Le nombre 666 aboutit donc au même résultat, 153 le nombre Christique Victorieux par excellence, symbole de résurrection car tout conduit et ramène au NOM Unique qui a été donné aux hommes.

Autre particularité: ce type de calcul à partir de tout nombre inférieur à 2000 peut faire apparaître en cours de processus un nombre supérieur au nombre étudié. Ainsi le nombre 99 donnera:

Dans cet exemple, le nombre intermédiaire 1458 est supérieur au nombre de départ 99. Et pour tout nombre supérieur à 2000, on aura par exemple:

Ou:

A partir du nombre 2000, le résultat intermédiaire est toujours inférieur au nombre traité de départ. Cette particularité donne donc une valeur particulière de transition pour l'An 2000 par exemple, pour s'attacher plus spécifiquement à l'actualité des temps que nous vivons. Tous les nombres divisibles par 3 et inférieurs à 2000 obéissent à cette caractéristique. Ils sont au nombre exact de 666!

L'addition des nombres de 1 à 2000 donne 2001.000, c'est à dire 2001 x 1000.

Cette valeur de transition était dans l'air en 1989 avec la chute du mur de Berlin un 9 Novembre ou 9/11... ("victoire" sur le Communisme faussement attribuée par les marioltres à "La Vierge Marie" dans le cadre des messages de Fatima. Maristes contre Marxistes, même combat, celui de Satan qui singe...!) dont on a fêté le dixième anniversaire, le 3 octobre 1999.

En effet le nombre 153 multiplié par 13, le nombre de la rébellion, donne 1989 et 1989 peut se décomposer en 3 nombres triangulaires :

153 + 153 + 360 + 666 + 666

Si 133 minutes valent 2h13, le 213^e jour d'une année bissextile est à 153 de la fin de cette année ou constitue le jour [+213/-153] d'une année normale.

Pentagramme et chapelet

— Document personnel — pas de copyright —

 http://www.bibleetnombres.online.fr/nombr153.htm

The Bible begins with these words, "In the beginning God created the heaven and the earth." Who is this God, the Creator of Genesis 1:1? Can we find His signature in the opening verse of the Bible, the book He wrote?

The answer is an emphatic YES. Although the name JESUS is not found among the seven Hebrew words of the first scripture, He is hidden there in more ways than one. The author of creation chose the enigmatic number 37 to sign His Name with. Why this number? We may have to ask Jesus one day when we see Him in glory.

Bible numericists have long known that the total Hebrew gematria of Genesis 1:1 -- 2701 -- is the product of 37 and its digital reflection, 73; not many are aware that it is also the 37th hexagon as well as the 73rd triangle (link).

What set me on an exciting path of discovery was a post I read at the Bible Wheel Forum by Frank Colijn (link):

The Creation number 2701 can be expressed as the triangle of 73. The center of gravity is 1201, counted from the top of that triangle. The imperfect world expressed by word 6 and 7, has the number value 407+296=703, which is the triangle of 37. The center of gravity of this triangle is 313. The distance between those two centers is 1201-313=888, the number of Jesus.

The post inspired me to look for Jesus in the Creation Triangle. What a journey it has been for me! If you are a believer, I hope you will enjoy the study as much as I did. If you are a non-believer, it is my sincere hope that you will find Jesus, the Creator, who has left an unmistakable trace of Himself in the Big Bang scripture.

It is entirely possible that the Greek gematria of the name JESUS, 888, just happens to be the distance between the centers of gravity of the 37th and 73rd triangles in the Creation Triangle. But, what if we can find another instance of the same phenomenon?

The red dot above occupies the center spot (not the same as the center of gravity). It is at the center of row 37 (the middle row) and column 73 (the middle column). Both the middle row and column consist of 37 counters each!

This center spot is HUGE in terms of breaking the JESUS code. Its horizontal count from the base is 2017, the composite (non-prime) order of 2368 -- the Greek gematria of JESUS CHRIST! Its vertical count from either corner at the base is 1351, the median (middle number) of the big triangle total, 2701. The sum of both countings is 2017+1351 = 3368, the Greek gematria of LORD JESUS CHRIST (LJC)!

The LJC center is right in the middle of the two centers of gravity that reveal JESUS (888).

The two signatures of the Creator, 888 and 3368, appear to be encoded using the number 37 and its mirror 73. Intriguing number patterns seem to form about the LJC center; they authenticate that Jesus is the Lord God who created everything.

As we move away from the center along the vertical axis, it is increasingly clear that JESUS is the Intelligent Designer of the Creation Triangle:

 

The seven points, h1 to h7, are evenly distributed on the vertical axis; each adjacent pair is spaced seven counters apart. With each recession away from the Lord Jesus Christ center, the number 888, Jesus, is added to the distance between each pair of points!

h5 - h3 = 1201 - 313 = 888 (Frank Colijn's observation)
h6 - h2 = 1861 - 85   = 888 + 888
h7 - h1 = 2665 - 1     = 888 + 888 + 888

Even the ordinal values of these three pairs of points, when combined as 3-digit numbers, add up to 888 (567+321).

Mathematically inclined readers may observe that by subtracting 37 from the Genesis 1:1 total, 2701, the difference of 2664 is simply 888+888+888. Does this explain away the enigma and reduce the mystery to mere arithmetic? Even if we grant that as a coincidence, there remains the intriguing middle of middles (middle of the middle row and middle of the middle column) -- the LJC center, to contend with.

And we have only just begun.

In the course of my investigation, I found the Lord Jesus Christ in a rhombus within the big triangle. It stumped me a while before the Lord showed me a fuller design that involves three rhombi.

I first noticed that the diagonals of the above rhombus add up to Lord Jesus Christ: 3368=667+2701 and 3368=703+2665. The bonus to this discovery is that there are 37 pairs of points on the rhombus that add to the Lord Jesus Christ! These 37 pairs are formed by joining the 37 counters of row 37 with the 37 counters of row 73. This special rhombus is stamped with the Number of God, 37 (link), for the four sides and two diagonals are each 37 counters in length and its total is 37 x 37 counters!

Design is clearly evident and undoubtedly undeniable in all these instances!

The above counting is done from left to right horizontally. Counting in the reverse direction results in another rhombus that is the mirror image of the first, with the 'hour-glass' pattern tilted to the left. Symmetry demands that there be a rhombus at the center which also conceals 37 pairs of points that add to the Lord Jesus Christ. The center rhombus materializes only if we count the vertical diagonal vertically and the horizontal diagonal horizontally.

In the diagram above, the red dots are vertical counters and the blue dots are horizontal counters; both are counted from the base. This is unlike the two base rhombi where the counting is done horizontally starting from the apex of the big triangle. Notice that the LJC center belongs to this set, at the center of the rhombus. As before, there is an 'hour-glass' pattern and it is also skewed. What do we make of the three skewed hour-glasses each consisting of 37 pairs of counters that add to the Lord Jesus Christ?

Out of curiosity, I put the three patterns together to see if I could detect an overaching theme. Boy, was I 'surprised by joy', borrowing a phrase from C.S. Lewis! The 'hour-glass' could easily be taken as the digit '8' or the infinity symbol, ∞. Viewed in this light, JESUS, as represented by His number, 888, appears miraculously in the Creation Triangle.

The three hour-glasses, each 37 times LORD JESUS CHRIST (3368), form the number pattern 888, JESUS. Each individual Creation Triangle above is also a representation of 888 -- two interlocking digits 8 in the rhombus (dark green colored hour-glass and its mirror image in dark gray color) and a less obvious outer digit 8 formed by the remaining two triangles in light gray color. Thus, we have a triplet of hour-glasses that resemble the numeric pattern '888'. Without a doubt, the design is worthy of the Master Himself. The cross is high and lifted up in the middle, underscoring its centrality to the redemption of creation.

 

The Enigmatic Number 37

The number 37 appears to be the invisible ink with which the Creater signs His Name; look for the number 37 and there you will find Him. Observe this revealing step: Remove the middle row, row 37 (consisting of 37 counters) from the big triangle: the remainder is 888+888+888, the JESUS triplet. Suppose we divide the big triangle into three equal smaller 'side' triangles. The only way this can be done is by drawing three lines joining the vertices of the big triangle to its center of gravity. Repeat the same procedure by removing 37 counters in the middle row from the small side triangle. This time the remainder is 925 - 37 = 888, JESUS! If you are able to accept it, the total of the side triangle, 925, is the English gematria of JESUS CHRIST! (see link)

The 37 counters that are removed occupy precisely the middle row of the small triangle -- a parallel to the big triangle. Thus, the removal of 37 counters from the big and small triangles reveals JESUS, collectively as a triplet in the former and individually in the latter.

The three small side triangles create a 3-dimensional (3D) effect on the big triangle so that it looks like a triangular pyramid.

The pattern above has JESUS all over it. From the apex of the pyramid (previously the center of gravity of the big triangle) to the north corner of the inner triangle, the 37th triangle, there are 1201-313 = 888 (JESUS) counters. This is Frank Colijn's discovery. Each side triangle conceals JESUS (925-37=888) and JESUS CHRIST (925 English gematria). Unexpectedly, the total number of outline counters in the pattern is 391, the Hebrew gematria of YEHOSHUAH, i.e. JESUS in Hebrew!

    I pointed out that 4860 miles was the perimeter of the apex triangle for the House of Yahweh many times.  It is interesting to find that Psalms 13:6 has a Ragil gematria added value of 2268 and with the 2592 value of the next verse (14:1) that adds to 4860 and with 13:4-5, 7771. Remember, that 4860 feet is a Roman mile. You may know that the houses of the zodiac are 2160 years long and all of them together add to 25920.  It is interesting to note also, that 7/8 of 2592 = 2268.  Please keep in mind that 2268 is 3/4 of the perimeter (3024 feet) of the Great Pyramid, which stands for "light" some say.  Jesus is also the one standing as the "Light" of the world.  Jesus Christ = 2368.  Note also, that 3/4 of 1008 is 756, or 1/4 of 3024 feet.  Soon, Jesus will take away the sin from all sides of the world (Zech. 5:3 = 3024), and as Matthew 13:41; John 1:29; and Romans 11:25-27 promise.  So, it is no surprise that Zech. 5:1-4 has a combined value of 13700, or and average of 3425 for each verse.  At Ezekiel 28:6, with its 2000 value, God says, "Because you have God like airs (and with verse 28:7 with its 3425 value), I am about to bring foreigners against you and show you just how smart you really are."  Their high handed ways will be broken as Job 38:15 says.  At Job 38:13 with 1997 value, is about "shaking the wicked out of the world".  Job 38:12-15 = 9700.  Just remember what was happening in America in the middle of 1998 through 1999, and know that Jeremiah 13:9-12 adds to 19985. Pride of honor and decency has been trashed in America.  The downfall of America began between 119 and 139 years ago.  Some say that the historians keep the full story to themselves, so God says, "The LIGHT is kept from the wicked".  This is babble as they see it (Isaiah 28:9-13; 29:11-14).  The strange language of God is number harmony, also.  Jesus and many prophets spoke in parables and riddles with picture encryption (John 16:25).
    Light is the main thing and at Genesis 1:3 God created light with a gematria value word of 207.  So, we say that 27 stands for "light".  The name "Jesus" has an 888 is some verses and 888 x 27 = 23976.  Isn't it wonderful that 2x3x9x7x6 = 2268, or 3/4th of the perimeter of the Great Pyramid that stands for light.  Yes, 2+3+9+7+6 also = 27 for light.  The square root of 23976 divided by 365 = 42.4224 % of a normal year, or in the 155th day June 4th at the 1212.27th minute of the day and today my web site logged 12123 visits, when I was writing this paper.  On June 4th 1955 I was 18.37 years old and started a 37 year long working career.  And Just think, the words "Lord Jesus Christ" = 3168 and 3168/4224 = 3/4.  1008 x 22/7 = 3168 also.  Some day 255150 x 1008 will make scents.  The mean diameter of earth used to be figured at 7920 miles and 3 x 7920 = 23760 (23976 without the 9).  Anyhow, 23760/31680 = 3/4.  The square root of 23760 is also the 155th day (154.14279).  The DOW was down 154.19 points (probably exactly 154.188196694) on 4/28 (sun rose at 5:55 a.m. PDT and will set at 8:18 p.m.), and that is 23774, if squared.  For No. 17 week of the year, the DOW was down 110.14 points, that is 41.011 backwards.  The NASDAQ was up 216.78.
    I began supporting myself on the 155th day of the year in 1955 and 40 years later my only best friend, a black female dog, was born on day 15 of the 5th month May for a 12220 reason -- Psalm 22:20 KJV, or 22:21 Hebrew Bible about a "myd-dog", meaning "hand" (not power) for 5 digit-cur (5th Hebrew word), or a "five-dog (Jeshua & Caleb)" and "spirited" precedes that, and the sixth and last Hebrew word is "Jewish", or as the K.J.V. says, "only one" (without the Hebrew letter Tau it means "only").   So, Ps. 22:21 Hebrew Bible, should be translated, "Save me and my spirited "5" dog (Jewish like Caleb Num. 32:12 & 34:19) from the ambushers, or Save me and my spirited (Independent Minded) "5" cur from the Jewish destroyers."   A Bible Code out of Isaiah 24-35th chapters with 1550 ELS shows she was born in May of 1995 and loves to go touring.  Three of the eight letters were in verses that had No.15. and every letter number in the Hebrew Bible ended in 05 or 55.  Isaiah 28:9-29:11 was the middle of the matrix.  This like on 5-5-00 when 5 planets visible to the naked eye group together with the crescent moon on the other side of the sun from the earth and the sun won't let us see.  John couldn't see what the Son was showing him at John 16:16, either.  Anyhow, my "5" dog will be 5 years old on the 25th (middle) of Omer on 5-15-0 in 5760 A.M. (2000 A.D.) and that is 5 days after Israel's 52nd Independence Day in 2000 A.D.  And on May 17, 2000 at 7:33:44 p.m. on the 138th day (137.8151 days), that is the square root of 52 years in days.
    The 88% of this year with 366 days is on November 18th at 01:55 a.m. and 88% of a 365 day year is also on November 18th, but at 04:48 a.m.  I learned years ago that Phi (1.61803398875) to the 12th power was 321.996894373 and as a day of the year in a 365 day year that is November 18th (11-18) at 11:55.5 p.m.  I wonder who was born at that time and likes 8,s?  A person that would be 44 years old this year even, because 33/44 looks so nice.  I see 4:44 and 444 a lot. A person that is 47.52 years old on May 30th could fit the harmony, if you add 131.68 days to it to get through November 18th, he would be 47.87978142 years old then.  So, he would have to be born near midnight December 31, 1952 just 4 seconds before the end of 1952.  That would fit most of the harmony, too.
    On 4-27-00 the NYSE DJIA ended at 10888.10 for a -57.4 drop today, and amazingly 10888.1/4.8 = 2268.3541666.  This was the 118th day and/or .322 of the year.  WOW! (11.8227 x 11.8227 = about 5x7x4, or 139.777).  The NASDAQ was up 144 points to 3774, and 27 times 139.7777777 = 3774 (102 x 37), because 139.8 is the Phi Golden Proportion point of the year 2000 A.D.  There are 140 turns of a royal cubit diameter measuring wheel that had a circumference of 5.4 feet, on each side of the Great Pyramid.  So, 2000 / 54 = 37.037037037.   Remember, that at .223 of this year it was the 81.618th day, 3-22-00, the day I was 63 years, 63 days, 63 min. 63 seconds old on the 888th minute at 2:48 p.m. (14.8th hour and 4 x 37 = 148). The May 18th DOW ended at 10777.  Now that is harmony;  Ha!  What we are seeing is the wonderful number 37 times 2 = 74 or 3774 together in 2000.
   Jesus/Joshua is the man of Numbers 27:16-18 (light with f) that YHVH appointed to shepherd His people.  Those three verses add up to 888 x 12, for Jesus leading the 12 tribes or apostles (10656 total).  The names of Jesus' first 12 apostles in the 1st century A.D. add to 10656 with Greek gematria, also.  This relates to the 12 stars and moon and sun as the wonder in heaven of 5-5-00 (counting the moons of Jupiter in the reflecting wading pool of water as the "Love bug" gives birth from the Philo-pains), Revelation 12:1.  The 10656 is also 37 x 288, and 25920 x .41111, a prime harmonic factor tool of God, like 37/90.  Note:  1776 x 6 = 10656 = 322 x 33.093168. Then 1.21212 x 20.625"  = 25".
    On April 27, 2000, the sun was up .598 of the 24 hour day, and at 1 Chron. 3:5, Jerusalem is spelled with a B in Hebrew to make it have a value of 598 gematria.  In 598 B.C. Jerusalem came under siege.
    Another harmonic triangle: My birthday is 1/19, and my bitch/female cur's birth 5/15/95 relates to 119 years after G. Armstrong Custer bit off more Sioux than he could slew, at the Little Big Horn (Dan 8:8-9).  Native Sitting Bull won a fulfillment of 2 Samuel 22:28, or the bison-ten-nail horn of 76 to come (Psalm 22:22 Hebrew Bible; Dan. 7:7 the 4th beast).  As Ps. 22:12-13; 22:21, or 22 Heb. Bible puts it, "Bullies with bullets and loud angry lying mouths, cutting words and all, will surround him (BSN = bsn)" (Giants of Bashan Deut. 3:1-13).  The bissextile harmonic of 24 hours on 2/24 doubled, or multiplied for 48 and 576 respectfully, this 224th year from 1776 is amazing. What does it all mean (Dan. 5:15)?
    On May 15, 1967 during the 19th anniversary of the independence of Israel  in 1948, they heard about the Egyptians gathering their troops for war against them.  At 4:00 p.m. on May 14, 1948,  David Ben-Gurion proclaimed the creation of the State O Israel and became its first prime minister, but the British didn't officially terminate their rule over Palestine till midnight.  Then on the 15th of May the United States gave its recognition, and that is the same day the war to keep it started between the Jews and the Arabs, which lasted 15 months.  The Six Day War of 1967 began on the 5th of June and on the 7th of June they had regained Jerusalem after 1900 years.  Jesus = 888 and Christ = 1480 and that is 2368.  The square root of 2368 is 48.6621.  The 6-6-67 day was the second day of the 6 day war and they were fighting for Jerusalem that day.  The 6 Day War lasted 7920 + 30 minutes, or 132.5 hours, or 5.52 days.  So, 132 x 5 = 660 and 60-6 (exhkonta-ex) = 449. That is half of "of us", or hmwn.  So, Lord=800, of us=898, Jesus=888, and Christ=1480 totals to 4066 (For 2000-6-6).

Patterns in Nature

David Pratt

January 2006

Part 2 of 2

Contents

    6. Formative power of sound
    7. Planets and geometry
    8. Planetary distances
    9. Solar system harmonies
  10. Intelligent habits
  11. Sources

6. Formative power of sound

    In the late 18th century, German physicist Ernst Chladni demonstrated the organizing power of sound and vibration in a visually striking manner. He showed that when sand is scattered on metal plates, and a violin bow is drawn across them, the resulting vibrations cause the particles to move to the places where the plate is almost motionless, producing a variety of beautiful, regular, intricate patterns.*

*Joscelyn Godwin makes an interesting comment on this phenomenon: ‘Once, passing by a crowded dance hall where rock was being played, I could not help perceiving the floor of the hall in terms of a Chladni plate, and the dancers appeared for all the world like the jumping, helplessly manipulated grains of sand’ (1995, p. 246).

 

Fig. 6.1 Chladni figures. For a video, click here.

    A century after Chladni, Margaret Watts-Hughes created images by placing a powder or liquid on a disk then letting it vibrate to the sound of a sustained musical note. She experimented with several musical instruments but had most success using her voice. The particles arranged themselves into geometric shapes, flower patterns (such as pansies, primroses, geraniums, and roses), or the shape of a fern or a tree. The higher the pitch, the more complex the patterns produced; a powerful sustained note produced an imprint of a head of wheat.

Fig. 6.2 Figures generated by the voice of Margaret Watts-Hughes.

    In the 1950s the study of wave phenomena was continued by Swiss scientist and anthroposophist Hans Jenny (1904-1972), who named the field ‘cymatics’. Using crystal oscillators (which allow precise frequencies and amplitudes to be used), he vibrated various powders, pastes, and liquids, and succeeded in making visible the three-dimensional effects of sound. He produced an astonishing variety of awe-inspiring geometrical and harmonic shapes, including life-like flowing patterns, which he documented in photographs and films.

    Jenny, too, found that higher frequencies produced more complex shapes. A low frequency produced a simple central circle surrounded by rings, while a higher frequency increased the number of concentric rings. Even higher frequencies created shapes resembling petals, butterflies, or crustaceans, zebra patterns, mandala-like patterns, and images of the five platonic solids. As the frequency rises, the dissolution of one pattern may be followed by a short chaotic phase before a new, more intricate, stable structure emerges. If the amplitude is increased, the motions become all the more rapid and turbulent, sometimes producing small eruptions. Under certain conditions Jenny was able to make the shapes change continuously, despite altering neither frequency nor amplitude.

Fig. 6.3 Hexagonal pattern produced by light refracting through a small sample of water (about 1.5 cm in diameter) under the influence of vibration. The figure is in constant dynamic motion. (Jenny, 2001, p. 112; courtesy of Jeff Volk)

Fig. 6.4 A round heap of lycopodium powder (4 cm in diameter) is made to circulate by vibration. At the same time two centres of eruption rotate at diametrically opposed points. (Jenny, 2001, p. 108; courtesy of Jeff Volk)

Fig. 6.5 Jenny built a tonoscope to translate the human voice into visual patterns in sand.
Left to right: ‘oh’ sound, ‘ah’ sound, ‘oo’ sound. (Jenny, 2001, p. 65; courtesy of Jeff Volk)

    More recently, Peter Guy Manners found that an acoustic recording of the Crab Nebula caused sand to form a pattern strikingly like the nebula itself. As the near-infrasonic sound was played, the two swirling arms pulled in, forming a tight ball. Towards the end of the audiotape, the sand became very highly compacted and then suddenly exploded, throwing sand off the table.

    John’s Gospel begins: ‘In the beginning was the Word, and the Word was with God, and the Word was God.’ The Egyptian Book of the Dead, contains a parallel passage: ‘I am the Eternal, I am Ra ... I am that which created the Word ... I am the Word ...’ The Hindu tradition teaches that ‘Nada Brahma’ (the world is sound). The underlying idea is that everything we see is a divine word – or vibration – that has solidified and become manifest, the vibrations originating in the inner, more ethereal realms. All of nature is essentially rhythmic vibration. Everything from subatomic particles to the most intricate lifeforms, from planets to galaxies, comprises resonating fields of pulsating energy in constant interaction. In the poetic words of Cathie Guzzetta:

The forms of snowflakes and faces of flowers may take on their shape because they are responding to some sounds in nature. Likewise, it is possible that crystals, plants, and human beings may be, in some way, music that has taken on visible form. (D. Campbell, ed., Music: Physician for times to come, Quest, 1991, p. 149)

7. Planets and geometry

    If we draw a circle representing the earth – which has a mean radius (in round numbers) of 3960 miles – and then draw a square around it, the square will have a perimeter equivalent to 31,680 miles. If we then draw a second circle with a circumference equal to the perimeter of the square, its radius will be 5040 miles (using 22/7 as a good approximation to pi (π), as the ancients often did) – or 1080 miles more than the smaller circle. Just as 3960 miles is the radius of the earth, 1080 miles is the radius of the moon. In other words, the relative dimensions of the earth and moon square the circle!

Fig. 7.1 Earth and moon square the circle. Note that 5040 (the radius of the outer circle) = 1x2x3x4x5x6x7 (known as ‘factorial 7’, also written: 7!) = 7x8x9x10 (or 10!/6!). A quarter of its circumference (also equal to the diameter of the earth-circle) = 7920 = 8x9x10x11 (or 11!/7!), and the area of each semicircle = 11!.

    Exactly the same proportions and digits (expressed in feet rather than miles) can be found at Stonehenge (see Michell, 1995, 2001). The outer (sarsen) circle has a mean radius of 50.4 ft and a circumference of 316.8 ft. This is equal to the perimeter of a square drawn round the smaller (bluestone) circle, which has a radius of 39.6 ft. This radius is also equal to the diameter of the circle defined by the inner U-shaped structure. This is clear evidence that the ‘English’ foot and mile are at least as ancient as Stonehenge and, like many other ancient systems of measures, are closely related to the dimensions of earth, moon, and sun.

Fig. 7.2 Ground plan of Stonehenge. The lintels on top of the stones of the outer (sarsen) circle were mortised to the uprights and jointed at their ends, forming what was once a precision-made, perfectly level platform.

Fig. 7.3 Given its slope angle of 51.83°, the Great Pyramid, too, squares the circle. The length of each base side divided by the height equals π/2. In addition, the apothem divided by half the base side equals φ.

Fig. 7.4

    If a tetrahedron is inscribed in a sphere with the apex placed at either pole, the three corners of the base will touch the sphere at a latitude of 19.47 degrees in the opposite hemisphere. This latitude marks the approximate location of major vorticular upwellings of planetary and solar energy. The primary focus of sunspot activity is about 19.5° N and S. On Venus, there are volcanic regions at 19.5° N and 25.0° S. Mauna Loa and Kilauea (Hawaii), Earth’s largest volcanoes, are located at 19.5° and 19.4° N respectively. On the moon there is a mare-like lava extrusion at 19.6° S. On Mars, Olympus Mons, possibly the largest volcano in the solar system, is located at 19.3° N. The Great Red Spot of Jupiter is located at 21.0° S. On Saturn there are storm belts at 20.0° N and S. On Uranus, there are upwellings causing cooler temperatures at 20.0° N and S, and a dark spot at about 22.5° S. The Great Dark Spot of Neptune, photographed by Voyager 2 in 1989, was located at 20.0° S, but when the Hubble Space Telescope viewed the planet in 1994, the spot had vanished – only to be replaced by a dark spot at a similar location in the northern hemisphere.

Fig. 7.5 Jupiter’s Great Red Spot.

8. Planetary distances

    Are the planets of our solar system located at random distances from the sun? The Titius-Bode law, discovered 1766, suggests they are not. The law is obtained by writing down first 0, then 3, and then doubling the previous number: 6, 12, 24, etc. If 4 is added to each number and the sum divided by 10, the resulting numbers give the mean distances of the orbits of the planets in astronomical units (1 AU = the earth’s mean distance from the sun). Uranus, discovered in 1781, fitted the law, as did Ceres, the largest asteroid between Mars and Jupiter, discovered in 1801. However, the law breaks down completely for Neptune and Pluto, which were discovered later. Various efforts have been made to modify the Titius-Bode law to make it more accurate.*

*William R. Corliss, The Sun and Solar System Debris, Sourcebook Project, 1986, pp. 34-42.

    Due to its ad-hoc nature, the Titius-Bode law is usually dismissed as a numerical coincidence that has no physical basis. However, the fact that the planets’ distances from the sun follow a pattern can easily be demonstrated by plotting the logarithm of the mean distance of the planets (including the asteroid belt) against their sequential number (1 to 10). The fact that all the points lie very nearly on a straight line proves that gravitation is ‘quantized’. However, there is currently no detailed mainstream theory that explains how gravity works and why it should be quantized. The orbits of satellites around moons show the same quantized spacing, as do the orbits of electrons around an atomic nucleus (in the Bohr model of the atom).

Fig. 8.1
Figs. 8.1 to 8.6 courtesy of John Martineau (A Little Book of Coincidence, Wooden Books, 2001)

    Curiously, the mean orbital radii of the four inner and four outer planets reflect about the asteroid belt. For instance, if we multiply together the orbital radii of Venus, Mars, Jupiter, and Uranus, we get virtually the same value as multiplying the orbital radii of Mercury, Earth, Saturn, and Neptune (5.51 x 10³⁴ km as against 5.56 x 10³⁴ km).

    The spacing of the planets shows many geometrical regularities. For example:

Fig. 8.2 Three circles touching: if Mercury’s mean orbit passes through the centres of the three circles, Venus’ orbit encloses the figure (99.86% accuracy).

 

Fig. 8.3 Left: The mean orbits of Mars and Jupiter can be drawn from four touching circles or a square (99.995%). Right: A related pattern spaces Earth’s and Mars’ orbits (99.8%).

 

Fig. 8.4 In this diagram, the smaller and larger circles represent not only the relative sizes but also the orbits of Mercury and Earth; they are related by a pentagram (99.1%).

Fig. 8.5 This diagram shows Earth’s and Saturn’s relative sizes and orbits;
they are related by a 15-pointed star (99.3%).

 

Fig. 8.6 Earth’s and Jupiter’s mean orbits can be created by spherically nesting three cubes, or three octahedra, or any threefold combination of them (99.89%).

9. Solar system harmonies

    The 17th-century astronomer Johannes Kepler discovered a remarkable relationship between a planet’s mean distance from the sun and the time it takes to orbit the sun: the ratio of the square of a planet’s period of revolution (T) to the cube of its mean distance (r) from the sun is always the same number (T²/r³ = constant). For instance, measuring T in earth-years and r in astronomical units, we get:

    Orthodox science has no real explanation for this, or for the many ‘resonances’ in solar system dynamics. For instance, the periods of Jupiter and Saturn show a 2:5 ratio. The periods of Uranus, Neptune, and Pluto stand in a 1:2:3 ratio. Mars and Jupiter are locked into a 1:12 resonance, Saturn and Uranus are in a 3:1 resonance, and there is a 2:3 resonance between Mercury’s rotational and orbital periods.

    What is the nature of such ‘resonances’? Abstract mathematical concepts such as ‘curved spacetime’ shed no light on the matter. A concrete explanation must be sought in the behaviour of the dynamic ether filling space, whose vorticular motions cause the planets and stars to rotate and carry them along in their respective orbits. According to the ether-science model known as aetherometry, T²/r³ is a constant for all the planets because it refers to the constant flux of energy that the solar system as a whole extracts by its primary gravitational interaction with the ether, entailing a nearly constant energy supply for each of its members.

    The speeds of the planets in their orbits represent their pitch-frequencies. Cosmic ‘chords’ are produced when planets come into conjunction (or ‘kiss’), i.e. stand in a straight line with the earth and sun. A certain number of regular planetary conjunctions occur over particular periods of time, and the ratios between these numbers reflect with considerable accuracy the length ratios necessary to produce the diatonic notes of an octave, i.e. the seven notes of a musical scale.

Fig. 9.1 Planetary conjunctions as ‘chords’ (Tame, 1984, p. 239).
The line in this diagram represents an octave, divided into seven intervals by eight notes. The line could represent the string of a one-stringed musical instrument. The numbers above the line are the numbers of conjunctions of each planet with the sun and earth, and those below the line are the numbers of years involved.

    The planets’ orbits are ellipses with the sun at one of their foci. Their speeds are therefore variable: they speed up as they approach perihelion (the point in their orbit nearest the sun) and slow down as they approach aphelion (their greatest distance from the sun). Following Kepler, Francis Warrain expressed the ratio between the minimum and maximum speeds of one planet and those of different planets as a musical interval. The results (only those for the inner planets are given below) rule out chance altogether, and constitute ‘a powerful argument for the harmonic arrangement of the solar system’ (Godwin, 1995, pp. 132-6). Of 74 tones, as many as 58 belong to the major triad CEG.

    The time taken by Venus to seemingly orbit the Earth (i.e. a Venus synod) is currently 584 days, so that 5 Venus synods are equivalent to 8 ‘practical’ earth-years (of 365 days). Venus has a sidereal orbital period of 225 days, and 13 of these periods equal 8 practical earth-years. In both cases, the numbers composing these ratios are consecutive Fibonacci numbers, and therefore give approximations to the golden section: 8/5 = 1.6, and 13/8 = 1.625. Venus rotates extremely slowly on its axis: its day lasts 243 earth-days, or 2/3 of an earth-year (the same ratio as a musical fifth). Every time Venus and earth ‘kiss’, Venus does so with the same face looking at earth. Over the 8 years of the 5 kisses, Venus will have spun on its own axis 12 times in 13 of its years.

Fig. 9.2 Teotihuacan: stellar symbol of Venus dispensing its influence
downwards towards the earth.

Fig. 9.3 The Venus pentagram.

    According to theosophy, the key numbers to the solar system lie in a combination of the year of Saturn and the year of Jupiter, expressed in earth-years (Purucker, 1973, pp. 3-15). About 12 earth-years (11.86) make 1 year of Jupiter, and about 30 earth-years (29.46) make 1 year of Saturn: 12 x 30 = 360, the number of degrees in a circle and the number of days in an ideal earth-year. (Theosophy says that an earth-year oscillates above and below 360 days over very long periods of time.)

    The whole process of evolution can be summed up as a descent of divine consciousness-centres or monads into matter, and their subsequent re-ascent to spirit, enriched by the experience gained on their aeons-long evolutionary journey. This process can be symbolized by two interlaced triangles, known as Solomon’s seal or the sign of Vishnu, the upward-pointing triangle representing spirit, and the downward-pointing triangle representing matter. Significantly, as Saturn and Jupiter revolve around the sun, they mark out two interlaced triangles around us every 60 years! The upward triangle is formed by their conjunctions and the downward triangle by their oppositions. Once again, there is a slight irregularity: after 60 years the conjunction does not take place at exactly the same point; there is a gap of 8 degrees, so that the interlaced triangles slowly rotate through the entire zodiac in a period of 2640 years. There are 432 of these 60-year Jupiter/Saturn cycles in a precessional cycle of 25,920 years.

Fig. 9.4 Conjunctions and oppositions of Jupiter and Saturn.

    The sun is the heart and brain of the solar kingdom and the regular sunspot cycle is akin to a solar heartbeat. The sunspot cycle has a major impact on earth, especially terrestrial magnetism and the climate. Over the past 250 years its length has varied irregularly between 9 and 14 years, averaging 11.05 years. Sunspots peak shortly after Jupiter passes the point in its orbit closest to the sun. (The ‘ideal’ sunspot cycle is said in theosophy to be 12 years, so there would be one such cycle for each year of Jupiter.) The sunspot maximum does not occur exactly in the middle of the sunspot cycle. The ascending part of the cycle has a mean length of 4.3 years – very close to the figure of 4.22 years that would divide the 11.05-year cycle exactly according to the golden section.*

*Theodor Landscheidt, ‘Solar activity: a dominant factor in climate dynamics’, www.john-daly.com/solar/solar.htm.

10. Intelligent habits

    To attribute the order, harmonious proportions, and marvellous recurring patterns in nature to pure chance is absurd. The pagan philosopher Cicero wrote:

If anyone cannot feel the power of God when he looks upon the stars, then I doubt whether he is capable of feeling at all. From the enduring wonder of the heavens flows all grace and power. If anyone thinks it is mindless then he himself must be out of his mind. (On the Nature of the Gods, Penguin Classics, 1972, 2.55)

    However, the traditional theological picture of ‘God’ as a supreme selfconscious being who thinks, plans, and creates – even managing to make the entire universe out of nothing – is untenable. If ‘he’ is a being, he must be finite and limited, and have a relative beginning and end. Whereas if the divine is infinite, it cannot be a thinking being, separate from the universe, but must be one with it, as taught by pantheism. The divine essence would then be synonymous with boundless space, or infinite consciousness-life-substance. And since nothing can come from nothing, it must always have existed.

    Materialistic scientists prefer to attribute the patterned order of the cosmos to ‘laws of nature’, with new ones emerging ‘spontaneously’ as evolution proceeds. But this explains nothing, for the word ‘law’ simply denotes the regular operations of nature – the very regularities that the term is supposed to explain! Patterns in the living world are sometimes attributed to genetic programmes, but this is merely a declaration of faith, since all that genes are known to do is provide the code for making proteins – not for arranging them into complex structures. Moreover, it is hard to swallow the conventional claim that genetic programmes themselves originated by chance.

    If some patterns arose through random genetic mutations and natural selection, it would mean, for example, that the reason the golden angle is widely found in leaf arrangements throughout the plant kingdom is because it contributed to their survival. This implies that at one time most plant species did not embody the golden angle – but such a claim can never be tested. What we do know is that life emerged on earth incredibly quickly, that new and fully functional types of organisms have tended to appear on earth incredibly quickly, and that there is no evidence whatsoever for vast periods of trial-and-error experimentation along darwinian lines.

    The theosophic tradition, or ancient wisdom, teaches that nature’s patterns and regularities are better seen as habits, an expression of its ingrained instinctual behaviour, of the tendency for natural processes to follow grooves of action carved in countless past cycles of evolution. For it teaches that all worlds, on every conceivable scale, reembody again and again. And behind these habits lies an all-pervading consciousness, the universe being composed of interworking hierarchies of intelligent and semi-intelligent ‘beings’ or energy-forms, from elemental to relatively divine. The order of nature also reflects the essential interconnectedness of all things, and the fact that the same basic patterns and processes recur on widely different scales.

    All monads, or units of consciousness, are said to progress through a series of kingdoms towards a state of relative perfection in the system of worlds in which they are then evolving, before passing, after a long rest, into other world systems, on other planes. Humans, in their present stage of rebellious selfconsciousness, often succumb to the temptation to misuse their free will for selfish and shortsighted ends, creating discord and suffering. But it lies within our power to attune ourselves to the fundamental harmony of our inner, spiritual selves – sparks of the universal ‘Self’ – and to become voluntary coworkers with nature in the great cosmic adventure of evolution.

11. Sources

• Blavatsky, H.P., The Secret Doctrine, Pasadena, Theosophical University Press, 1977 (1888)
• Cunningham, Bailey, Mandala: Journey to the center, New York, DK Publishing, 2002
• Doczi, György, The Power of Limits: Proportional harmonies in nature, art, and architecture, Boston, Shambhala, 1994
• Ghyka, Matila, The Geometry of Art and Life, New York, Dover, 1977 (1946)
• Godwin, Joscelyn, Harmonies of Heaven and Earth: Mysticism in music from antiquity to the avant-garde, Rochester, Inner Traditions, 1995
• GoldenNumber.Net, http://goldennumber.net
• Heath, Richard, Matrix of Creation: Sacred geometry in the realm of the planets, Rochester, Inner Traditions, 2nd ed., 2004
• Heath, Robin, Sun, Moon, & Earth, Yew York, Walker & Company, 1999
• Jenny, Hans, Cymatics: A study of wave phenomena and vibration, Newmarket, MACROmedia Publishing, 2001 (original 2 volumes published in 1967 and 1974)
• Knott, R., ‘Fibonacci numbers and nature’, www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
• Knott, R., ‘The golden section ratio: phi’, www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html
• Lawlor, Robert, Sacred Geometry: Philosophy and practice, London, Thames and Hudson, 1997 (1982)
• Livio, Mario, The Golden Ratio: The story of phi, the world’s most astonishing number, New York, Broadway Books, 2002
• Lundy, Miranda, Sacred Geometry, Cascob, Wooden Books, 2nd ed., 2002
• Martineau, John, A Little Book of Coincidence, Cascob, Wooden Books, 2001
• Michell, John, The New View over Atlantis, London, Thames and Hudson, 1995 (1983)
• Michell, John, The Dimensions of Paradise: The proportions and symbolic numbers of ancient cosmology, Kempton, Adventures Unlimited, 2001
• Murchie, Guy, The Seven Mysteries of Life: An exploration of science and philosophy, Boston, Mariner Books, 1999 (1978)
• Pennick, Nigel, Sacred Geometry, Symbolism and purpose in religious structures, Chieveley, Capall Bann Publishing, 1994
• Plummer, L. Gordon, By the Holy Tetraktys! Symbol and reality in man and universe, San Diego, Point Loma Publications, 1982
• Plummer, L. Gordon, Three Steps to Infinity, San Diego, Point Loma Publications, 1993
• Plummer, L. Gordon, The Mathematics of the Cosmic Mind: A study in mathematical symbolism, Wheaton, Theosophical Publishing House, 1982
• Purucker, G. de, Studies in Occult Philosophy, Pasadena, Theosophical University Press, 1973
• Purucker, G. de, Fountain-Source of Occultism, Pasadena, Theosophical University Press, 1974
• Schneider, Michael S., A Beginner’s Guide to Constructing the Universe: The mathematical archetypes of nature, art, and science, New York, HarperPerennial, 1995
• Schwaller de Lubicz, R.A., The Temple of Man, Rochester, Inner Traditions, 1998
• Stewart, Ian, and Golubitsky, Martin, Fearful Symmetry: Is God a geometer?, Oxford, Blackwell, 1992
• Stewart, Ian, Nature’s Numbers: Discovering order and pattern in the universe, London, Weidenfeld & Nicolson, 1995
• Sutton, Daud, Platonic & Archimedean Solids: The geometry of space, New York, Walker & Company, 2002
• Tame, David, The Secret Power of Music: The transformation of self and society through musical energy, Rochester, Destiny Books, 1984
• Thompson, D’Arcy Wentworth, On Growth and Form, New York, Dover Publications, 1992 (1942)
• Volk, Jeff, ‘Sound insights’, Kindred Spirit, issue 60, autumn 2002, www.cymaticsource.com/KindredArticle.pdf

Patterns in nature: Contents

Evolution and design

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