosahedron edge intersections (UVG diamond centers) as communication zones--with high potential for spiritual interaction. Areas such as Point 1 at the Great Pyramid, Point 11 in northern Scotland , Point 17 in northern Mexico are among the few we have studied in any depth. We actually visited Point 17 and discovered an enormous array of satellite and other communications dishes and antennae. Within the past year, the Australian Monash Review reported the discovery of a huge electrical anomaly near Point 44 - a diamond center. The following is quoted directly from Science Frontiers , published by William Corliss ( Box 107 , Glen Arm, MD 21057):

"Geophysicists from the Department of Earth Sciences and the Bureau of Mineral Resources have discovered part of a huge underground circuit near Broken Hill. . .which contains electrical currents of more than a million amps. . .

The circuit was found using a sensor which detects fluctuating fields in the earth's crust. These are created in response to events, such as thunderstorms and the movement of dissolved salts in artesian water."

We feel that there is the potential for grid testing using this method. In addition, we would like to pass on the invitation below to sub­scribe to The Ley Hunter . Editor Paul Devereux has been systemat­ically testing sacred sites in Great Britain and discovered the presence of uranium at virtually all of them. Given the uranium located in the vicinity of Point 17, this may be another property that is associated with UVG diamond centers.

(3) The grid lines for the United States shown in Illustration 17 at the end of this report are approximately 10 miles in width. We generally classify items as "on" if they fall within 5 miles of these lines. (We have gone a step further and put 2-mile-wide grid lines in a Rand-McNally Road Atlas of the United States . By plotting specific items on this map, we are able to see "lines" of events/geophysical items begin to manifest. Some­times these are "off" the Atlas lines by ten miles or so, but they will form a line parallel to the marked grid line. We are hopeful of eventually getting the UVG sphere on to a global computer modelling system so that we can shift it. So far we have been unable to do this.)

We generally give a range of 50-100 miles in any direction of one of the major 62 grid intersections - and call it "on".

None of the above, however, answers what "on" means. We are tending towards viewing the core of the earth as a reactive plasma (not unlike a virus living in a host cell). The more scientists learn of plasmas, the more they are appearing to manifest geometric properties. It seems likely that the regular interaction of plasma in universal soup should produce regularities of some sort at the crust.

What must be added to the plasma picture, however, is the Gaia hypothesis - and the "life" of the planet for lack of a better word. It seems beyond coincidence that approximately 75% of our National Parks and scenic wonders are "on" grid lines. What is it that makes these places "beautiful" but our perception that they are so?

We sometimes like to think of grid lines as "cracks in the cosmic egg" - with life breaking through. In this regard, we can think of the earth as a perfect crystal plasma with the grid "lines" or cracks as "defects". If we do so, we can draw a direct analogy to current superconductor theory. Here we quote Time Magazine , May 11, 1987:

"A team of Bell Labs and Arizona State scientists has produced electron- microscope photographs that show defects in the (superconductor's) crystalline structure. . . "We don't quite understand what role the defects play, but it raises some provocative questions. Is (the ceramic) the perfect material that is superconducting? Or is it the defects? If it turns out that it is the defects, then we will want to control them and increase their density and put them in intentionally."

Edgar Cayce and Atlantis fans are now permitted to shiver in their boots!

This question has begun to intrigue us more and more. The students associated with the project over the past year have made life geographies, This involves listing places one has lived, vacationed, or experienced significant life events. We then code these places according to where they are positioned in respect to the grid. One student had spent her entire life on grid lines; one lived only on orange lines (one of Fuller's sets), as had her parents - but in completely different parts of the country; some students live on grid lines and vacation off them. In short , the patterns seem to be individual. In my own case, I have always lived off and had very intense emotional interactions and vacations "on". Several students said that distinct life changes had been made when they had moved from a place "on" a line to one "off" - or vice versa.

If the grid is somehow related to astronomical data, as correlations with the Flagstaff Stone seem to indicate, we may have simply worked ourselves back around to another variation of astrology.

(5) and (6) Here we sincerely request your comments and tech­nical assistance. Our plans at present are to begin work on a book titled 2012: Models for Initiation . Essentially, this work would flesh out the kinds of insights put forth in this report with regard to geometry, ancient cultures, and numerology - and would move forward into the potential uses to which this knowledge could be put in order to ease fears of life and death and promote global peace and prosperity. Grid metaphors would be at the core.

We will be making a first attempt at presenting this publicly at a seminar for doctoral candidates at Union Graduate School September 28-October 2, 1988. We have chosen to focus on initiation because, at this point in time, it appears to have had this effect on many of our project's researchers - "the ability to move forward con­fidently , creatively, and without fear in the face of the unknown."

Bethe Hagens. December 10, 1987

(See map below)

These files are protected by a Creative Commons license. Any of the information and graphics may be copied and freely shared as long as (1) the author and source are cited; (2) the Creative Commons license is acknowledged; and (3) the material is not sold. Please contact me if you have a question about using any of these materials.

::. Home Page ::. Bethe Hagens Articles
Untitled Document

                                                                    Web Design by