**99.81.1 "34560 harmonic" (JoeDe)**

From: healthnow@bodyvibes.com

To: Jerryiuliano@aol.com

Subject: "34560 harmonic"

Date: 05/11/03

Sent from the Internet (Details)

Source: Ray Tomes

Consider the decimal harmonic relationship:

2.4 x 3456 = 82944

3456 / 288 = 12

12 semi-tones in one octave

21,600 = nautical miles = earth's diameter.

21,600 is a decimal harmonic of A natural 216Hz (Pythagorean tuning).

86400 = total seconds in one day.

86400 is a decimal harmonic of 864Hz, which is 2 octaves above 216Hz.

34560 is a decimal harmonic of 3456Hz, which is A natural (Pythagorean tuning)

3456 / 16 = 216Hz (A natural)

Congruent coincidence:

Height of Gizeh pyramid = 147.6 meters

Median DNA frequency = 544.4Hz

136.1 is 2 octaves below 544.4Hz

147.6 / 136.1 = 1.084 (Decimal sub-harmonic of A natural)

373250 / 34560 = 10.8 (Decimal sub-harmonic of A natural)

144,000 is a decimal harmonic of 144Hz (D natural)

The interval: 144Hz (D) and 216Hz (A) form a perfect 5th (Pythagorean tuning)

Regarding 3456, A natural and 34560, decimal harmonic thereof:

Could there be a harmonic convergence that is related to all measurements, both micro and macro that is relative to the musical 5th interval, hence 144 and 216 and there respective octaves, both in decimal and multiples (octaves) of 2,4,8,16, etc??? As this interval is often seen in architecture.

The note A natural could be a universal constant, in that 544.4Hz = C#---major 3rd interval of A.

AND, E natural, which is a 5th above A natural, has been recorded in the Crop Circles.

Coincidence?

Added note: 82944 / 16 = 5184 (E natural) crop circle frequency.

**99.81.2 "34560 harmonic 2" (JoeDe)**

From: healthnow@bodyvibes.com

To: Jerryiuliano@aol.com

Subject: "34560 harmonic"

Date: 05/09/03

Sent from the Internet (Details)

37 = Theomatic Christ

3168 = gematric Christ

888 = ancient gematric Christ

Sum of which = 4093 / 16 = 255.6 (Pythagorean C Natural = 256Hz)

Jerry,

The numbers are significant to the Sumerian/Pythagorean tunings, and it IS quite obvious that there is a universal harmonic congruence that unifies the inter-relationship of all quantities, and that their Acquired Resonance is self-sustaining. If this relationship becomes misaligned, dissonance results, when at the micro level, would indicate disease.

Good and evil reside as complimentary yet opposing forces---the dual nature of a sine wave with its positive and negative nodes. Perhaps 24 semitones are required to complete a cycle, as in 2 octaves---in a 3 dimensional sine wave (double helix)---10 nucleotides per 360 degrees of revolution in DNA.

If the universal harmonic is 3456, I am quite astounded by the absolute fact that initiated this correspondence several months ago, when I had NO semblance of what was to come. Remember my mentioning of my paranormal experiences, just since November of 2002? Square root of 373250 = 610.94 of which I stated that 611Hz arrived in my right ear ---verified on my frequency generator.

3456 / 32 = 108 (A natural)

373250 / 3456 = 108

What are the odds, as I had no prior knowledge of 3456??? What is happening here???

I am not adept at math, but I have quite a keen ear for musical notes and their relationship.

**99.81.3 "34560 harmonic" (Luigi)**

From: luigi.di-martino@ntlworld.com

To: MetPhys@aol.com

Subject: "34560 harmonic"

Date: 05/11/03

Met,

Jerry sent this to my addy the other day. I have a feeling he was meaning to send it to you. He says this that I find interesting:

If every object of matter-energy is being formed of fluidlike "aether" from a Great Central Oscillator, then there should be a single musical ratio that forms a "master link" for the entire known Universe, on all levels of size.

I consider that ratio to be 45:32, which is the ratio of the tritone interval. No other ratio is able to be on both sides of the mirror at once.

Lui

**99.81.4 Magic Numbers (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: Magic Numbers

Date: 06/07/03

MP

In physics one of the great mysteries of the Independent Particle Model are the so-called "magic" numbers of electronic restrictive shell occupations of the atomic elements...126 ; 82 ; 50 ; 28 ; 20 ; 8 and 2.

magic number

NOUN: **1**. Any of the numbers, 2, 8, 20, 28, 50, 82, or 126, that represent the number of neutrons or protons in strongly bound and exceptionally stable atomic nuclei. **2**. Sports The number of wins by a leading team and losses by its closest competitor required in order for the leading team to capture a championship or secure a playoff spot.

The American Heritage¨ Dictionary of the English Language, Fourth Edition. Copyright © 2000 by Houghton Mifflin Company. Published by the Houghton Mifflin Company. All rights reserved.

The universal harmonic number, 82944 ,Ê solves this "code"Ê in two actions....

1...the chaos to order form of the Feigenbaum constant...4.669201609...

2...the fine-structure constant, the amplitude for energy (electron) and light(photons) transitions...such that:

82944 = ( 100^Pi ) / ( tan F ) .....F = 4.66920431323..

...and to derive fine-structure by inverting Pi: a(em)= 1/137.036000986..

cos 1/a(em) = 1 / (( tan F ) ^ ( 1/Pi )) = ( 82944 ^ ( 1/Pi )) / 100

...to derive the electronic number of the final shell (126) through the dividing into the whole the previous shell numbers as follows:

(((( 82944 ^ ( 1/Pi )) / 100 ) ^ - Pi ) * ( 10^8 ) / 82 / 50 / 28 / 20 / 8 = 125.9906919

....since it can be demonstrated:

( 82944 ^ ( 1/Pi )) / 100 = cos 1/a(em)

...and

1 / (( tan 4.69920431323 ) ^ ( 1/Pi )) = cos 1/a(em)

...then the "magic" numbers used in totality can demonstrate cosine inverse fine-structure:

(125.9906919 * 82 * 50 * 28 * 20 * 8 / ( 10^8 )) ^ - ( 1/Pi ) = cos 1/a(em)

...for Feigenbaum: tan in radians

( tan^-1 ( 125.9906919 * 82 * 50 * 28 * 20 * 8 / ( 10^8 ))) + Pi = 4.66920431323

...and the universal harmonic 82944:

( 10 ^ (( 2*Pi) + 8 )) / 125.99063919 / 82 / 50 / 28 / 20 / 8 = 82944

A few days later I worked out the non-cosine form for fine-structure using the collective unconscious form....( 10 ^ ( 82944 / 32 / 666 )) / 666...to arrive at:

( 666/(10^((10^((2*pi)+8))/125.9907024/82/50/28/20/8/666/32)))^2 = a(em)

A few days later still I searched Google for references to the magic numbers for electronic shell limitations and ran across this:...........

PressÊReleases

2000/06/12 **New Magic Number "16" Where Nuclei Exist Stably Discovered**

Researcher Akira Ozawa, Senior Researcher Isao Tanihata and others of RIKEN (the Institute of Physical and Chemical Research) have become the first in the world to discover a new magic number "16" in neutron-rich isotopes, where atomic nuclei can exist stably. The research results appeared in the June 12 issue of "Physical Review Letters," the proceedings of the American Physical Society.

An atomic nucleus consisting of protons and neutrons becomes stable when the number of protons and number of neutrons satisfy given numbers called magic numbers. The magic numbers known so far were "2", "8", "20", "28", "50", "82" and "126." ............................

This was just the missing shells from the Leahy equations!!!!! ...which can now be shown as :

(666/(10^((10^((2*Pi)+8))/125.990702409/82/50/28/20/16/8/2/666)))^2 = a(em)

The proof is the missing magic number ..16.. creates Plato's mysterious cyclic number ...2592.. a collective unconscious number:

(10^((2*Pi)+8))/125.990702409/82/50/28/20/16/8/2 = 2591.999784

....of which:

2591.999784 / 666 = 3.891891567 = the collective unconscious constant.

J.Iuliano

PressÊReleases

2000/06/12 **New Magic Number "16" Where Nuclei Exist Stably Discovered**

Researcher Akira Ozawa, Senior Researcher Isao Tanihata and others of RIKEN (the Institute of Physical and Chemical Research) have become the first in the world to discover a new magic number "16" in neutron-rich isotopes, where atomic nuclei can exist stably. The research results appeared in the June 12 issue of "Physical Review Letters," the proceedings of the American Physical Society.

An atomic nucleus consisting of protons and neutrons becomes stable when the number of protons and number of neutrons satisfy given numbers called magic numbers. The magic numbers known so far were "2", "8", "20", "28", "50", "82" and "126."

It had been believed that magic numbers reflect the fact that nuclei have a "shell structure" and that magic numbers do not vary even if the mixture ratio of protons to neutrons changes. But recent developments in unstable nuclear research have clarified that rather than protons and neutrons being homogeneously mixed, only neutrons are layered near the surface of nuclei in neutron-rich isotopes.

The research team measured the nuclear radii of light and unstable isotopes' such as nitrogen and oxygen, precisely using the synchrotron at the GSI in Germany, and discovered that the nuclear radii with the neutron numbers "15" and "16" increased abnormally. They also verified that with excess neutrons nuclei with neutron number "16" are especially stable.

(For further information, please contact the Public Relations Office, RIKEN; phone: 048-467-9272) (Source:STA TODAY July 2000)

**The Shell Model**

One such model is the Shell Model, which accounts for many features of the nuclear energy levels. According to this model, the motion of each nucleon is governed by the average attractive force of all the other nucleons. The resulting orbits form "shells," just as the orbits of electrons in atoms do. As nucleons are added to the nucleus, they drop into the lowest-energy shells permitted by the Pauli Principle which requires that each nucleon have a unique set of quantum numbers to describe its motion.

When a shell is full (that is, when the nucleons have used up all of the possible sets of quantum number assignments), a nucleus of unusual stability forms. This concept is similar to that found in an atom where a filled set of electron quantum numbers results in an atom with unusual stabilityÐan inert gas. When all the protons or neutrons in a nucleus are in filled shells, the number of protons or neutrons is called a "magic number." Some of the magic numbers are 2, 8, 20, 28, 50, 82, and 126. For example, 116Sn has a magic number of protons (50) and 54Fe has a magic number of neutrons (28). Some nuclei, for example 40Ca and 208Pb, have magic numbers of both protons and neutrons; these nuclei have exceptional stability and are called "doubly magic." Magic numbers are indicated on the chart of the nuclides.

Filled shells have a total angular momentum, J, equal to zero. The next added nucleon (a valence nucleon) determines the J of the new ground state. When nucleons (singly or in pairs) are excited out of the ground state they change the angular momentum of the nucleus as well as its parity and isospin projection quantum numbers. The shell model describes how much energy is required to move nucleons from one orbit to another and how the quantum numbers change. The figure above shows an energy diagram of the two filled shells of the ground state of 12C. Promotion of a nucleon or a pair of nucleons to an unfilled shell puts the nucleus into one of the excited states.

Excited nuclear states decay to more stable states, i.e., more stable nucleon orbitals. Measuring transition rates between nuclear energy levels requires specialized alpha, beta, and gamma detectors and associated electronic circuitry to precisely determine the energy and half-life of the decay. Quantum mechanics and shell-model theory permit nuclear scientists to compute the transition probability (rate of decay) between nuclear states. For nuclei whose structure can be described by a small number of valence nucleons outside filled shells, the Shell Model calculations agree very well with measured values of spin and parity assignments and transition probabilities.

An example of transitions between a nucleusÕs energy levels is shown above. The ground states of 12B (5 protons, 7 neutrons) and 12N (7 protons, 5 neutrons) are related to each other and to the 15.1 MeV state in 12C. Each has a nucleon in the third energy level, each has the quantum number 1+, 1, and each decays to the ground state of carbon. The boron and nitrogen beta decay emit an e- and e+ respectively. The 15.1 MeV state in carbon decays by gamma emission. The shell model calculations of these transition probabilities agree quite well with the measured rates even though different decay mechanisms are at work in each case. Nuclear theorists keep refining the shell model to understand the details of nuclear structure and to make that knowledge available for applications in nuclear technology.

magic number

NOUN: **1**. Any of the numbers, 2, 8, 20, 28, 50, 82, or 126, that represent the number of neutrons or protons in strongly bound and exceptionally stable atomic nuclei. **2**. Sports The number of wins by a leading team and losses by its closest competitor required in order for the leading team to capture a championship or secure a playoff spot.

The American Heritage¨ Dictionary of the English Language, Fourth Edition. Copyright © 2000 by Houghton Mifflin Company. Published by the Houghton Mifflin Company. All rights reserved.

**[PDF]**New **Magic** Number, N = 16, near the Neutron Drip-Line Akira Ozawa File Format: PDF/Adobe Acrobat - View as HTML
Your browser may not have a PDF reader available. Google recommends visiting our text version of this document.

... show a closed shell structure for the following neutron ( N ) and proton ( Z ) **numbers:
2, 8, 20, 28, 50, 82** and **126**. They are called nuclear **magic numbers**. ...
wwwndc.tokai.jaeri.go.jp/nds/proceedings/2000/o03.pdf - Similar pages

**Magic Numbers**.

n the atomic shell model, the shells are filled with electrons in order of increasing energy until they completely fill a closed shell, producing the inert core of a noble gas. These elements have highly stable properties, such as low ionic radius and high ionization energy. As further electrons are added to shells outside the core, the atomic properties are primarily determined by these valence electrons. The shell model arises from observation of similar phenomena in nuclei, with certain numbers of nucleons being particularly stable, these numbers are called `magic numbers'.

Nuclei with either numbers of protons or neutrons equal to Z, N =2, 8, 20, 28, 50, 82, or 126 exhibit certain properties which are analogous to closed shell properties in atoms, including anomalously low masses, high natural abundances and high energy first excited states. The effect can be seen in a plot of separation energy versus increasing N or Z (figure 2.3) [52]. This is similar to the ionization energy of an atom with increasing mass, ie. there is a gradual increase with a definite sharp drop off at each of the magic numbers, corresponding to the filling of major nuclear shells.

**Figure 2.3**: Two proton (top) and two neutron (bottom) separation energies as a function of N and Z respectively. Taken from [18]

In order to reproduce the observed magic numbers, it was proposed in 1948 by Mayer and Jensen [50,53] that in addition to the static potential, there is also a nuclear spin-orbit potential of the form:

(3.9)

This potential, as in the equivalent atomic case, perturbs the nuclear energy levels causing each one to split into two, characterized by the total angular momentum quantum number , as j is the vector coupled sum of the orbital angular momentum l, and the spin s. Unlike the atomic form, this effect is not due to an electromagnetic interaction, but a nucleon-nucleon interaction, and consequently has a much more dramatic effect.

The total effect of the potentials is shown in figure 2.4, and it can be seen that there are pronounced gaps at the points where the magic numbers of nucleons are filling the orbitals.

**Figure 2.4**: Theoretical nuclear level structure, labeled nlj, including spin-orbit perturbations and showing energy gaps at the magic numbers.

It is the assumption of the shell model that in nuclei with, for example, one additional proton or neutron outside the closed shell, the total angular momentum and parity of such a nucleus is simply that of the additional valence nucleon due to the Pauli blocking effect. eg. 178O has an additional neutron in the 1d state for which and = +1, thus we predict a ground state of, in agreement with experiment [54].

**99.81.5 Viswanath's constant and the collective unconscious (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: Viswanath's constant and the collective unconscious

Date: 06/15/03

MP:

The relationship between the Viswanath golden ratio constant....K = 1.13198.....Ê and Pi can be demonstrated as the gnomonic growth wiring function of the "collective unconscious" constant..(37*18 = 666). K equals the matrix derived solution constant of N'th degree that instantly derives order in a disordered cyclic system.....as follows:

( 666 ^Ê K )Ê/ 500 = Pi = 3.141592654

....or to isolate the "collective unconscious" constant:

666 = 37*18 = ( 500 * Pi ) ^ ( 1 / K )

...where K = 1.1319812464.....and actual K (Viswanath) equals

K(v) = 1.13198824....

This answers a question of a link to the Cheops pyramid that up till now had no link directly to the collective unconscious numbers of the 144/37 form. For it can be demonstrated that 1000 base legs of the Cheops pyramid divided by the height of Cheops pyramid is the Viswanath constant in disguise...as follows:

Let ht =486.256 ft..= height..( Churchward / Massey (1910 expedition)

Let bl = 763809.1387 ft...= base leg ..(Churchward / Massey = 763.81 ft)

( bl / ht ) ^ ( 1 / K ) = 37 * 18 = 666

The Viswanath constant...K.. , for the first time, links the Cheops ratio directly with the "collective unconscious" number constants of a mythological derivation (fine-structure constant through the collective unconscious ratio 144/37)....Hindu (yuga =108), Aztec (sacred Alautun number 2304), Christian (Book of Revelations 666 and 144), Islam (57 cyclic), Hebrew (288 sparks from broken vessels), Druid..(144 single light), Plato's cyclic (25920), Stonehenge (288 dia.), Sumerian (Inanna number 252)....etc.... religions with modern day visionary mystics such asÊ Leahy (82944) and R. Tomes (3456 *24), Divitry (12th century) 288 harmonic studies.....etc...the Viswanath constant is probably linked to Feigenbaum's constant somehow because of the order to disorder to order to disorder to order to.... infinity form of both constants....

J.Iuliano

Volume 155, Number 24 (June 12, 1999)

Source: Fibonacci at Random

**99.81.6 "37" and the Fermat form (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: "37" and the Fermat form

Date: 08/20/03

MP:

The miracle of the 37 form is by definition, its ability to holograph into various TOE equations as simultaneous equivalencies. This can be demonstrated by the Fermat Last Theorem forms....e^(Pi+8) and (1/57+1/37).... and their connections to TOE: e = natural log = 2.718281828...

...the first form is the cosine of fine-structure a dimensionless structure that is ,an electromagnetic reality: a(em) = fine-structure = 1/137.036000986..cosine in radians:

cos 1/a(em) = cos 137.036000986... = .367872975...

e ^ (((( e ^ (( Pi+8 ) / 2 ) / 10 ) ^ -3 ) + Pi ) / - Pi = .367872977...

...which is equivalent to Leahy's 82944 form:

( 82944 / ( 100 ^ Pi)) ^ ( 1/Pi ) = .367872976...

...which is holographed by the Fermat Last Theorem form...(1/57+1/37):

cos(( e ^ ( Pi + 7.999999815 )) * (( 1/57+1/37 ) ^ 2 ) = .367872969...

...as the modular , integer, n dimensioning of the Fermat last Theorem form..solution nodes..(2807 and 1579)... double periodic structure (torus) as shown by (e ^ i n):

cos(( e^((e ^(2*2807.00019038 /1579))/Pi ))* (( 1/57+1/37 )^2) =.367872995...

the non-cosine adjustment:

e^(((((e^((e^(2*2807.00019038/1579))/Pi /2))/10 )^ -3 )+Pi )/-Pi ) =.367872977

...compare these to the original holographic forms:

The deepest meaning of the 1/Pi..(1/3.141592654)..phenomena is as the supreme exponentational link to the "hard" constants of Nature:

FEIGENBAUM CONSTANT = 4.669201609...rule of order in chaotic systems

F= 4.6692043132.....tan in radians

100/(tan F).........................^ (1/Pi)] = 36.7872976 = K

GOLDEN MEAN = 1.618033989...rule of order in living forms systems

Phi = 1.618033989 = (1+sqrt5)/2...COS^-1 in degrees

[COS^-1[((sqrt 5 -1)/4)*1152]........^ (1/Pi) = 36.7872976 = K

FINE-STRUCTURE CONSTANT = a(em) =amplitude for an electron-photon exchange, rule of proton-electron interactions.

a(em) = 1/137.036000986...cos in radians

(cos 1/(a(em))*100.................................= 36.7872976 = K

COLLECTIVE UNCONSCIOUS = 82944 = (288^2)...rule of brain/nervous/systems/symbolic

Prof. Leahy =(82944 logic) and Sephira Malkuth=(288 sparks)

82944................................... ^ (1/Pi) = 36.7872976 = K

COLLECTIVE UNCONSCIOUS: Egyptian form, Cheops pyramid, Beta=.37

heightÊ = 486.256005976 feet = ht

base leg = 763.81 feet = bl...cos in radians

[cos [(10^(2*ht/bl))/(.37^2)]] * 100........= 36.7872976 = K

COLLECTIVE UNCONSCIOUS : Pi form... cos in radians

[[cos[(10^((2/Pi)+(2/Pi))]/(.370000606^2)]*100Ê = 36.7872976 = K

COLLECTIVE UNCONSCIOUS: Christian(666), Hebrew(288) form

cos in radians...

cos[(10^(287.999975988/37))/(666^2)]........= 36.7872976 = K

NATURES CHARGED MASSES: proton, positive; electron, negative

pmev = proton million electron volts = 938.271998 (NIST 1998)

emev = electron million electron volts = .5109994691

[(10*pmev)^[(1/Pi)*(emev^-(1/Pi))]]..........................= 36.7872976 = K

NATURES CHARGED MASSES: and the collective unconscious as the

electrons carrier

pmev = 938.271998

emev = .51100091734

pmev * (emev^2) / 6.66..............................= 36.7872976 = K

...the Fermat Last Theorem form ...e ^(Pi+8)... and the gravitational constant...G(n) = 6.6739 * (10^-11):

( e ^ (( Pi + 8.000080711 ) *2 ) * ( 666^2) * h * c / 2 / PiÊ = G(n)

...the connection of the two long range forces..electromagnetic..a(em) ...and gravitational..G(n):

( e ^ ( Pi + 7.999999815 )) * (( 1/57+1/37 ) ^2 ) / h / c / 2 / E * (ec^2) = 1

ec = elementary charge = 1.602176347 * (10^-19) C

E = electric constant = 8.854187818 * (10^-12)

h = Planck's constant = 6.626067864 * (10^-34)

c = speed of lightÊ = 299792458 m/s

...the strong nuclear force a(s)=14.. is reduced by...10^ (4/Pi)...Cheops geometric:

( e ^ (( Pi + 8.000006797 ) / 2 )) / ( 10 ^ (4/Pi )) = 14

...the weak force is "attached" to the proton = pmev = 938.271998...

G(w) = fermi-coupling charge = .0000116639..

Fm: ( e ^ ( Pi + 7.999790398 )) * ( G(w) ^ 2 ) * ( 10^8 ) = 938.271998

...the secret of 37...( the King of the integers ...Christ in Theomatics = 37 )...is its ability to holograph to various TOE equations without losing equivalencies as follows:

( e ^ ( Pi + 7.999981041 )) / 37 / ( G(w) ^2 ) / ( 10^ 11) = 1/a(em)

...and by changing 37 into Beta (.37)...the shifting of the scalars according to Leahy's concept of " thinking,NOW, created 100",

(e ^ ( Pi + 7.999981041 )) * .37 / ( G(w) ^ 2 ) / (10^13) = 10 ^ ( 4/Pi)

...37 acts as a mechanical like transmission device that "mathematically rubs" off the 10000 dimensional torus of the Fermat's Last Theorem form. However mathematical craziness happens here as 37 squared .....is also equivalent to the Cheops geometric:

137.036000986 * ( .37 ^ 2) = 10 ^ ( 4 / 3.141596158 ) =1/a(em)*(.37^2)

...this is supposed to be impossible, for it breaks all the rules as 37 crosses over the equality = function without losing equivalency, in other words a "field of restriction" is created...electrical field. Note how the two equations are exactly the same ,except when in transition 37 shrinks to Beta .37 ...(thinking NOW created 100)...and the scalar shrinks from 1/(10^11) to 1/(10^13)..(thinking NOW created 100)... This is the "mathematical rub" ..the"thinking NOW created 100"...that creates the electro/gravitational field.This seems to be what Rybo says as 10 is the main activator. The weak and strong nuclear forces..(short range).. can now be linked by the Cheops geometric...10^(4/Pi)

(e^((Pi+8.000006797/2))/[(e^(Pi+7.999981041))*.37/(G(w)^2)/(10^13)]=a(s)=14

...this is the first time that Beta...37... has been connected to the Fermat form...

J.Iuliano

**99.81.7 "37" and Mandelbrot set "center of gravity**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: "37" and Mandelbrot set "center of gravity".

Date: 09/11/03

MP:

In the world of fractals the Mandelbrot set is the complex plane ofÊ geometric origin whose shape and scale are defined by the feigenbaum constants , F(alpha)width =2.502907875.. and F(delta)length. = 4.669201609... . Mathematicians have determined through pixel coordinate geometry the "center of gravity" of the complex plane of the Mandelbrot set. This number using computers and plotting software was determined to be the number...( .2867682 ). A very accurate equation representing this number was discovered as a function ofÊ natural log e = 2.718281828.

(( IN 3 ) - ( 1/3 )) ^ 4.669201609.. = .286768263

...4.669201609..being the feigenbaum delta constant of length between bi-furcation junctions. A more accurate approximation of the "center of gravity" number has been discovered (Sept 2003) that uses the metric speed of light ..c = 299792458 m/sec : radius of the ground state hydrogen atom ...(.037pn )...and natural log e = 2.7187281828.., as follows:

IN ((( 1 / ( sqrt c )) + ( .037 * 18 )) * 2 ) = .286768287..

...this equation can be re-written to show the radius of the ground state hydrogen atom where e = natural log = 2.7187281828....

((( e ^ .286768287 ) / 2 ) - ( 1 / ( sqrt c ))) / 18 = .36999999..

...the collective unconscious number ...37*18 = 666... can be shown as

((( e ^ .286768287 ) / 2 ) - ( 1 / ( sqrt c )) = .666

....a primitive form of the collective unconscious constant... 144 / 37 = 3.891891...can be shown as:

.286748994 ^ ( - 1 / .286748994 ) = ( 10 ^ ( 144 / 37 )) / 100

..Is the master harmonic number...82944... in the equation ? Yes , through the natural log e, for it has been previously demonstrated:

(( 82944 + ( 403 / 88 )) ^ ( - 1 / Pi )) * 100 = 2.718281828...

...where ...403... is a collective unconscious constant 403 / 37 = 10.891891..

..the Mandelbrot "center of gravity" can be shown as:

(( 82944 + ( .108 / ( .286768287 ^ 3 ))) ^ ( - 1 / Pi )) * 100 = 2.7182818...

...108 is the ancient Hindu "time measuring stick" Kali-Yuga:

10800 / 37 = 291.891891 = collective unconscious constant

...the Kali-Yuga form ...108... is holographic in two ways to the fine-structure constant = a(em) = 1 / 137.036000986... , the amplitude for an electron to peel off of the ground state hydrogen atom.(radius = .037 pn) and transform into a photon:

((( sqrt ( 37 / 1.080008165 )) * 2 ) ^ 2 ) = 1/ a(em) = 137.036000986

...or in the collective unconscious form:

(( 10 ^ (( 10799.999988 / 37 ) - 288 )) / 666 ) ^ 2 = 1/a(em) = 137.036000986

Note the mythological references that, through collective unconscious numbers, "holograph" to three ancient religions in one equation:

10799.999988 = Kali-Yuga....Hindu

288 = 288 sparks in Yassidic creation mythology....Hebrew

666 = number of beast....Christian/Egyptian

37 = Christ number.....Messianic

a(em) = fine-structure constant =energy-light transformation constant

J.Iuliano

....reference; http://www.mrob.com/pub/muency/centerofgravity.html

The "center of gravity" of the Mandelbrot Set is the unique point P for which the double integral

/ 2 / 2

M(a+bi) (a+bi - P) dR dI

/a=-2 /b=-2

has value 0+0i, where M(x) is the membership function, defined as:

<< M(x) = 1, for all x in the Mandelbrot Set M(x) = 0, otherwise >>

The problem of locating this point is similar to that of calculating the area of the Mandelbrot Set, and most of the material in the area entry is relevant. Because the Mandelbrot Set is symmetrical around the real axis, the center of gravity has to be on the real axis, so its imaginary coordinate is 0. The pixel counting method gives the best known statistical estimate of the real coordinate, -0.2867683 +- 0.0000001. This is right about in the middle of the main cardioid, about halfway between seahorse valley and elephant valley. It has been proposed by many people that the area might have an exact value given by some simple analytical expression, giving its value in terms of other known constants and functions. While this is still uncertain for the area, the case for the center of gravity is looking good. The expression

<< (ln(3) - 1/3) Feig1 >>

where Feig1 is the first Feigenbaum constant, has the value 0.28676 82633 82935 02685 29586 ... and this is well within the error range for the current best guess of the center of gravity. From the Mandelbrot Set Glossary and Encyclopedia, © 1987-2003 Robert P. Munafo

**99.81.8 "37" and the Fermat form (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: "37" and the Fermat form

Date: 08/29/03

Carl Jung developed a quantum metaphor of consciousness based on a-causal (synchronistic) manifestations of mind-matter relationships. For Jung, consciousness demonstrated the indeterminate and participatory nature of the quantum domain through synchronistic events. The first sentence of Jung's book, Synchronicity, reads, "The discoveries of modern physics have, as we know, brought about a significant change in our scientific picture of the world, in that they have shattered the absolute validity of natural law and made it relative [1960, p.5]." Jung likened synchronistic events to, "coincidences" which were connected so meaningfully that their "chance" concurrence would represent a degree of improbability that would have to be expressed by an astronomical figure [1960, p.21]." He affirms the insignificant effects of space and time surrounding such events, and points out their numinous quality as experienced by the individual. Fascinating stories are presented in the first chapter of the book depicting the occurrence of events which exhibit seemingly impossible causal relationships that defy the limitations imposed by space and time.

Jung sees synchronicity as a psychically conditioned relativity of space and time [1960]. He asserts space and time to have a "precarious" existence which becomes "fixed" concepts in the course of mental development; "In themselves, space and time consist of nothing" [1960, p.20]. Due to this, he maintains space and time to be essentially psychic; thus, a-causal events are nothing other than the psyche observing itself.Ê In an experiment where a subject correctly guesses the order of 25 cards, Jung would have said this is a product of "pure imagination", which reveals the structure producing the event- the unconscious.Ê Jung continues on by stating that the archetypes constitute the structure of the collective unconscious which represents a psyche that is identical in all individuals. The individual's psyche is experienced; the "collective psyche", according to Jung, cannot be directly perceived or represented.Ê He termed the foundation of this "irrepresentable", collective psyche the "unus mundus", which is an indivisible continuum of "psychoid" events [course handout]. "Psychoid" is not meant to represent a psychic quality in the proper sense [Jung, 1959]; it means, "of the nature of both psyche and matter" [course handout]. As the realm of a-causal archetypes, the "unus mundus" lies below the quantum realm and the unconscious psyche [course handout].

Consciousness, as individual psyche, occasionally experiences synchronistic events which reveal interconnection. Uncertainty is also described as the nature of consciousness in that its deepest attributes ("unus mundus") are "irrepresentable" and impossible to know.Ê Indeterminacy is exhibited in a-causal events which Jung considered volitional, not random mishaps. Finally, we see the participant-observer metaphor displayed in the relationship between a person's psyche and the "unus mundus". While it is incorrect to equate Jung's "unus mundus" with the described nature of the quantum realm, the depicted characteristics of each do share fundamental similarities.

Rather than abandoning quantum physics and embracing phenomenology, another approach explores the quantum as consciousness. The philosophy of monistic idealism presented by Amit Goswami, and Arthur Young's reflexive universe, offers two additional approaches to consciousness via the quantum domain.

Unlike Goswami's model depicting consciousness as the fundamental reality, Arthur Young developed a cosmology demonstrating the possibility that quantum is consciousness; in particular the photon. Young regards the photon as being the essential reality. The unique characteristic of the photon needs to be understood in order to understand Young's cosmology. To begin with, the photon, or light quantum, is, "generally regarded as a discrete particle having zero mass, no electric charge, and an indefinitely long lifetime" [The American Heritage Dictionary]. It is beyond time, for the photon, having zero mass, travels at the speed of light; the speed at which time does not exist. Space is inconsequential for the photon; for regardless of the distance traveled it loses no energy. Since time is nonexistent for the photon distance is irrelevant. According to Young, the photon is pure action possessing complete freedom in all dimensions.

Process is the central idea in Young's cosmology. At the highest level, the photon exists as pure, unconstrained action (pure spirit). Next, it creates the dimension of time and nuclear particles (2nd level); followed by the creation of space and atoms (3rd level). At the fourth level the photon combines the previous three creations and creates the world of molecular matter. Then, the photon begins its ascent regaining degrees of freedom at each level. The ascent rises upward through matter, plants, animals, until it reaches the first level of pure spirit (consciousness) [de Quincey] [course handout].

Young sees the photon as the entry point for consciousness into the universe. The reason for this is that the photon's apparent uncertainty cannot be distinguished from the photon having freedom, choice, and/or freewill [de Quincey]. Young's conclusion that the photon pos .......

**99.81.9 Correction to Feigenbaum constants (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: Correction to Feigenbaum constants

Date: 09/11/03

MP:

Having found the link between the Feigenbaum delta constant... F(d) = 4.669201609..actual ) with physics (fine-structure constant..1/137.036000986) and mythological constants of the Hebrew/Leahy form ...82944 or 288^2, I was searching for the link to the Feigenbaum alpha constant...F(a) = 2.502907875.. when I discovered the following:

.....first is the Feigenbaum delta constant and 82944:

Let F(d) = 4.6692043132 = Feigenbaum delta constant...cos in radians

( 82944 ^ ( 1/Pi )) / 100 = .367872976 = cos 137.036000986..

...such that Feigenbaum delta's connection to fine-structure is shown as: tan in radians...

( tan F(d) ) ^Ê ( -1/Pi ) = .367872976 = cos 137.036000986

The link to the Feigenbaum alpha constant is also through the fine-structure constant and the mythological number 82944 or 288^2Ê, as follows:

.....let Feigenbaum alpha = F(a) = 2.502907875....exact

.....let fine- structure constant = 1/137.035996403

then it can be demonstrated:

((( cos 137.035996403 ) * 100 ) ^ F(a) ) * 10 = 82943.99979

...since cosine inverse fine-structure has been shown to be related to Feigenbaum delta then it can be demonstrated:

(((((cos137.035996403)*100 ) ^ F(a)) * 10 ) ^ (1/Pi) ) = (tan F(d))^(-1/Pi)*100

...both Feigenbaum constants ,alpha and delta, are now linked by one equation using the fine-structure constant. Interesting to note that Feigenbaum delta represents the length of the bifurcation harmonies while Feigenbaum alpha represents the width of the bifurcation harmonies as shown at this website:

http://www.mathsoft.com/mathresources/constants/wellknown/article/0,,2090,00.html

J.Iuliano

Also as an interesting side note , from the above article it states that the point marking the the division between the "periodic regime" and the "chaotic regime" for this family of quadratic functions is the number 3.5699..which is related to the two "universal" Feigenbaum constants alpha and delta. This number is the source of the bifurcation of the neutron energy as follows:

let neutron in million electron volts = nmev = 939.56533 mev..(1998 NIST)

...then it can be demonstrated:

( 939.56533mev / 10 ) ^ ( 1 / 3.5699 ) = 3.569900339

...or as :

10 * ( .35699 ^ 3.5699 ) = 939.5650118

The relationship to Cheops pyramid is that wherever you see 1/Pi in the formula it is the height to base leg ratio....486.2565483/763.81 = 2/Pi

J.Iuliano

**99.81.10 Leahy's dream number 2808 and the TOE equations (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: Leahy's dream number 2808 and the TOE equations

Date: 08/28/03

MP:

The idea of Leahy's paranormal dream concerning the number 2808, with his subsequent explanation relating to his Theory Of Everything,(TOE), was only proved as an amazing fact due to the restrictions allowed by only using the number...2808... and the triple logic cube area ...82944...Leahy knew these forms were important only because of their simplicity as in the recurrent , persistent, dream mode (Jungian type). Little did he know at the time ,but these exact numbers were holographically equivalent to 70% of the TOE values that need to be determined concerning the masses that make up Nature along with their coupling constants..the fine-structure constant (dimensionless), weak force , electronÊ and proton masses, with the force that binds them dynamically..Feigenbaum constant..F..the transcendental constant Pi, etc.,etc...The dream number 2808 begins it's relationship with 82944 as the angular representation of the fine-structure constant..a(em) = 1/137.036000986.. the amplitude for an electron to emit or absorb a photon ...(electromagnetism) holographically attached to the deep paranormal mysticism of ..(37*18) = 666.. which is from the trance of John of Patmos (recurring , persistent, dream mode, Jungian type ) of biblical Revelations and possibly of pre- Egyptian origins (Sumerian??) ...cos = cosine in radians:

( 82944 ^ 2 ) / 2808.00474044 / 6660000 = cos 137.036000986

...this equation immediately holographs to the masses of the interacting forces positive : proton...pmev = 938.271998 mev and negative:electron...emev = .510998902 mev ....(1998 NIST values) again through the paranormal trance number 666:..note how the electron is "charged" (squared) here:

(.5110009171 ^ 2 ) * 938.271998 / 666 = cos 137.036000986

....Pi, in perfect exponential form, is holographed into the equivalency through the area of Leahy's triple logic cube..82944...Pi eliminates the paranormal form..666:

( 82944 ^ Pi ) / 100 = cos 137.036000986

...the weak force, fermi-coupling charge = G(w) = .0000116639(2) Fm (1998 NIST) is derived, first from the first principles of matter, the positive and negative masses of Nature..electron and proton..with the Feigenbaum, chaos to order, charge..F = 4.669201609 ...exact..(dimensionless):

.5110009171 / 4.669201609 / 10 / 938.271998 = .00001166407585

...from this equation one can now show the equivalency combining all of the players:

G(w) = .0001166407485...

F = 4.669201609.....exact

pmev = 938.271998...exact

(( G(w) * F ) ^ 2) *( pmev ^ 3) * 2808.00474044 * (10^6) = 82944 ^ 2

..... the expression can now be substituted to show the connection between deep physical real entities..a(em) , G(w), F, pmev etc.... with the paranormal bridge number ...666..which now mathematically eliminates Leahy's dream number 2808 and 82944...:

(( G(w) * F ) ^ 2 ) * ( pmev ^ 3 ) / 6.66 = cos 137.036000986

.... What on earth is the proton energy cubed?? a cubed object??? How strange is that?? What is the paranormal bridge number 37*18 = 666 ??? Strangely, it can holographically eliminate the cosine functions of the fine-structure constant:

( 10 ^ ( 82943.9930846 / 666 / 32 )) / 666 = sqrt 137.036000986

....it can also do it to Leahy's dream number 2808 since it is a "collective unconscious" constant...:

( 10^ (( 2807.99998799 / 37 ) - 72 ))Ê / 666 = sqrt 137.036000986

....note that 72 has the mythological meaning of "half light" or 144/2 = 72...from this equation, using the bridge number..666... also appears the Platonic constant ..25920.. formerly misinterpreted as being Plato's association to the earths precession in years, not true, earths precession = 25850 years approximately...:

( 10 ^ ( 25919.99784 / 6660 )) / 666 = sqrt 137.036000986

...there is a Sumerian connection here for they are the inventors ?? of the scale of 360 degrees for the unit circle and this has a connection to the golden section..PHI..1.618033989.. through the cosine of fine-structure:..cosine in degrees:

((cos^-1(( 1.618033989 - 1 ) / 2 )) * 1152 ) ^ (1/Pi) = cos 137.036000986

.....82944 divided by 1152 = "half light" = 72

J.Iuliano

**99.81.11 Re: consciousness and the photon (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: Re: consciousness and the photon

Date: 08/29/03

MP:

According to physicists the electron-photon conversion is NOT a real entity but a mathematical construct of probability which was discovered by Richard Feynman in 1948...(won a Nobel prize for it's discovery).. Even though Feynman discovered the extremely complex formula( it takes thousands of pages of computer input to calculate to 9 decimals the dimensionless value of the fine-structure constant)he had no explanation for it . So what he discovered was a mathematical equation that uses probabilities (sums over histories) to calculate very accurately this dimensionless number ...1/137.036....He himself had no explanation for this (he thought, tongue in cheek, the hand of God pushed the pencil???) just as I have no clear explanation of why the form:

(82944^(1/Pi))/100 = cos 137.036000986...

...does the same thing with a one inch equation. Only difference is 82944 or 288 squared has an ancient legacy ("288 sparks....photons and electrons...from broken vessels"..a Hebrew genesis explanation couched in deep mythology) in history and in modern times ala Prof. Leahy's triple logic cube surface area of 288 squared and R.Tomes super harmonic numbers 34560 and 24... 82944/24 = 34560...among others. A coincidence ? Hardly...the "hand" of God does push the pencil!!!... the accuracy matches modern values....the odds are astronomical!!!

J.Iuliano

..this from one of Leahy's associates after I sent him the PHI (1.6180339..) equation

<< ( 10 ^ ( 25919.99784 / 6660 )) / 666Ê = sqrt 137.036000986

((cos^-1(( 1.618033989 - 1 ) / 2 )) * 1152 ) ^ (1/Pi) = cos 137.036000986 >>

I know you are not into gematria - but one thing that is striking about these two equations which derive 1/a is that

25920 and 1152

are the gematria of one clause from Genesis - the first clause of Genesis verse two

"And the Earth was formless and void"

"And the Earth was tohu wabohu"

The Rabbis call "tohu wabohu" the "foundation stones"

Using the traditional talmudic/rabbinic manner of summing the Hebrew text

VHARTz HIThH ThHV VBHV = 1152

and using Leahy's method of taking a rational product ( taking the quotient of the product of the odd letters of the words divided by the product of the even letters of the words )

V/H*A/R*Tz * H/I*Th/H * Th/H*V * V/B*H/V = 25920

Curiously, 25920 measures the length of one day of the earth measured in the traditional talmudic calendric unit of time - the Chalak or the Mina ( I forget which - corresponding to our second - 1 second = 3 chalakim/minim ) so that the rational product of the verse which states that the earth was formless and void ( although the etymology of tohu wabohu is more subtle in meaning ) equals the length of the revolution of a day of the earth measured in the minimum Hebrew unit of time.

- John

**99.81.12 "37" and the Fermat form (Iuliano)**

From: Jerryiuliano@aol.com

To: MetPhys@aol.com

Subject: "37" and the Fermat form

Date: 08/21/03

MP:

The miracle of the 37 form is by definition, its ability to holograph into various TOE equations as simultaneous equivalencies. This can be demonstrated by the Fermat Last Theorem forms....e^(Pi+8) and (1/57+1/37).... and their connections to TOE: e = natural log = 2.718281828...

...the first form is the cosine of fine-structure a dimensionless structure that is, an electromagnetic reality: a(em) = fine-structure = 1/137.036000986..cosine in radians:

cos 1/a(em) = cos 137.036000986... = .367872975...

e ^ (((( e ^ (( Pi+8 ) / 2 ) / 10 ) ^ -3 ) + Pi ) / - Pi = .367872977...

...which is equivalent to Leahy's 82944 form:

( 82944 / ( 100 ^ Pi)) ^ ( 1/Pi ) = .367872976...

...which is holographed by the Fermat Last Theorem form...(1/57+1/37):

cos(( e ^ ( Pi + 7.999999815 )) * (( 1/57+1/37 ) ^ 2 ) = .367872969...

...as the modular, integer, n dimensioning of the Fermat last Theorem form..solution nodes..(2807 and 1579)... double periodic structure (torus) as shown by (e ^ i n):

cos(( e^((e ^(2*2807.00019038 /1579))/Pi ))* (( 1/57+1/37 )^2) = .367872995..

...the non-cosine adjustment:

e^(((((e^((e^(2*2807.00019038/1579))/Pi /2))/10 )^ -3 )+Pi )/-Pi ) = .367872977

...compare these to the original holographic forms:

The deepest meaning of the 1/Pi..(1/3.141592654)..phenomena is as the supreme exponentational link to the "hard" constants of Nature:

FEIGENBAUM CONSTANT = 4.669201609...rule of order in chaotic systems

F= 4.6692043132.....tan in radians

100/(tan F).........................^ (1/Pi)] = 36.7872976 = K

GOLDEN MEAN = 1.618033989...rule of order in living forms systems

Phi = 1.618033989 = (1+sqrt5)/2...COS^-1 in degrees

[COS^-1[((sqrt 5 -1)/4)*1152]........^ (1/Pi) = 36.7872976 = K

FINE-STRUCTURE CONSTANT = a(em) =amplitude for an electron-photon exchange, rule of proton-electron interactions.

a(em) = 1/137.036000986...cos in radians

(cos 1/(a(em))*100.................................= 36.7872976 = K

COLLECTIVE UNCONSCIOUS = 82944 = (288^2)...rule of brain/nervous/systems/symbolic

Prof. Leahy = (82944 logic) and Sephira Malkuth=(288 sparks)

82944................................... ^ (1/Pi) = 36.7872976 = K

COLLECTIVE UNCONSCIOUS: Egyptian form, Cheops pyramid, Beta = .37

height = 486.256005976 feet = ht

base leg = 763.81 feet = bl...cos in radians

[cos [(10^(2*ht/bl))/(.37^2)]] * 100........= 36.7872976 = K

COLLECTIVE UNCONSCIOUS : Pi form... cos in radians

[[cos[(10^((2/Pi)+(2/Pi))]/(.370000606^2)]*100 = 36.7872976 = K

COLLECTIVE UNCONSCIOUS: Christian(666), Hebrew(288) form

cos in radians...

cos[(10^(287.999975988/37))/(666^2)]........= 36.7872976 = K

NATURES CHARGED MASSES: proton,positive; electron, negative

pmev = proton million electron volts = 938.271998 (NIST 1998)

emev = electron million electron volts = .5109994691

[(10*pmev)^[(1/Pi)*(emev^-(1/Pi))]]..........................= 36.7872976 = K

NATURES CHARGED MASSES: and the collective unconscious as the electrons carrier

pmev = 938.271998

emev = .51100091734

pmev * (emev^2) / 6.66..............................= 36.7872976 = K

...the Fermat Last Theorem form ...e ^(Pi+8)... and the gravitational constant...G(n) = 6.6739 * (10^-11):

( e ^ (( Pi + 8.000080711 ) *2 ) * ( 666^2) * h * c / 2 / Pi = G(n)

...the connection of the two long range forces..electromagnetic..a(em) ...and gravitational..G(n):

( e ^ ( Pi + 7.999999815 )) * (( 1/57+1/37 ) ^2 ) / h / c / 2 / E * (ec^2) = 1

ec = elementary charge = 1.602176347 * (10^-19) C

E = electric constant = 8.854187818 * (10^-12)

h = Planck's constant = 6.626067864 * (10^-34)

c = speed of light = 299792458 m/s

...the strong nuclear force a(s)=14.. is reduced by...10^ (4/Pi)...Cheops geometric:

( e ^ (( Pi + 8.000006797 ) / 2 )) / ( 10 ^ (4/Pi )) = 14

...the weak force is "attached" to the proton = pmev = 938.271998...

G(w) = fermi-coupling charge = .0000116639.. Fm:

( e ^ ( Pi + 7.999790398 )) * ( G(w) ^ 2 ) * ( 10^8 ) = 938.271998

...the secret of 37...( the King of the integers ...Christ in Theomatics = 37 )...is its ability to holograph to various TOE equations without losing equivalencies as follows:

( e ^ ( Pi + 7.999981041 )) / 37 / ( G(w) ^2 ) / ( 10^ 11) = 1/a(em)

...and by changing 37 into Beta (.37)...the shifting of the scalars according to Leahy's concept of " thinking, NOW, created 100",

(e ^ ( Pi + 7.999981041 )) * .37 / ( G(w) ^ 2 ) / (10^13) = 10 ^ ( 4/Pi)

...37 acts as a mechanical like transmission device that "mathematically rubs" off the 10000 dimensional torus of the Fermat's Last Theorem form. However mathematical craziness happens here as 37 squared .....is also equivalent to the Cheops geometric:

137.036000986 * ( .37 ^ 2) = 10 ^ ( 4 / 3.141596158 ) =1/a(em)*(.37^2)

...this is supposed to be impossible, for it breaks all the rules as 37 crosses over the equality = function without losing equivalency, in other words a "field of restriction" is created...electrical field. Note how the two equations are exactly the same ,except when in transition 37 shrinks to Beta .37 ...(thinking NOW created 100)...and the scalar shrinks from 1/(10^11) to 1/(10^13)..(thinking NOW created 100)... This is the "mathematical rub" ..the "thinking NOW created 100"...that creates the electro/gravitational field. This seems to be what Rybo says as 10 is the main activator. The weak and strong nuclear forces..(short range).. can now be linked by the Cheops geometric...10^(4/Pi)

(e^((Pi+8.000006797/2))/[(e^(Pi+7.999981041))*.37/(G(w)^2)/(10^13)]=a(s)=14

...this is the first time that Beta...37... has been connected to the Fermat form...

J.Iuliano

© Copyright. Robert Grace. 2003