Date 0703Ä94 (1921) FUFO To ALL Fr DON ALLEN Read NO Subj MESSAGE OF CYDONIA The +quot;Me
Date: 0703Ä94 (19:21) F:UFO
To: ALL
Fr: DON ALLEN Read: NO
Subj: MESSAGE OF CYDONIA
The "Message of Cydonia"
First Communication from an Extraterrestrial Civilization?
By Richard C. Hoagland *
and Erol O. Torun @
Copyright (C) 1989
All Rights Reserved
Introduction
For the past 13 years  ever since an unmanned NASA Viking spacecraft
successfully photographed the surface of the planet Mars in 1976  a
mystery has loomed . . . a milelong, 1500ft high humanoid "face"
discovered in a northern Martian desert called "Cydonia." In its immediate
vicinity have been identified other "anthropomorphic objects": most
notable, several "pyramids" (see Fig. 1). Various investigators [Owen,
1976  see Hoagland (1987); DiPietro and Molenaar (1980); Hoagland (1986);
Pozos (1986); Hoagland (1987); and Carlotto (1988)] have examined this
collection of objects over the past 13 years, and have reached widely
varying conclusions. The essence of the controversey  its potential
importance or nonimportance as a "scientific" problem  is perhaps summed
up best by Hoagland (1987):
"Either these features on Mars are
natural and this investigation is a complete
waste of time, or they are artificial and
this is one of the most important discoveries
of our entire existence on Earth. If they
are artificial it is imperative that we
figure them out, because they 'do not belong
there.' There presence may be trying very
hard to tell us something extraordinary."
Background to This Study
The initial purpose of this study was an examination of the "Cydonia
mathematics," which at first glance emphasize the importance of two
"dimensionless constants": "e" (the base of natural logarithms = 2.718282);
and "pi" [the ratio of the circumference of a circle (or sphere) to its
diameter = 3.14159]. These two constants appear, both separately (as "e"
and "pi"), and apparantly together (as "e/pi"), redundantly encoded in the
fundamental geometry of the layout of the "anomalous features" at Cydonia.

* The Mars Mission: Box 981, Wytheville, VA 24382; (703)2287822
The Significance of "e/pi"
Following these discoveries, the authors (this paper) began the
current systematic inquiry into whether there was indeed a "message" at
Cydonia: encoded geometrically in terms of specific placement of specific
objects, by means of redundant mathematical ratios derived by dividing the
observed angular relationships into one another. Over the last century or
so, several prominent proposals have been made for encoding "CETI" messages
by means of mathematical constants (Cocconi and Morrison, 1959; Sagan,
1973; Rubtsov and Ursal, 1984), and even physical geometric relationships
on planetary surfaces (Gauss, et al.,  see Crowe, 1986).
In particular, the authors were attempting to determine if e/pi =
0.865 [as opposed to the more fundamental ratio (sqrt 3)/2 = 0.866] was the
ratio specifically intended at Cydonia. Others (notably Davies) had
already raised key questions regarding this potential ambiguity.
Other constants demonstrated at Cydonia by Hoagland and Torun being
"sqrt 2," "3" and "sqrt 3" (1988), this confusion regarding which constant
was "really" represented by the observed, redundant angle ratios, trig
functions, and radian measure was considered an important question to resolve.
Since "3" and "sqrt 3" are numbers essential to calculating "areas" and
"volumes," Torun decided to explore their geometric implications first,
following on Gauss (op cit).
He began by investigating geometrical relationships among several
fundamental "Platonic solids": the tetrahedron, cube, octahedron,
icosohedron, and dodecahedron. In pursuing these explorations, Torun
examined the mathematical properties of "circumscribed polyhedra"  the
Platonic solids embedded in a sphere.
Almost immediately, he discovered something quite astonishing (to a
nonspecialist): the surface area of a tetrahedron (the "lowest order,"
simplest Platonic form), inscribed inside a "higherorder" form  a sphere
 results in a surface ratio (sphere/tetrahedron) almost precisely
equivalent to "e," the base of natural logarithms:
e = 2.718282
surface of sphere
 = 2.720699
surface of circumscribed tetrahedron
Difference = 0.002417
The derivation of the above is as follows:
(expressions are written in FORTRAN notation)
Let A(t) = surface area of tetrahedron
A(s) = surface area of circumscribing sphere
R = radius of circumscribing sphere
For a regular tetrahedron of edge a:
A(t) = a**2 * sqrt(3) and R = a * sqrt(6)/4
For the circumscribing sphere:
A(s) = 4*pi*R**2 = 4*pi * (a*sqrt(6)/4)**2 = (3/2)*pi*a**2
Area of sphere/area of circumscribed tetrahedron
A(s)/A(t) = (3/2)*pi*a**2/(a**2 * sqrt(3)) = 3*pi/(2*sqrt (3))
A(s)/A(t) = 2.720699  an approximation of e = 2.718282
When Torun substituted this "close approximation of e", termed e', in
the equation most approximated at Cydonia:
e/pi = 0.865
He discovered that:
e'/pi = 2.720699/3.141593 = 0.866025 = (sqrt 3)/2
Or . . . precisely the observed "e/pi" ratio discovered at Cydonia!
The fact that e'/pi equals (sqrt 3)/2 can be demonstrated
algebraically:
Since e' was defined as 3*pi/(2*sqrt (3)),
e'/pi = 3*pi/(2*sqrt (3)) / pi = 3/(2*sqrt (3)) = sqrt(3)/2
To place the above math in simple terms:
The values of e/pi and (sqrt 3)/2 are
precisely equal when e/pi is evaluated using
the approximation of e that is generated by
the geometry of a circumscribed tetrahedron.
This simple fact completely resolves the ambiguity regarding which
ratio  e/pi or (sqrt 3)/2  was intended at Cydonia (see Fig. 4):
Apparently, both were!
Since the most redundantly observed Cydonia ratio is 0.866 and not
0.865 (the true ratio of the base of natural logarithms, divided by Pi 
to three significantfigures), it must now be clear, however, that the
*primary* meaning of the "geometry of Cydonia" was in all likelihood
intended to memoralize the (sphere)/(circumscribed tetrahedron) ratio
[which is also (sqrt 3/2)], and not "e/pi".
Further examples of "e/pi" at Cydonia  appearing in connection with
the ArcTan of 50.6 degrees (present at least twice in association with the
Face)  when examined by Hoagland, confirm that Torun's "circumscribed
tetrahedral ratio"  e' = 2.72069  and NOT the base of natural
logarithms (e = 2.718282) provides a closer fit to the observed number
Thus strongly implying that "tetrahedral geometry" (and NOT the usual
association of "e" with "growth equations") is the predominent meaning of
"e/(sqrt 5)" and "(sqrt 5)/e"  two other specific ratios found
redundantly throughout the complex:
e/(sqrt 5) = 1.215652
e'/(sqrt 5) = 1.216734
Cydonia ratio = 1.217 = ArcTan 50.6 degrees
(The detailed implications of this association  e' and (sqrt 5) 
will be examined in a subsequent paper.)
These results, combined with other examples in the Complex (D&M
Pyramid angles 60 degrees/ 69.4 degrees = 0.865 ) are what lead us to the
conclusion that in fact *both* constants  e and e'  are deliberately
encoded at Cydonia. In particular:
D&M Pyramid apex = 40.868 deg N
= ArcTan 0.865256 = e/pi
But another feature on the D&M  the wedgeshaped projection on the
front  defines the Pyramid's bilateral symmetry and orientation directly
toward the Face. This feature also now seems to mark an equally important
latitude:
D&M "wedge" = 40.893 deg N
= ArcTan 0.866025 = e'/pi = (sqrt 3)2
Torun identifies a conspicuous "knob," lying at the end of this wedge,
as the "benchmark" designed to mark precisely the correct "e'/pi" latitude
 40.893 degrees, approx. 1/40th degree North of the true apex of the
Pyramid. The terminus of this wedge, together with the NW corner of the
pyramid, are the only two points on the pyramid that, when connected,
denote a line of latitude (see Fig. 5).
Again, putting this in simple terms:
The geometry of a circumscribed tetrahedron
is not only suggested by the alignments in
Cydonia, but also by the siting latitude,
size, shape, and orientation of the D&M
Pyramid itself.
This discovery only underscores the importance apparently attached to
"circumscribed tetrahedral geometry" in the construction of Cydonia 
raising the important question:
Why?
The "Message of Cydonia"
Verification of a highlyspecific and redundant communication of
"circumscribed tetrahedral geometry"  including its obviously *deliberate*
extension to the siting of the Cydonia Complex on the planet  would be
deemed a phenomenonal discovery. If this is indeed "the message of
Cydonia," crafted by what Mars' hostile environment strongly implies was a
visiting interstellar culture (Hoagland, 1987), then what could have been
its purpose?
Apparently:
To communicate the "importance" of tetrahedral geometry itself!
If this is the successful "decoding of the Message"  its existence
(if not the sheer effort expended in its communication) must in turn raise
obvious questions regarding "hitherto unrecognized properties" of
circumscribed tetrahedra.
Understanding the Meaning of "the Message": Verification
in Hitherto Unrecognized Geophysical Phenomena
Since the latitude of the entire Cydonia Complex seems to have been
carefully chosen to reflect the ArcTANGENT of this circumscribed
tetrahedral "message, it occurred to the authors that "something important
might lie at the LATITUDE represented by the vertices of a circumscribed
tetrahedron  placed 'inside a planet'." This would represent the most
elegent expression of the ArcTANGENT trignometric function emphasized
repeatedly within the Complex  especially the choice (out of more than
18,000 possible other choices, to equal numerical precision) of the
specific Martian latitude: 40.87 N.
In working out the several possible implications of such geometry,
Torun promptly discovered the following: if a circumscribed tetrahedron is
placed inside a globe representing a gridded planetary surface, with one
vertex located either on the geographical "North" or "South" polar axis,
the resulting latitude TANGENT to the other three vertices will lie at 19.5
degrees N. or S.  120 degrees of longitude apart.
Torun (1989) immediately noted on Earth the existence of several
significant MesoAmerican ceremonial complexes at this specific northern
latitude  raising intriguing cultural and scientific possibilities for
lost or forgotten "ancient knowledge of the significance of circumscribed
tetrahedral geometry" (Becker and Hagen, 1987). Unfortunately, these
implications are too extensive for inclusion here.
Hoagland noted something more physically significant: the largest
shield volcanic complex on Earth  the Hawaiian Caldera  is located very
close to 19.5 North! He then realized that a similar latitude marks the
location of the largest shield volcano currently known in the entire solar
system: Olympus Mons, at 19 N.  on Mars.
Subsequent survey of solar system geodetic maps  made from
spacecraft photography of the past thirty years, encompassing planetary
surfaces from Lunar Orbiter images of the Farside of the Moon, to Voyager 2
closeups of Uranus, its satellites, and now (at this writing) the planet
Neptune  revealed a remarkable (and currently inexplicable) geophysical
phenomenon (see Table 1):
The majority of "active centers" on these objects  from the greatest
shield volcanos on the "terrestrial planets" (including equivalent features
on their most anomalously active satellites!), to the enormous atmospheric
disturbances seen on some "gas giants" ("The Great Red Spots" of Jupiter
and, now, of Neptune) seem preferentially to occur very close to 19.5
degrees N. or S., irrespective of other planetary factors  mass, rotation
rate, obliquity to their respective orbits, etc. (see Fig. 6)!
There was some indication, however, that the polarity of the dipole
magnetic field, offset from the spinaxis, determined in *which hemisphere*
the phenomenon appeared; Jupiter's GRS, at approximately 20 degrees S., is
consistent (in this model) with its opposite (from terrestrial convention)
dipole field polarity. [This raises the interesting possibility of a
"magnetic field prediction" vis a vis Neptune, before the upcoming Voyager
Encounter (Aug 25, 1989)  based on observation that its "Great Red Spot"
is at the same latitude, and in the same hemisphere, as Jupiter's . . .]
"Embedded Tetrahedral Latitude" Discovered At Cydonia
Following this striking, systemwide geophysical confirmation of a
predictive (if baffling) "embedded tetrahedral model," the authors made
another significant geometrical discovery at Cydonia itself:
The critical 19.5degree tangential latitude of the "embedded
tetrahedron" is specifically associated with a massive, *tetrahedral
pyramid* located TANGENTIALLY, on the circular rim, of a 2mile impact
crater; in turn, this "pyramid" is connected TANGENTIALLY (via a line
denoting the exact North/South meridian) to a circular (planetlike?)
feature termed "the Tholus"; which, in turn, is connected to a third,
linear feature ("the Cliff") positioned TANGENTIAL to the same crater
(see Fig. 3b).
This highlyspecific geometric "statement"  a 19.5degree angle
offset to the local meridian, connecting three objects (one of them a
tetrahedron!) in a way that reinforces the TANGENTIAL importance of that
relationship  seems to explicitly establish a "geometric connection"
between "a tetrahedron" (the pyramid), a circular, "planetlike"
construction (the Tholus), and the linear "Cliff' (the 19.5degree offset
reference), a relationship also known to be coded elsewhere in the Complex,
in terms of derived mathematical constants: specifically, "e'/pi."
This explicit geometric statement also uniquely establishes an
*identical* 19.5degree angle offset between the D&M (at the other end of
the Complex) and the resulting "map grid"  further underscoring the
significance of the D&M's unique latitude relationships (see Fig. 5).
Conclusion:
These interlocking, extremely meaningful, and
highly predictive relationships  coded now in both
the mathematical and blatant geometric aspects of the
Complex  can only be interpretated with extraordinary
effort as anything other than the result of a deliber
ate and systematic plan  designed to underscore the
importance of "tetrahedral geometry."
That the anomalies predicted by this "geometry" encompass a range of
demonstrable solar system phenomena  from deeplyburied planetary mantle
"hot spots," to associated shield volcanoes, to atmospheric thermal
"upwellings," etc.  is also now readily apparent
Even if the reason for their specific "latitudedependence" is not!
The Significance of the "Cydonia Message"
Lest there be any confusion, the authors are NOT claiming there is "a
tetrahedron buried inside each planet!" Rather, it is suggested that the
"tetrahedral geometry" explicitly designated by "Cydonia" is revealing an
equivalent higherorder mathematical topology: i.e., a vorticular "two
torus" energy flow and internal fluid dynamics, equivalent to tetrahedral
mathematics. That such an internal "vorticular pattern" could be
explicitly modeled by an "embedded tetrahedral topology" is mathematically
wellknown (Porteous, I. R., 1981). That such a "geometric shorthand" 
directing us specifically to some underlying physical manifestation of
tetrahedral mathematics  was left specifically for us at Cydonia, seems
now almost inescapable . . . if not inescapably significant.
A quantitative treatment of the physics underlying this phenomenon
would appear likely to advance our understanding of energy transfer inside
planets considerably  a not unexpected outcome, if this indeed is
"Mankind's first successfullydecoded extraterrestrial message."
Additional observations suggest, however, that the significance of these
predictions could extend far beyond "the simple siting of active volcanic
centers on the surfaces of nearby worlds . . ."
"Cydonia Tetrahedral Model" Extended to the Giant Planets
We have already alluded to the surprising conformance of the planet
Neptune to this mysterious "embedded tetrahedral model." Its newly
discovered "Great Red Spot" (as imaged by the Voyager 2 spacecraft) now
strikingly coincides with the "19.5degree latitude predictions"
communicated by Cydonia. It is the growing suspicion of the authors,
however, that the imminent Voyager studies of Neptune, coupled with a re
analysis of those studies it conducted of Uranus, may provide vital
evidence that the "Cydonia equations" are trying to tell us about more than
just energy transfer . . .
Based on the evidence detailed below, it is our suggestion that these
observations may relate to actual energy generation.
For many years there have been observed "energy excesses" in the
overall energy balances exhibited by the four major planets of the outer
solar system: Jupiter, Saturn, Uranus and Neptune. These planets,
inexplicably, all radiate significantly more energy into space than they
receive from the Sun at their respective distances (Hubbard, 1980).
Jupiter's positive energy balance (1.67  compared to solar input)
apparently derives mainly from primordial heat retained during it's
"collapse phase" from the original solar nebula, 4.5 billion years ago. A
secondary contribution is calculated as created by the internal separation
of helium from hydrogen ("helium drip"), with the resulting release of
additional gravitational potential energy (Smoluchowski, 1967; Graboske et
al., 1975).
Saturn, far less massive than Jupiter, is considered too small to have
retained significant primordial heat. Thus, it's observed "excess" (1.78
solar input) is wholly ascribed to the gravitational separation of helium
from hydrogen, tentatively verified by the 1980 and 1981 Voyager infrared
observations of Saturn (Hanel, et al., 1983).
Groundbased data prior to Voyager's 1986 Uranus Encounter indicated
that Uranus and Neptune, similar telescopically from Earth, differ
dramatically in their observed "energy excesses" (Pollack, et al., 1986).
Uranus from groundbased studies seemed to possess only a marginal (if any)
heat source, compared to Jupiter and Saturn; Voyager's January, 1986 flyby
enabled investigators to lower even this minimal estimate (Pearl, et al.,
1989). The new upperlimit on the ratio of internal Uranian heat to solar
input is 1.14  almost nonexistent compared to Jupiter and Saturn, and
dramatically lower (by comparison) than current groundbased measurements
of Neptune's radiated excess (2.7) over solar input.
Conventional sources for explaining Uranus' internal energy, as slight
as it is, encounter difficulties. Based on Voyager data interpreted as
evidence of a nondepleted helium/hydrogen ratio in the Uranian atmosphere,
the "helium drip" model (so successful for Saturn) is not thought
applicable (Conrath, et al., 1987). And, for assumed early solar system
nebula compositions, resulting in a "rocky core" for Uranus equal to
between one and three earth masses, only 1550% of the formal excess can be
accounted for in terms of "radiogenic heating" (decay of radioactive
elements  Williams and von Herzen, 1974). This leaves "exotic elemental
compositions" (more than 6 earth masses of "rocky materials") and novel
energy transport mechanisms ("suppressed deepatmosphere convection") as
remaining "conventional" possibilities (Stevenson, 1987). These
difficulties in accounting for the source of Uranus' internal heat are only
made more difficult when the planet is compared to Neptune  it's supposed
"twin" in terms of size and (presumably) composition.
Because of these potential compositional problems, and the great
disparity in internal energygeneration between these two otherwise so
similar planets, the authors are led to propose another possibility:
That the "Cydonia equations" may really be attempting to describe, not
merely internal energy transport, but internal energy generation  most
evident (because of sheer distance from the Sun) in the overall energy
balances of Uranus and Neptune.
Further, the authors believe study of the detailed Voyager infrared
Uranus observations support this possibility:
Uranus, because of its extreme obliquity (98 degrees) relative to its
orbit, alternates each pole toward and away from the Sun for a quarter of
its 84year revolution. Despite this unique geometric shadowing effect (
the Uranian south pole not having "seen" sunlight for over 20 years, at the
time of the Voyager Encounter)
THERE WAS NO GLOBAL TEMPERATURE DIFFERENCE OBSERVED BETWEEN THE DAY AND
NIGHTSIDE POLES.
Because of the problems cited above with any internal Uranian heat
source, and the distinct possibility that (within the error's of Voyager's
measurements) Uranus actually possesses zero internal energy, discussion in
the literature has attempted to explain this global temperature uniformity
as "redistribution of intercepted solar input," via "shallow atmospheric
advection" (Friedson and Ingersoll, 1987); if the solar energy is being
transported around to the nightside of the planet by a shallow, upper
atmospheric mechanism, this would radically decrease (because of the non
necessity for warming the entire nightside atmosphere) the amount of heat
(energy) required for transport to the nightside  otherwise needed to
account for Voyager's globaltemperature distribution measurements.
A major problem for this model, however, was the Voyager observation
that the winds (clocked by observing several discrete clouds) blow in the
same direction as the rotation of the planet (Smith, et al., 1986); pre
Encounter theoretical predictions had firmly anticipated a fourday
retrograde rotation of the upper atmosphere, driven by external solar
radiation. [The planet Venus, where such opposite winds (to the rotation
of the planet) are observed, has its atmosphere dynamicallydetermined by
intense external solar radiation.] Further, the fact that the observed
Uranian clouds were seen circling the pole in a series of concentric
circles (parallel to decreasing latitude) as Voyager approached, leads to
difficulties in modeling heat transport to the nightside, pole to pole 
across the latitudinal windflow.
These observations make it at least plausible to the authors that
internal energy, not "shallow advection of absorbed solar radiation"
constitute the primary driver for the Uranian atmosphere; a final, detailed
Voyager infrared observation, would seem to add significant support to this
hypothesis.
In scanning both hemispheres  the dayside South pole and the
nightside North  the Voyager IR instrument detected a small but
significant 12 K temperature drop in both hemispheres  at approx. 20
degrees N. and S. latitude (Pearl, et al, op cit). Interpretated as the
spacecraft viewing smallscale emissive and reflected temperature profiles
of colder, higher clouds (consistent with similar observations made at
Jupiter and Saturn  including measured temperatures of Jupiter's Great
Red Spot, which is also colder because it is higher than the surrounding
Jovian atmosphere), the Uranus' observations could be interpreted as "some
kind of massive 'upwelling' within the Uranian atmosphere," creating
condensation products  clouds  as the atmosphere rises to higher
altitudes
Narrowly straddling the "plus and minus 19.5degree latitude" where
the "embedded tetrahedral model" of the Cydonia equations would predict 
for an internal, energydriven "upwelling" on the planet!
The difficulties involved in modeling a process, driven by external
solar radiation, which could create such upwellings and then "know" where
to create them  at the "magic 19.5degree latitude" predicted by Cydonia
 are formidable. In the opinion of the authors, it is much easier to
ascribe these symmetrical upwellings to an internal energy source 
released according to the nowfamiliar Cydonia pattern observed elsewhere
in the solar system of "internallydriven energy emission."
The fact that these upwellings appear symmetrically in Voyager IR
scans of both hemispheres presents, however, an interesting contradiction
to other "planetary upwellings"  which seem to be restricted to one
hemisphere, and to one localized latitude region. Those on Uranus (if the
model is applicable) are not.
The apparent enigma is resolved, we think, by the fact that the
Uranian magnetic field is radically different from any other planet:
aligned at approximately 55 degrees to the inertial spin axis (Ness, et
al., 1986). It is at least interesting to propose that somehow this almost
rightangles magnetic orientation with respect to the geographic poles
"allows" the internal energy processes predicted by the "embedded
tetrahedral model" to manifest symmetrically in both hemispheres. If true,
this in turn allows some insight into the role of planetary magnetic fields
in the "Cydonia phenomenon": in some geometries, that of selective
hemispheric suppression of an internal energytransport mechanism.
Based on all of the above, it is the considered opinion of the authors
that at Uranus, the Cydonia "embedded tetrahedral model" reveals itself as
not only a mechanism for energy tranport within planets  but, quite
likely, as a process of internal energy generation as well. The implications
of verifying this hypothesis  for all planets where these phenomenon are
observed to follow the "Cydonia predictions," including Earth  the authors
think are obvious . . . if not highly significant in terms of other astro
physical environments, where involving a potential "new source" of energy
might lead to wholly different fundamental models.
Extension of the Cydonia "Tetrahedral Model" Beyond Planets
Heartened by the apparent success of this "embedded tetrahedral model"
in empirically predicting surface manifestatons of internal planetary
dynamics, the authors decided to extend the model to the Sun. This is the
result.
With no solid lithosphere, the solar plasma "photospheric surface" is
of course far more like the banded, turbulant atmospheres of the giant
outer planets (though much hotter!), than the dense, solid crusts of the
"terrestrial" planets. And like the atmospheres of the giant planets,
there is a recurring "surface phenomenon" which is measurable  in terms
of a coordinate system referenced with relation to the rotational axis:
sunspots.
Though appearing dark against the surrounding photospheric background,
sunspots are still measured at approximately 3500 K, and radiate enormous
energy per unit area. More significant for our discussion here, though
convection within the spot "umbra" (the darkest, central part) is
suppressed by intense, local magnetic field strengths (Hale, 1913), there
is evidence of enhanced energy emission around the spot itself  perhaps
as much as one or two percent over the normal photospheric background.
When flare activity is considered (which occurs in the intense, tangled
magnetic fields between sunspot groups), spots  as opposed to being
"regions of lower solar output"  are in fact localized areas of "enhanced
energy emission" (Brandt, 1966)
The recurring 22year solar sunspot cycle is made up on average of two
backtoback 11year components. Sunspots at the beginning of each cycle
usually appear in pairs, with opposite magnetic polarity  N. and S.
(though, entire localized "sunspot regions"  see above  can also form),
at high solar latitudes ( 40 degrees). The appearance of new additional
"spot pairs" (and the dying of "old" ones), as the cycle progresses,
subsequently drift North and South (depending on the hemisphere) 
eventually converging late in the cycle in the solar equatorial regions.
11 years later, on average, a new cycle begins, with sunspot pairs of
now opposite polarity (compared to the initial cycle) "breaking out" once
again at high solar latitudes  with subsequent spots appearing at
decreasing latitudes as the new cycle moves toward its 11year completion.
To our amazement, when the mean latitude of the majority of sunspot
and associated flare activity was examined, the mean in both hemispheres 
from beginning to end of each cycle  was found to be remarkably close to
20 degrees (Fig. 7)!
The apparent appearance in the Sun of the same phenomenon so
successfully predicted by Cydonia for planets  including the possibility
that the effect is somehow related to a new source of energy generation and
not "merely" energy transport  opens up extraordinary possibilities.
These must include consideration that solar luminosity could be a mixture
of two energy sources: the "traditional" fusion of hydrogen within the
solar core; and another, still inexplicable process, somehow modulated by
the general wax and wane of solar magnetic activity! [R. C. Wilson, after
many years of careful observations at Mt. Wilson, has demonstrated direct
variation of the solar constant in synchronization with the solar sunspot
cycle (Wilson, et al., 1980). Newer Solar Max satellite data from above
the atmosphere confirm the findings.]
Discussion
A detailed discussion of these observations is beyond the scope of
this inquiry. However, the authors feel they would be remiss if they did
not conclude by at least mentioning two additional areas where future
observations could greatly increase our confidence in the reality of this
phenomenon  if not our understanding of its nature.
In view of apparent solar conformance with "circumscribed tetrahedral
geometry," one area for further research seems immediately apparent:
"exotic stars."
In addition to "flare stars" and other highlyvariable stellar objects
with surface phenomenon thought to be similar to solar processes, we feel
that, if the Cydonia mathematics are attempting to describe not only energy
"flow" but somehow "energy generation"  then the ability to test these
ideas via radio astronomy should be the highest in terms of one class of
exotic objects in particular: pulsars.
The common link connecting all the objects for which the Cydonia
"embedded tetrahedral model" seems to work  from the planets to the Sun
seems at this stage to be based on one significant association: angular
momentum and magnetic fields. Before the adoption of the present, complex
"selfexcited dynamo theory" (with internal, circulating, conducting
"fluids" as the mechanism for general planetary and stellar magnetism),
another  strictly empirical  hypothesis was proposed: a strikingly
simple relationship between the observed total angular momentum of the
object, and a resulting dipole.
Termed "Schuster's Hypothesis" (Schuster, 1912), it has been
successful in predicting magnetic field strengths (Blackett, 1947; Warwick,
1971) ranging from the earth's, to the sun's, to Jupiter's vast field
(20,000 times the terrestrial dipole moment)  a prediction made over sixty
years prior to the 197374 Pioneers' 10 and 11 closeup confirmations
(Warwick, 1976).
(It should be pointed out, groundbased radio astronomy had
successfully deduced Jupiter's magnetic field strength  thus its
conformance with "Schuster's Hypothesis"  some twenty years before the
Pioneer magnetometer observations confirmed the radio data and Schuster 
who's very name and empirical discovery is, inexplicably, completely
missing from all NASA literature on planetary magnetism.)
Commented Warwick on the remarkably predictive power of "Schuster's
Hypothesis," even in 1971:
"Dynamo theory has not yet successfully predicted any cosmical fields.
It's use today rests on the ASSUMPTION that no alternative theory
corresponds more closely to observations [original emphasis]."
Taking Schuster's 1912 proposal, the authors have plotted contemporary
parameters for angular momentum versus observed the magnetic dipole moment
(for all planetary objects now visited by spacecraft with magnetometers),
and find Schuster's Hypothesis amazingly confirmed (see Fig. 8)  with the
exception of Mars (for which we have extremely poor data  no American
spacecraft since Mariner 4, including Viking, has carried a magnetometer to
Mars!), and Uranus (discussed below).
It is tempting to propose that what we have observed in terms of the
"Cydonia equations"  a remarkable correlation between external, localized
energy emission and a planetary spinaxis, somehow modulated by the
orientation (if not the intrinsic value) of the magnetic field  may be
trying to tell us about the physical process underlying "Schuster's
Hypothesis": how magnetic fields in spinning bodies form . . . if not how
their formation may be associated with internal energy generation.
In terms of an observable, visible connection between these two
parameters  planetary magnetism and planetary surface features  it is
interesting that Warwick in 1976 already had observed:
"It seems likely that, corresponding to atmospheric belts and zones as
seen in Jupiter's cloud top level, there is a beltlike structure in the
magnetic field not strong enough to alter the dipole structure radically
[thus not mappable by spacecraft' instruments  unless in very closein
orbits] but still sufficient to play a role in magnetospheric diffusion as
Neil Brice suggested some years ago. This magnetic fine structure also
must play a role in decametric [radio emission] phenomenonology . . .
[which], especially [as exhibited in] longitude patterns throughout the
Jupiter year, is strictly reproducible over the two decades of radio
observations. The conclusion I draw from this fact is that the magnetic
fine structure near the [cloud top] surface of Jupiter has remained constant
over the same time interval. In support of this conclusion is the more or
less constant belt and zone structure of Jupiter since 1950 . . . Such a
correlation, which is ultimately [in this theory, associated] with magnetic
fine structure, would tend to confirm the existence of magnetohydro
dynamic turbulance near the surface of Jupiter."
Warwick's inferences regarding the role of magnetism and fluid
physics, in possibly generating the patterns longobserved in radio
astronomy's "decametric observations," would seem to lend support to our
own tentative proposals:
That the Cydonia "embedded tetrahedral model" (merely, if we're
correct, an equivalent geometrical expression of the far more complex
mathematics associated with a "vorticular fluidflow") is in fact
predicting the latitudes and sizes of the Great Red Spots on Jupiter (and
now on Neptune!), and the largest volcanic centers of emission on
"terrestrial planets," through deepseated, vorticular magnetohydrodynamic
processes  operating in the highly conducting mantles of these bodies. A
similar mechanism probably underlies the Sun's conformance to "tetrahedral
geometry" as well.
That each "upwelling" (at least in the atmospheres of these two giant
planets), seems scaled strictly in terms of the respective size of each
respective body, provides further elegant support for an internally
determined "fluid" model.
The fascinating, observed correlation between angular momentum and
magnetic dipole moment  if not field polarity, evidenced by the selective
hemispheric appearance of energy emission at 19.5 N. or S.  has made us
wonder, however, about more fundamental correlations . . . . We suspect
that the puzzling and periodic "fieldreversals" of the terrestrial
geomagnetic field are another indication of the "Cydonia embedded
tetrahedral model"  modulated by the constant gravitational "tidal
kneading" of the Moon. If this process is involved in periodically
"flipping" the entire magnetic field (and the resulting "hot spots"), then
the precise physical mechanism should raise provocative questions involving
electromagnetism, mass, inertia . . . and possibly gravity itself. Sirag,
in observing this same remarkable correlation between angular momentum and
electromagnetism (1979), raised similar considerations.
If the Cydonia mathematics are attempting to direct us to energy
generation and subsequent energy transfer inside astronomical objects,
involving a hitherto unknown relationship between two of the four basic
forces of the Universe  gravity and electromagnetism: i.e. a "Unified
Field"  this process in our opinion cannot help but manifest itself more
clearly in astrophysical environments where both parameters have reached
extraordinary values
Which brings us once again to pulsars.
Even the "average" spinning neutron star (the favored "pulsar model")
possesses surface gravitational accelerations, angular momentum, and
magnetic field strengths billions of times more intense than similar
quantities in any solar system object. Moreover, since Schuster's
Hypothesis strikingly succeeds in its prediction of even these
extraordinary magnetic dipole moments (see Fig. 8), we cannot help but
wonder at what rich new confirmations of the "Cydonia mathematics" may lie
hidden in existing  and currently mystifying  pulsar observations . . .
If in the "Cydonia tetrahedral mathematics" we are truly seeing the
deliberate communication of demonstrable astrophysical effects of a long
sought "Unified Field Theory," this in itself would be remarkable
confirmation of current efforts to discover such fundamental mathematical
connections between Nature's elemental forces. For, most provocative: one
leading mathematical approach to successfully modeling such connections is
essentially based on a tetrahedral model, and a resulting mathematical
expansion into "higherdimensional, nspace relationships" (recently
discovered) between the five Platonic solids (Sirag, 1989). In
particlular, these studies relate tetrahedral geometry as being
topologically equivalent to threetoruses  tori extending into "one more
dimension than our familiar three." [Many current efforts in pursuit of
"unified field models," such as the muchacclaimed "superstring theory,"
routinely involve up to ten mathematical dimensions. Some more recent
theories are exploring twentysix (Sirag, ibid).]
Phrased in simple terms:
The routine mathematical representation of
vorticular flow in more than three dimensions 
a threetorus  by means of threedimensional
tetrahedral models, opens up the possibility
that the demonstrable geophysical effects of the
"Cydonia tetrahedral message" are attempting to
communicate the reality of additional dimensions
(as opposed to mere mathematical abstractions)
 and the observable reality of vorticular
energy flow between adjoining "nspaces."
Such totally unexpected (to nonspecialists) and remarkable
mathematical correlations  between as yet unpublished theoretical work
into Unified Field Models, and the specific tetrahedral geometry apparently
intended at Cydonia  gives added confidence that such a linkage was in
fact intended. If so, there may be an additional confirmation of a such a
radical "Cydonia Unified Field Model"
In the continuing, puzzling departure of some celestial objects from
strict "Newtonian mechanics."
Careful observation of the outer planets over the last two centuries
has revealed that "the motions of Uranus and Neptune cannot be adequately
represented within the present gravitational model of the solar system"
(Harrington, 1988). While gravitational perturbations originally ascribed
to Pluto (Tombaugh and Moore, 1980) have now definitely been eliminated as
of adequate magnitude to explain these astrometric deviations (Harrington,
op cit), "the suspicion of the existence of a tenth planet" has resulted in
renewed efforts (Seidelmann and Harrington, 1988) to search for another
unseen object which could gravitationally account for the persistant
residuals of Uranus and Neptune.
However, other experts in celestial mechanics are open to the
possibility that (as opposed to a new planet) a fundamental modification to
gravitational theory itself may in fact be necessary, in order to
adequately model the puzzling outer planet motions (Anderson, 1989) 
which, curiously, are most "anomalous" for Uranus.
As a direct consequence of the apparently successful application of
the "Cydonia predictions" to Uranus and Neptune, and because of a probable
fundamental link this has revealed between angular momentum (rotating mass)
and electromagnetism, we suggest a third alternative should be considered:
A derivative "anomalous gravitational effect," somehow created by
these interactions.
Such an admittedly radical proposal must of course be subject to some
stringent observational tests; we believe that Voyager's own 1986 Encounter
has fortuitously supplied us with just such an opportunity
In the form of "anomalous" Voyager 2 Xband rangerate residuals,
acquired during the flyby of Uranus itself.
For over a month prior and subsequent to the January, 1986 Encounter,
calibrated ranging signals were transmitted to and from the Voyager 2
spacecraft. Examination of five days of ranging data, centered on the time
of Closest Approach, reveals a series of curious, systematic "range errors"
 seen only around the time of periapsis of Voyager to Uranus (see Fig. 9);
at this time, the spacecraft exhibited a range error of up to 100 meters
(an order of magnitude larger than instrumentationlimited range uncertainties
of approx. 9 meters, introduced by the Voyager/DSN radio ranging system
itself.) These systematic errors were also inexplicably centered
symmetrically on periapsis (Anderson, et al., 1988).
Explanations which would attribute this effect to "group delay of the
ranging modulation by free electrons between Earth and Voyager 2" remain
unconvincing, when the data are compared to similar residuals (Fig. 9)
recorded during Voyager 2's Encounter of Saturn (Campbell, et al, 1989).
The latter, by comparison, are "flat" (as opposed to the systematic
increase and decrease observed at Uranus): reflecting no similar
"symmetricallycentered curve," mirrored around the moment of Closest
Approach to Saturn.
We believe therefore that these demonstrably unique, and highly
suggestive ranging observations are interpretable as potentially direct
evidence of the modification of the Uranian gravitational metric, by some
additional "spacetime effect" associated with the Cydonia "embedded
tetrahedral model." We further suspect that the highly anomalous Uranian
magnetic fieldgeometry Voyager observed with respect to the planetary spin
axis (>60 degrees)  if not the significant departure of the planet's
overall magnetic dipole moment from "Schuster's Hypothesis" (see Fig. 8) 
may somehow be involved.
One important reason for raising this possibility now is the imminent
Voyager 2 Encounter with Neptune.
Uranus and Neptune  essentially "twins" in terms of mass, angular
momentum and (probably) composition  provide important constraints on
several fundamental predictions of the Cydonia mathematics. The great
difference in internal energy balance between the two planets (1.14 for
Uranus; 2.7 for Neptune), coupled with the unique configuration of the
Uranian magnetic field, leads us to propose that the field orientation with
respect to the planetary spin axis is an important element in determining
in what form the internallygenerated energy appears: in Uranus, with an
almost 90degree field orientation, little energy appears as heat. In
consonance with conservation of energy, we suggest it may be "appearing" in
some other form  possibly as a change in the local "spacetime metric."
The authors, based on this energy discrepancy, and the conformance of
Neptune's "Great Red Spot" with the "embedded tetrahedral mathematics,"
feel a prediction of the Neptune field polarity (opposite the earth's), an
estimate of its specific orientation with respect to the planetary spin
axis (within 20 degrees), and its overall intensity (approximately one
tenth Saturn's) is now possible
Before the Voyager August 25, 1989 Encounter.
The relevance of these predictions to the question of "anomalous solar
system motions" of these respective planets is fundamental: in Uranus, the
energy not dissipated as internal heat (in comparison with Neptune) may be
appearing as an associated distortion of the "overall metric" connecting
the planet with the Sun, resulting in its anomalous motions with respect to
current gravitational model for the solar system.
If similar metric distortions are underlying Neptune's (smaller though
equallypuzzling) astrometric residuals, we predict that Voyager should
experience a smaller (when corrected for the difference in periapsis radii)
though significant set of "range residuals"  when compared to its
Encounter at Uranus; in addition, its instruments should verify our
predictions of the magnetic field parameters.
In terms of those, one complicating factor is the orbit of Neptune's
largest natural satellite: Triton. The essentially circular (though
retrograde) orbit, indicates significant internal tidal dissipation of
Triton's kinetic energy within Neptune  and thus a significant source of
internal heating, in addition to possible radiogenic and other ("embedded
tetrahedral?") sources; Triton's retrograde "drag" on Neptune's interior
must also have some (currently unknown) effect on any process that couples
overall planetary angular momentum with the creation of a magnetic dipole
moment.
Thus, predictions of internal heating, or "exotic gravitational/
electromagnetic interactions," indicated by the success of the "Cydonia
equations" on the other planets, are at this point somewhat ambiguous when
applied to Neptune; the only positive indication so far that this unknown
process is somehow effectively operating in the Neptune interior, is the
discovery of Neptune's "Great Red Spot"  precisely where "embedded
tetrahedral mathematics" would predict.
Thus, whatever is discovered during Voyager's Encounter of Neptune, in
our opinion, cannot help but provide important additional constraints on
the nature and applicability of the "Cydonia equations."
[We also suggest that all the giant outer planets, by virture of their
vastly larger angular momenta and magnetic dipole moments  compared to
the "terrestrial planets"  exhibit to a greater or lesser degree these
effects exhibited by Uranus and Neptune  including internal energy
release and small (but perhaps measureable) distortions of the "local"
gravitational metric; however, other mechanisms dominate at Jupiter and
Saturn, relegating these potential "tetrahedral model contributions" to a
minor role, if any, in comparison to other sources (primordial energy
release, and helium/hydrogen gravitational separation.
[Beyond the Voyager Neptune Encounter, the imminent (mid1990's)
insertion into Jovian orbit of the Galileo Orbiter may provide the only
solar system opportunity for some time to come for longterm tests of
certain subtle aspects of these suggestions.]
The true astronomical tests of these extraordinary possibilities 
apart from a manned landing at Cydonia, and discovery of additional records
specifically supporting these suggestions  will come, in our opinion,
only with redundant astrophysical observations of objects far beyond the
solar system, and over a far longer span of time. In particular, we
suggest that radio astronomy observations of peculiar binary pulsar systems
(such as newlydiscovered PSR 1957 + 20  Fruchter, et al., 1988) 
where, once again, conditions should be uniquely maximized for key
observational effects created by "nonrelativistic, gravitational
distortions"  could provide enlightening confirmation.
If these observations do lead to substantiation of this (admittedly,
most speculative) aspect of the "Cydonia equations"  an inextricable link
between gravity and electromagnetism  in our opinion this would certainly
represent the ultimate manifestation of a Unified Field Model, if not
verification of the true intent of the "Cydonia Message" itself.
Conclusion
In terms of the overall reality of such a "Message at Cydonia," the
authors feel the observable geophysical phenomena photographed all across
the solar system, and cited in this paper, now substantially demonstrate
the likelihood of such a "deliberate, technical communication." The full
extent of its predictions, beyond these initial observations however, is
currently unknown  as must be the answer to the Ultimate Question: "What
was their intent?"
Common sense dictates that, whatever the origin and culture of the
"senders," their purpose clearly would have been to communicate something
"of fundamental significance." This has been a common theme in discussions
involving "radio messages" that someday might be successfully intercepted
and decoded, as part of "Communication with Extraterrestrial Intelligence"
[CETI  (Sagan, op cit)]. The existence of a "Unified Field" message 
potentially capable of demonstrating an intrinsic connection between
gravity and electromagnetism, and already yielding a range of other,
observable astrophysical effects  would certainly in our opinion qualify
as "fundamental."
Particularly . . . if it leads to nearterm technological control and
application (Holt, 1980).
It will be left to future studies to decide if this is indeed "the
Message of Cydonia."
Summary
A set of remarkable "anomalous objects" on Mars, when examined by two
investigators using a "geometric relationship model," has yielded specific,
mathematical predictions which have been subsequently verified across the
solar system. The discovery of a redundant "tetrahedral geometry," encoded
at the Martian site known as "Cydonia," has led the authors to the
discovery that every major energy center  on the sun, and on most of the
planets and their active satellites  emerges at the surface in
conformance with predictions of an "embedded tetrahedral model": primarily
at either 19.5 degrees north or south latitude.
The implications are significant: from identification of a potential
new source of energy and laws governing its transfer within stars and
planets, to possible discovery of a longsought fundamental link between
gravity and electromagnetism itself. At the least  besides confirmation
that there is a "message at Cydonia"  these discoveries could hold out
the prospect for eventual human utilization of a new energy resource
(Smith, W. B., 1950). Learning to control the associated electromagnetic/
gravitational forces (if any), could however result in a nearterm,
dramatic breakthrough in fundamental space propulsion technology (Holt,
ibid)  with obvious implications for space exploration and eventual
settlement.
In the opinion of the authors, these possible "breakthrough
applications," of a currently unexplained but demonstrable physical
phenomenon in operation throughout the solar system, are an urgent reason
for immediate verification of the "Message of Cydonia"  not least,
through additional highresolution imaging by Mars Observer in 1993, and
ultimately
With a manned landing at Cydonia itself.
[Because of the inherent limitations of pictorial data viewed
via computer, the GRAPHICS and computerenganced Viking photographic half
tone figures for this paper are not included in this file  but are
available through THE MARS MISSION (P.O. Box 981, Wytheville, VA. 24382),
or by downloading "RESOURCES" in THE MARS MISSION BBS (703) 2287822 ]
Acknowledgements:
The authors would like to acknowledge the following people for their
support of our continuing research into the reality and meaning of Cydonia,
as well others for their specific help in the preparation of this paper:
Dr. Mark Carlotto (The Analytic Science Corporation; Mars Mission Imaging
Consultant), for continued Cydonia imaging enhancements and three
dimensional modeling of Viking data; Mr. Merton Davies (the RAND
Corporation), for updating his "1982 Mars Control Network" as applied
specifically to the problem of accurate Cydonia control points; Dr. John
Anderson (JPL; Voyager Celestial Mechanics), for providing detailed Voyager
Saturn and Uranus tracking data, and historical Uranus and Neptune
astrometric information; Dr. J. C. Pearl (Goddard Space Flight Center;
member, Voyager IR Experiment), for furnishing the latest Voyager IR Team
Uranus conclusions; Dr. James Warwick (University of Colorado, Boulder;
Principal Investigator, Voyager Planetary Radio Astronomy Experiment), for
introducing us to "Schuster's Hypothesis," and its potentially unique
application to this problem; Mr. SaulPaul Sirag, for furnishing important
references linking tetrahedral mathematics with "two and threetorus
topologies," and for providing examples from his own research of not only
Schuster's Hypothesis as potentially applicable to a Unified Field Model 
but for specifically referencing tetrahedral mathematical topology and the
Platonic Solids as directly applicable; and finally, Mr. Stan Tenen (The
Meru Foundation), for introducing us to SaulPaul Sirag, for furnishing
examples of his own research into the historical importance of the Platonic
Solids (tetrahedra, in particular), and for valued general discussion of
some of the more controversial aspects of our work.
All opinions and conclusions presented in this paper, however, are
strictly the responsibility of the authors.
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Table I
Planetary Latitudes of Emergent Energy Phenomena
Object Feature Latitude Comment
_________________________________________________________________
Earth Hawaiian Caldera 19.6 N. Largest shield
volcano
Moon Tsiolkovskii 19.6 S. Unique Farside
"marelike"
lava extrusion
Venus Alta Regio 19.5 N. Current volcanic
region
Beta Regio 25.0 S Current volcanic
region
Mars Olympus Mons 19.3 N. Largest shield
volcano
Jupiter Great Red Spot 22.0 S. Vast atmospheric
"vorticular
upwelling"
Io Loki (2) 19.0 N. (Voyager 1 & 2
Maui (6) 19.0 N. volcanic plumes)
Pele (1) 19.0 S. Presumably driven
Volund (4) 22.0 N. by intense Jovian
tidal forces
and/or Jovian
magnetic field
Saturn North Equatorial 20.0 N. Region of "storms"
Belt observed from
Earth
South Equatorial 20.0 S. Same as above
Belt
Uranus (Voyager 2 IR
Observations)
Northern IR 12 K. 20.N Presumably, deep
"dip" "upwellings,"
creating high
altitude clouds
Southern IR 12 K. 20.0 S. Same as above
"dip"
Neptune (Voyager 2 Imagery)
"Neptune Great Red 20.0 S. Presumably same as
Spot" Jovian counterpart
Source: NASA and U.S. Geological Survey
EMail Fredric L. Rice / The Skeptic Tank
