grace, robert - space patterns

8/6/2019 Grace, Robert - Space Patterns

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.1 The Spiral Pattern in Interplanetary Space

.2 Diagram. The I-Ching Superimposed upon Curved Space Magazine: Scientific American Mar88, pg. 48 (1/2 toroid only)

ote: This diagram is an integration of the space curvature of the theory of general relativity,

perimposed upon by Ben Franklins 8 x 8 Magic Square matrix (Magic Squares, 511. An 27 sub.2),mmonly known as the I-Ching or Ye-King. The reasons for doing this is based upon sciencesstulates that space must have an intrinsic order and the universe / sun / earth interactions must be basedon this same order. The I-Ching, being a 13 x 20 grid should also reflect the toroidal shape of thector equilibrium-13 ball-this side / other side-4D-gravity spheres.)

Copyright. Robert Grace. 1999.

.3 Magic Squares and Space

quote from the end of the Chapter: "In the spirit of the great master whom we have just quoted we maympare the physical universe to an immense magic square. Isolated investigators in different areas havescovered here and there a few seemingly restricted laws, and paying no regard to the territory beyondeir confines, are as yet oblivious of the great pervading and unifying Bond which connects the scatteredrts and binds them into one harmonious system".

ote: This is the gist of the following numbers and the whole of universe):

"The number 729",

.4 Numbers 3, 5, 9,13, 27, 35, 81,and 243

"is found to be of great importance all through the Pythagorean system. Plutarch states that this was thember belonging to the sun, just as 243 was ascribed to Venus, 81 to Mercury, 27 to the moon, 9 to therth, and 3 to Antichthon (the earth opposite to ours). These and many similar numbers were derivedom one of the progressions of the Tetractys,- 1 : 2 :: 4 : 8 and 1 : 3 :: 9 : 27. The figures of the aboveoportions were combined by Plato into one series, 1(apex), 2, 3, 4, 9, 8, 27...Plutarch in his 'Procreationthe Soul', which is simply a commentary upon Plato's "Timaeus", has represented the numbers in therm of a triangle; the interior numbers 5 (between 2 and 3), 13 (between 4 and 9) and 35 (between 8 and) , representing the sums of the opposite pairs, were also of great importance":

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"Numbers which expressed some astronomical fact also held high places of honor, as may be seen fromtatement of Plutarch... in reference to the Tetractys. "Now the final member of the series, which is 27,s this peculiarity, that it is equal to the sum of the preceding numbers (1+2+4+9+8); it also representse periodical number of days in which the moon completes her monthly course; the Pythagoreans haveade it the tone of all their harmonic intervals".

.6 Diagram. The 27 x 27 Magic Square Book: Magic Squares

his passage indicates sufficiently the supreme importance of the number 27. If we construct a magicuare 27 x 27 upon the plan of a checker-board- arranging the numbers 1 to 729 first in numerical order,en shifting the 9 largest squares (9 x 9) into the positions indicated in the familiar 3 x 3 square,peating the process with the subdivisions of the 9 x 9 squares and so on down- we will arrive at thellowing combination. It will be noted that we have 365 white squares or days and 365 dark squares orghts- a veritable "checker-board of nights and days". The number 365, the days of a solar year, verypropriately occupies the centre of the system. The columns, horizontals, and diagonals of the centraluare 3 x 3 foot up 1095, or the days of a 3 year period, those of the larger center square 9 x 9 foot up85 the days of a 9 year period, while those of the entire combination 27 x 27 foot up 9855, the days of

27 year period, in other words, periods of years corresponding to the Tetractys 1, 3, 9, 27"...

otnote on number 9855: "Not only the perpendiculars, horizontals, and diagonals of this large squareot up 9855, but there are an almost indefinite number of zig-zag lines, which give the same footing".

.7 The Solution to a Greek Mathematical Problem :

y taking a hint from our magic square and starting with the number 27, I, (the text author whose Greek xt is omitted), believe we may arrive at a good solution of the problem as any that I have seenggested. The following interpretation of the Greek terms is offered":

terpretation: "the square of the number times its root" . Mathematics: 27^2 x 3sq.rt27 = 2187

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ncreased by thrice the first terms (of the Tetractys). Mathematics: (1+2+3+4+9) x 3 = 57

nd four times the whole series". Mathematics (1+2+3+4+9+8+27) x 4 = 216

f number unlike yet bearing the same ratio whether increasing or decreasing". Mathematics:scending figures of the triangle 8, 4, 2, 1, 3, 9, 27).

makes the sum commensurable and expressible in all its parts". Mathematics: sum = 2460 (i.e 2460 is


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sily divisible by 1, 2, 3, 4, 5, 6, 10, 12, etc).

his sum increased by 1/3"

nd adding 5", "is multiplied by 3". Mathematics: 2460 x 1 1/3 = 3280, 3280 + 5 = 3285, 3285 x 3 =55".

his solution of the problem, 9855, it will be noted, brings us again but by a different route to the magicmber of our large square. The second part of the passage contains a description of the number by

hich the above calculation may be verified":

he number) yields two harmonic parts",

ne of which is a square", Mathematics: 3 x 3 = 9

multiplied by 100" Mathematics: 9 x 100 = 900

he other has one side equal to the square" Mathematics: 3

nd the other oblong" Mathematics: 3 x 2985 = 8955, Sum = 9855

he remainder of the passage describes the length of the oblong which we have shown above to be85":

he oblong) is 100 times the side of a rectangle having diagonals of 5" Mathematics: 100 x 3 = 300

e having sides of 3 and 4).

ess of one each of the expressible parts, i.e., 4 and 5"

nd 2 of the inexpressible" Mathematics: 300-(5+4+3+3) = 285

lus 100 times the cube of 3" Mathematics: (3)^3 x 100 = 2700 Sum = 2985

n a treatise by Timaeus the Locrian upon the 'Soul of the World and Nature'...he..made 384 the first of ities...and the double and triple..all their terms, with their compliments and eights must amount to4,695".

lato's account of the combination of the soul is very similar to the above, though he seems to havelected 192, (384 / 2) for the first number. Plutarch in his commentary makes no mention of Timaeus,t states that Crantor was the first to select 384, for the reason that it represented the product of 8^2 x 6,


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d is the lowest number which can be taken for the increase by eights without leaving fractions. Anotherry possible reason, which I have not seen mentioned, is that 384 is the harmonic of 27^2 / 2 or 364.5, amber which expresses very closely the days of the year":

3 : 256 :: 364.5 : 384

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uote: "A periodicity in the cycle of eclipses was noticed by ancient Greek astronomers. Its duration is85.32 days (or 18 years and 10.3 days)...

ote: (6561), not 6563 happens to be the numerator of the fraction of the hydrogen atom, which, whenvided by exactly 18 = 364.5, the number of days in the year. This numerator 6563 (6561) is also aayan Super-number orbital frequency in the Balmer Series of orbitals. It is also found in the File "2eely"

he proportion 243 : 256 (3^5 : 4^4) was employed by the Pythagoreans to mark the ratio which twoequal semitones of the harmonic scale bear to one another.

atteaux has calculated the 36 terms of the Pythagorean scale starting with 384 and his series must bensidered correct, for it fulfills the conditions specified in Timaeus, the numbers all footing up 114,695.

e File, "72 Proportion"

few of the numbers of this harmonic scale marking the 'first unity' and several of the semitones will beven.

Note NumberDivisions of 36

1st Octave

E 384 1

C 486 3

F 729 7

C 97210

2nd Octave

F 1458 14
http://d%7C/Sacred%20Geometry%23%23%23/26keely.html#26.5http://d%7C/Sacred%20Geometry%23%23%23/26keely.html#26.5http://d%7C/Sacred%20Geometry%23%23%23/72proportion.html#72.18http://d%7C/Sacred%20Geometry%23%23%23/72proportion.html#72.18http://d%7C/Sacred%20Geometry%23%23%23/26keely.html#26.5http://d%7C/Sacred%20Geometry%23%23%23/26keely.html#26.5


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C 194417

3rd Octave

B flat 2187 19

B flat 437426

4th Octave

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y referring to our magic square, it will be noted that the first of unities, 384, constitutes the magicmber of the small 3 x 3 square beginning with the number 100. If we arrange the magic numbers of thesquares (3 x 3) in the order of their magnitudes we find that they fall into 9 series of 9 number, each

ries beginning as follows:

I II III IV V VI VII VIII IX

87 330 573 816 1059 1392 1545 1788 2031

he intervals between these series are worthy of note.

etween I and II 243, the first member of ratio 243 : 256.etween I and III 486, C of the 1st octave.etween I and IV 729, F of the 1st octave.etween I and V 972, C of the 2nd octave.etween I and VII 1458, F of the 2nd octave.etween I and IX 1944, C of the 3rd octave.

we arrange the magic number of the large squares (9 x 9) in the same way, it will be found that theyl into 3 series of 3 numbers, each series beginning:

..............................II..................................III17..........................3204..............................5391


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terval between I and II = 2187, B-flat of the 3rd octave.terval between I and III = 4374, B-flat of the 4th octave.ee 2187 (3rd) and 4374 (4th octave) above).

nd, (the author finishes), "as Plato once was supposed to have said about all the other sciences and howey should be studied in their "mutual relationships that we may learn the nature of the bond whichites them". "For only then", he states, "will a pursuit of them have a value for our object, and the labor,

hich otherwise might prove fruitless, be well bestowed".

agic Squares1. An 27 sub. 2

_________________________________

pdate- 3/21/02 : Evidence: The Sun as a 27 x 27 Magic Square, courtesy of [email protected])

lar Logos and Helioseismology Depicted in Crop Circle Formations By Kris Sherwood

g. 3 - 'Solar Logos' Crop Circle Formation, Etchilhampton, Wiltshire, UK 1990

he part of the1997 Etchilhampton formation that consisted of a gridded square inscribed by a circlen also can be read as a Magic Square of the Sun. The classic 'Magic Square of 729' is a square dividedto a 27x27 cube, contains numbered squares that amazingly add up to 365 in any horizontal, vertical, or

agonal line across the square. (365 also happens to be the numeric equivalent of the name Mithras.)ef. 4) In another remarkable synchronicity of numbers, the Sun fully rotates once every 27 days! Thechilhampton Sun Square had a 'two-over' number present in its geometry, which reminded me of thee of 'coda's, or pairs of extra circles similar to musical repeat marks, that I also observed in theometry of the Julia Set and Windmill Hill formations of 1996 (Ref. 5). The two 'extra' small circles ine symmetry seeming like an intended irregularity pointing to possibly an unusual aspect, or indicating apeat' of a sequence. This 'extra circle' feature has also been seen in other formations as well, such ase 'Strange Attractor' of 1997, the 1997 Snowflake fractals, etc. The '729 Sun Square' is depicted as auare of 27x27, equaling 729 individual squares that comprise the 729 days and nights of a 365 day

lar year (each two squares representing a 24 hour day and night) (Ref. 6). The Etchilhampton Magicuare of the Sun is irregular in a number of ways. It is divided into a grid of squares of 26x29 (notcluding tramlines), which seems to imply it is not a usual year it refers to. In a curious contortion of mbers, the additional 25 squares that total the formation's 754 squares can be seen to indicate 12 1/2ys in addition to the 365 day year of a typical Magic Square of The Sun year. The formation was firstscovered on the 30th of July: projected one year and 12 &1/2 days ahead from that date would indicateugust 11, 1998. A coincidental 'pre-anniversary' indicating, with a pre-date by one year, to the date of ugust 11, 1999, and the Great Total Solar Eclipse across Southern England and Europe? Stretching thisbit further to include the 'repeat' indication in its numbers, one could infer it was even pointing ahead
http://www.cropcircleanswers.com/dexsol_article.htmhttp://www.cropcircleanswers.com/dexsol_article.htm


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other year to the actual date of the Eclipse. (The fantastic formations that appeared in 1999 had a lot towith the Millennium ending Eclipse as well, but that's for another couple articles Ed and I have yet toease.)"

.14 The Mayan Tzolkin As Space Structure

his study comes from Jose Arguelles book, The Mayan Factor, and develops into a toroidal close-cked structure of space as follows:

e know that light comes from the sun into earth. We know this light has life properties, it sustains life.e also know that gravity is what the sun, only, is the source of. Light and gravity are what earth uses to

ve. The question is this:

ow does the binary wave of light and life traverse the Tzolkin Calendar of the Mayans, the Life beinge I-Ching, The Code of Life, embedded into the Tzolkin, which is the Code of Light.

.15 Diagram. The 2 Mayan Tzolkin Spiral Paths

this diagram of the Tzolkin we see the opposing direction of the 2 paths. One path is called "Past toture" and the other is called "Future to Past", opposite and inverted.. The 2 dots (.) not only indicate

e binary nature of nature but also shows the binary twisting path it takes through the Tzolkin. 8 has an

ual and opposite 8, but both 8's have different magic square values. We, at present, happen to beiting the very last bactun, lower right 8, on the spiraling curve called "Past to Future". This means thate perceive history from past to future, of course. The question, now is, what direction does the arrow of st to future point, as we exit this Tzolkin and , either, enter it again elsewhere, or, enter another Tzolkinace pattern adjoining this present one?

we place 4 new Tzolkins around this present one, theorizing that space is a tapestry of Tzolkin shapes,ssibly in the form of toroidal spheres making up the fabric of space, which we are influenced by, we

nd in all arrangement, that the "Past to Future history line changes into an opposite arrow indicating the

posite or "Future to Past" Arguelles calls this, not history, but christory.

2D flat view of 4 Tzolkins is illustrated in the following Diagram.

he 2 dots (.) also indicate the approximate position of at least 2 spiraling waves coming from andveling to, the Sun (imagine the Sun behind the Diagram) and into the earth (imagine the earth being

st in front of your eyes). These waves order our Past to Future reality and the Future to Past reality nowperimposing upon our time perceptions we are used to, give us visions of future flying technology,


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ange beings, strange phenomena and all the rest... I believe the future is imposing upon this dimensioneady. More over, we should ask the question:

oes this wave move from 1 to 2, within the same Tzolkin, or 1 to 4 of another Tzolkin adjoining?

.16 Diagram. 4 Tzolkins representing the Fabric of Space

agram edges can be connected top to bottom, each one, and side to side by distorting the square (1 of until it finally looks like a sphere or toroid because of the Tzolkin 7th column with represents the

roidal center or hole, and mirrors the 6 columns on each side therefore the sphere becomes a torus.herefore the Tzolkin between the Sun and earth is time-in-space in the shape of a torus.

his is what 4 torus shapes might look like in space, in a square arrangement, but they don't have theosest-packing characteristics of like spheres:

.17 Diagram. A Square Group of 4 Toroidal Shapes

ts rearrange the toroidal shapes and add more to show the closest-packing of Buckminster Fuller:

.18 Diagram. Close-packed Toroidal Space

ow there is every other toroid of like motion and polarity, that is, matters electrodynamics of live,ergy / consciousness, is traveling up through the center or down through the center of the toroid,

elatively speaking) in opposite spiral paths, according to Rodin's explanations, alternately indicated by

or -. Since any adjacent toroid is moving opposite its neighbor, (as space is said to be... expanding),ere is repulsion from that neighboring toroid, which keeps each one intact. This implies a vortexuralace.

hether space has a curved flat-like Tzolkin between earth and Sun, Sun and Galaxy Core or space-olkin shapes are toroidal spheres making up space is a question to be studied. The point is this:

ace is not an empty medium. Space is a hidden order that perpetuates life. This toroidal structure ishy space is curved intrinsically which means space is not curved by gravity. How can gravity curve

ace when there is no gravity in space to curve it?

he following Diagram is a big picture of the possible hidden order of space:

.19 Diagram. Metagalaxy. Possible Hidden Order of Space

his Diagram described in words is as follows: One-half of a Metagalactic spiral is shown to contain aegagalactic core trillions of miles from the Metagalactic core. Farther out, we arrive at our Galactic


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re, and further still we arrive at Sun, earth and several concentric circles representing the human inneryche and outer 'brain mind', the end of the line in the connections. Upon this huge structure is imposedagic Squares of various size. These Magic Squares curve through space, following the intrinsic curvetoroidal space, through each core center and out into space again. There is an Incoming From Source

Metagalaxy) side of various Magic Squares, beginning at Meta and traveling to 'human brain', and therea Return to Source side of various Magic Squares, beginning from the 'human brain' and traveling toe Metagalaxy core. There are two interweaving sinewaves curving from Metagalaxy down through

ch core into 'human brain'. This represents the harmonics concerning the musical universe.

otes in the Diagram are as follows:

Tzolkin = fractal = inversion = the mirror = the wave function (the mental side of the electron) =the division between time and space.

All Tzolkins are curved upon distorted space.

The "cosmic eye or lens" is the centers of the sun and galaxies within even larger galaxies.

The universe we can detect is a mere tiny circle within this unfathomably huge structure farbeyond our ability to see it.

.20 The Magic Square order Incoming From Source : This pertains to I-Ching only, not theolkins in which they are embedded.

his ordering implies that universe was an extremely simple beginning, hence, the 2 x 2 magic square.his ordering may be the Involutionary side of life (the descent of Spirit to matter).

x 2 Magic Square, 2^1 I-Ching- Metagalaxyx 4 magic Square, 2^2 I-Ching- Megagalaxyx 8 Magic Square, 2^3 I-Ching- Galaxy. (This I-Ching we know of within a Tzolkin of 260 Magicuares).x 16 Magic Square, 2^4 I-Ching- The Sun. (This I-Ching, I theorize, is within a Tzolkin of 1040

agic Squares).

x 32 magic Square, 2^5 I-Ching- The Earthx 64 Magic Square, 2^6 I-Ching- Inner Human Psyche.8 x 128 Magic Square, 2^7 I-Ching- Outer Human Brain.

his ordering is added to imply the inverse of the descent of Spirit (largest Magic Square) to matter.atter feels it is connected to something "higher". This ordering may be the Evolutionary side of life (thee of matter to Spirit).

.21 The Magic Square Order Returning To Source :


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x 2 Magic Square, 2^1 I-Ching- Outer Human Brain.x 4 Magic Square, 2^2 I-Ching- Inner Human Psyche.x 8 Magic Square, 2^3 I-Ching- The Earth.

x 16 Magic Square, 2^4 I-Ching- The Sun.x 32 Magic Square, 2^5 I-Ching- Galaxy.x 64 Magic Square, 2^6 I-Ching- Megagalaxy.

8 x 128 Magic Square, 2^7 I-Ching- Metagalaxy.

.22 Trinary Logic : The Cube.

you can't find answers in the Binary logic of planar 2D grids as above lets scrap it and move to theinary logic of the Torah codes. The following is a short quote from:

rah Codes by Manuel Colunga-Hernandez.

rst cubing the number: 304,805.

doesn't cube into a single entity, it cubes into five cubes with a minimal of three remaindered letters.ather than going large to small I went from the lst three letters to the largest cube. How this came to medo it this way, was purely inspiration and coincidental. I met a friend one night while in town wescussed my work with the codes. She asked if I had seen the movie "Contact" I replied I had not. Sheen told me about how the characters had uncovered a message from a radio signal that was found to beree dimensional... and said, "Manny you should see if you can't find something in three dimensionalrm!" I then told her it had been on me for about a week to do so,.. I then began. With the help of myfe and a VRML program I was able to plot out a visual set of cubes, along with hard copy versions ineet form. I am working on converting the first three cubes into their numerical forms at this time...

he cubes work out as follows:

he lst three letters followed by a cube of 27 letters (3^3) a cube of 125 letters (5^3) a cube of 512 letters^3) a cube of 3375 letters (15^3) and finally a cube of 300,763 letters (67^3). The '8' cube is a curiosityand of itself... more on this later. The cubes follow the textual rendering. And go from remainder on

e right to largest on the left in the fashion of written Hebrew".

ote: Is creations progression, not a binary 2, 4, 8, 16, 32, 64 but a 3D solid (Magic Cube) progression27, 125, 512, 3375 and 300,763? Or is this arrangement telling us that the progression is a cubicogression of 3, 5, 8, 15 (actually 13) of the Fibonacci Series?).

ore on Trinary logic in The New Universal Consciousness by D. G. Leahy pertaining to theathematics of universe, Hebrew letters and quantum physics.
http://www.mysteriousuniverse.com/submit/torah.htmlhttp://www.dgleahy.com/http://www.dgleahy.com/http://www.mysteriousuniverse.com/submit/torah.html


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Copyright. Robert Grace. 1999

grace, robert - space patterns

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