Georgia Albert - 07:57am May 18, 1999 MST (#851 of 853)

I found a site with photos of 11th century CE chess pieces, which were found on a Byzantine era shipwreck.< http://nautarch.tamu.edu/ina/>, just go to Serce Liman1 Byzntine ship wreck excavation and scroll down to Miscellaneous photos. The Archaeologists feel the owner of the ship was Helenized Bulgarian or of Constantinople. They didn't look like much, real plain, I need to study the photos more extensivly.

LOVE

G

That's interesting Georgia. I was searching around the net a couple of nights ago looking for any site - commercial or otherwise - that would provide illustrations of the pieces themselves - the metals and woods from which they were composed and the general iconography. I was hoping to find something Imperial - jewel encrusted - like the Black Madonna of Spanish Middle Ages. I'm sure these must exist (Russia?) but I have not had much success thus far. What I did find was....

LEWIS ISLAND - Scotland "In 1831, the sea carried away a sandbank on the Isle of Lewis uncovering a building that had been buried in the sand. In the building a peasant found what he thought was a collection of ivory elves and gnomes. The superstitious Highlander fled for home in horror, but his wife encouraged him to return to the site and bring the figures home. He sold them to a local collector who realised they were chessmen. There were 78 pieces in all, belonging to eight or more sets. 67 of these pieces are now in the British Museum and the rest in the National Museum of Edinburgh."

and this - very suspicious gender reference to..

THE BISHOP "She moves diagonally across the battlefield, always forced to remain on the same color square that she started off from.  Fortunately for you, you get two bishops, one on each color. When these two bishops are used together, they are fearfully powerful. We can mourn in advance for the poor queen or king who comes in the path of the bishop sisters."

Hmmmm...

There are three Chess pieces that can move "All" the way across the chess board if the opportunity is there.

Bishop - diagonally
Rook - straight
Queen - both

In fact the Queen can make every move that any other piece can make with these exceptions:

Queen cannot Castle like Rook can with King
Queen cannot become a Queen
Queen cannot move like a Knight

...Continued from post #848

As I explained in post #848 we'll use the completed 4x4 square and transform it into an 8x8. However, this 8x8 square must be manipulated in order to make it magic with all rows, columns and diagonals adding to 260 [ 8(8^2+1)/2 ].

STEP 3: transform 4x4 square into 8x8

In order to create the 8x8 we will replace each number in the 4x4 by a 2x2 square. This 2x2 square will be filled in a clokwise order starting with the number 1 and endind with the number 64.

What we want to do now is to draw an 8x8 grid and use the 4x4 magic square as a guide.

Notice that the number 1 in the 4x4 represents the four squares in the bottom right-hand corner row of the 8x8.

So, fill in this four squares with the digits 1,2,3,4 in a clockwise order, like so:

1 2

4 3

Next we will fill in the number 2 position, like so:

5 6

8 7

the number 3 is replaced by:

9 10

12 11

etc.

when finished filling in all 64 numbers, the 8x8 should look as below:

61 62 5 6 9 10 49 50

64 63 8 7 12 11 52 51

17 18 41 42 37 38 29 30

20 19 44 43 40 39 32 31

33 34 25 26 21 22 45 46

36 35 28 27 24 23 48 47

13 14 53 54 57 58 1 2

16 15 56 55 60 59 4 3

This square is NOT yet magic. In order to make it magic we will switch some numbers. At this point a spreadsheet program would be very helpful. So far I have found 9 different magic squares from the above 8x8 square, but I'm sure that there are many more.

Pattern #1 (5 magic squares)

starting with the 61 in R1,C1:

switch the 61, 62, 5, 6 with the 64, 63, 8, 7. In other words, interchange the top half row with the half row immediately beneath it so that the 64, 63, 8, and 7 is now at the top and the 61, 62, 5, and 6 is at the top.

Interchage the 3rd and 4th half row; the 5th with the 6th, and the 7th with the 8th.

And you have the first magic square!! The rows, columns and diagonals should now add to 260.

2) You can repeat the same process as above to get another magic square, but this time you may want to start with the number 62 instead of the 61. Therefore, you would switch the 62, 5, 6, and 9 with the 8, 7, 12, and 11. Interchange the rest of the rows (3->4, 5->6, and 7->8) and you have your second magic square.

You can repeat this process starting with the 5, 6, and 9 for a total of five different magic squares.

Holmes, reference your post 846, you added the "8"! How very elementary, my dear! LOL! Isis equals Love equals 81 equals 18 equals 9, the number of ultimate completion and perfection. Of course, how silly of me to not have realized before, that this is so.

deLion, where did you find that quote about the tantalizing Bishop sisters (remember that shtick from "White Christmas" with Vera Ellyn and Rosemary Clooney as the "sisters" doing the novelty song "Sisters", which Bing Crosby and Danny Kaye later did an absolutely hilarious semi-in-drag take-off on?) Tell all, please! This is so very reminiscent of Gerhard's "The Bishop Was A Queen", which I have yet to finish translating from German into English (sorry)!

Here are the intervals for the vertical columns of John's Pan Magic Square of Magnitude Eight, starting at top left, calculating the intervals down the column:

1) 38, 39, 42, 44, 46, 41, 34

2) 58, 57, 54, 52, 50, 55, 62

3) 58, 57, 54, 52, 50, 55, 62

4) 38, 39, 42, 44, 46, 41, 34

5) 26, 25, 22, 20, 18, 23, 30

6) 6, 7, 10, 12, 14, 9, 2

7) 6, 7, 10, 12, 14, 9, 2

8) 26, 25, 22, 20, 18, 23, 30

Too tired, darlings, to take this any further tonight. However, the most obvious correlations are columns 1&4, 2&3, 6&7, and 5&8, which match all the way across the Board. How about a little numbers magic, Holmes, what?

...Continued from post #854

Pattern #2 ( 1 magic square)

This pattern is similar to Pattern #1 but since I could not find any "reflections" I decided to isolate it as a unique.

Interchange 61 and 62 (on the top row) with the 64 and 63 (on the second row). Repeat this process for row 3->4, 5->6 and 7->8.

Now, repeat the above process for the last two rows. And, voila you have another magic square to add to 260.

Pattern #3 (1 magic square)

This one is similar to Pattern #1. We will switch the first four numbers of the top row (61,62,5,6) with the four numbers below it (64,63,8,7). Unlike pattern #1, however, we will switch the right half four numbers of row 3 and row 4 (ie, switch 37, 38, 29, and 30 with 40, 39, 32, and 31). Now, using the same process switch the 5th and 6th left half rows and lastly the 7th and 8th half rows. In other words, we alternate between the right half and the left half.

For the second magic square within this pattern, repeat the above process, but this time instead of starting with 61, 62, 5, and 6 (ie, the left half-row) start with the right half-row.

Pattern #4 (1 magic square)

For this pattern I'll I think it's easier to give you the switches. Remember, as before, by "switches" I mean an interchange of the top set of numbers with the immediate bottom one.

here we go:

Rows 1&2: (61,62) with (64,63)

Rows 1&2: (9,10) with (12,11)

Rows 3&4: (41,42) with (44,43)

Rows 3&4: (29,30) with (32,31)

Rows 5&6: (25,26) with (28,27)

Rows 5&6: (45,46) with (48,47)

Rows 7&8: (13,14) with (16,15)

Rows 7&8: (57,58) with (60,59)

NOTE

In the 8x8 matrix in Post #854 we entered the digits 1-64 in a clokwise order. However, if we had entered the digits in a different order we would have ended up with a different matrix from which (by manipulating it) whole new sets of magic squares would have emerged. Again, i would like to enphasize the usefullness of using a spreadsheet program since there are 24 permutations in which 4 digits can be arranged (ie, 4! = 4x3x2x1 =24).

Jan et al,

Here is the easiest, so far, method for constructing an odd magic square of any magnitude.

I will explain, as best I can, and construct the 3x3 and the 5x5, but the method applies to any odd magic square.

First, draw a 3x3 and start by placing number 1 (remeber you can also start with 0 or any other number - it makes no difference) in the middle of the top row.

Now, go right diagonally and to the right and you will note that the next number which is 2 comes above the cell in R1,C3 (ie, the third cell of the top row - from left to right). In this case drop the 2 to the lowest cell in that column (ie, the 2 goes in R3,C3). Now, go right diagonally and to the right again and you find that hte next number, 3, comes outside of R2,C3. In this case move the 3 to the extreme left cell in row 2 (ie, place 3 in R2,C1). Again, from the 3 position move diagonally and to the right and you will note that the number 1 interferes with the next right diagonal and upward move, therefore drop down one cell and place the 4 directly below the 3 (cell R3,C1). Now you have clear sailing for number 5 (middle cell) and number 6 (cell R1,C3). It is impossible now to go right and diagonally from this corner (since there is no cell corresponding to this move) therefore, drop down in the square as before, placing the 7 directly below the 6, and continue as before, placing the 8 and 9 in their proper locations as shown below:

8 1 6

3 5 7

4 9 2

With a little practice you should be able to fill in any odd square of any size.

Here is the 5x5. Again, same diagonal (aka, wrap-around) method as for the 3x3:

17 24 1 8 15

23 5 7 14 16

4 6 13 20 22

10 12 19 21 3

11 18 25 2 9

Same method can be used for a 7x7, 9x9, 11x11, 25x25, 323x323 etc. as long as it is odd.

Have fun!

Too tired, darlings, to take this any further tonight. However, the most obvious correlations are columns 1&4, 2&3, 6&7, and 5&8, which match all the way across the Board. How about a little numbers magic, Holmes, what?

Jan look at your pairings of row numbers of which those rows are identical mirrors of each other:

1+4 =5
2+3=5
6+7=13 = 1+3=4
5+8=13 = 1+3=4

5+5+4+4 = 18 and "Chess" = 18 = "Love"

"Chess" + "Love" = 36 + 1 = "Black Madonna"
notice the mirror: 63 + 1 = 64

36 + 1 + 63 = 100

This is certainly interesting coincidence:
"Star Wars: The Phantom Menace" = 100

Recall the Chess board on board the "Mellenium" Falcon from the very first Star Wars movie?

Hi All

As I was reviewing the posts I was rereading Phil's POST 188 on connection with the musical scale. I felt it was fitting to add this information.

" There popular names proposed by Guido d'Arezzo, the inventor of the musical staff, are only the first letters of Latin words whose translation reveals a cosmological derived from an earlier age." Pg 234: Beginners Guide to Constructing the Universe.

MODERN NOTE NAMES OF THE MUSICAL SCALE In Decending Order
DOminus	Lord	Absolute
SIder	Stars	All Galaxies
LActea	Milk	Milky Way Galaxy
SOL	Sun	Sun
FAta	Fate	Planets
MIcrocosmos	Small Universe	Earth
REgina Coeli	Queen of the Heavens	Moon
DOminus	Lord	Absolute

Also Jan there is a very good explanation of circle of fifths and why it is actually a spiral in the same chapter on the Heptad. I check out a copy of the book for the Interlibrary Loan Service an got it in Monday. Looks like I will just have to buy this one. Too much stuff in it to refer to.

BTW Jan I will be visiting that Mathematics Professor soon. When I talked to him today I asked him if he had read the book. He wanted all of the information about it and was very interested in seeing it. I hope I get to go there before I have to return this book on June 1. 

Terpsichore, thank you for the update on the professor. I sure wish I could go with you on that visit. I have two musician friends (piano teachers) whom I recently thought to approach on the subject (duh, Jan!), and they were fascinated by the notion of a musical counterpart to The Game based on mathematics. Friends, I will respond more at a later date. Early this morning I lost my most beloved Spencerdog to death, and I am grieving. I am reading the posts, and keeping up. Gerhard is back from holiday, he sent me an email containing a picture of some of the Lewis Chess Pieces, which he asked that I forward to deLion (I have). If anyone else would like them, please let me know. Later, darlings.

Vickie ref 859 ... that is cool!

I was reminded of what I read in Drunvalo's book "The Ancient Secret of the Flower of Life" where he shows how music harmonics relate to dimensions and there are 8 white keys and 5 black keys in each octave on a piano. 8+5=13

Note there were 8 names in your list and the first and last were "DOminus"
or written another way DO is the 1st&8th or 18     "Love" = 18 ... How appropriate!

O  1

O  2

O 3

O  4

O  5

O  6

O  7

O  8

O  9

O  10

O  11

O  12

| O  | 13

The bars before the 13 symbolize the "Great Void" or the "Dark Isle" the 3 represents the 3rd dimension or harmonic which we are in. This is shown in Drunvalo's  book.

"DOminus"= 32 and when we add the alpha & omega Dominus
shown in your post 32 + 32 = 64 the number of Chess.

In 9 numerology DO D=4 O=6 or 46 the number of human chromosomes
and 46 is of course 64 in the mirror.

More 8 Symbology

• Eight represents a polar cycle. The perpetual swing between between two extremes.
• Inhale/Exhale
• Infinity
• "Pieces of eight"- because each of these gold coins known as "reales" were perforated into fractions of the full value. Two "pieces of eight", one quarter of the coin, is the source of the American slang term "two bits" which signifies the Quarter coin.
• The Chinese revered the Eight Immortal Saints
• Eight symbols of a scholar
• Buddism Eightfold Path leading to enlightenment

In metaphysics the Eight symbolizes return.

 Vickie wrote "In metaphysics the Eight symbolizes return."

This is the 8th Mayan solar glyph the "Star" or "Lamat"
It is the solar glyph reprsenting the planet Venus. Goddess of Love.

The other glyph for Venus is "Monkey" or "Chuen" glyph 11
This glyph carries the power of Magick

Look what happens when we put them together in a magical way the
8th and 11th glyphs. Using our 8 as the center.

1 8 1

We have our 18 = "Love" going both ways into the center or 81 the Goddess
moving out from the center.

In keeping with this date , May 19th., 1536, the anniversary of Anne Boleyn's beheading, I offer the following:

To Christians, Saint George was a professional soldier, who publicly declared himself by tearing down Diocletian's edict against the Christians, for which he was beheaded near Lydda in 303, to become one of the early Christian Martyrs. The fame of Saint George as a defender of Christianity was imposed on the Greek legendary story of the Virgin Andromeda and Perseus and retold as Saint George and the Dragon. The story quickly spread westwards and was thought to have been brought to Iona (Scotland) by Bishop Arculf in the 7th century.

Vickie and Mark, I just realized that the piano has 88 keys, ebony and ivory.

Does anyone know the name of the island Diana is buried on. It is on her families grounds, in a lake, Lady of the Lake? The Dark Isle?

DeLion, Ionia (Scotland) gets it name from the Goddess Io. The Goddess makes her appearance again.

John I am going to use the magic squares to teach, my daughter Michelle, how mathamatics can be Fun.

LOVE

G

Don ref 864 - "May 19th., 1536, the anniversary of Anne Boleyn's beheading,"

In the Mayan/Plaiedian calendar this date was called  "9 Chuen"  or Nine Monkey
and there was a Mayan Warrior-Priestess called Nine Monkey who is mentioned in the Nutall
codex which also atlkes about the Venus cycle. Recall the 8th mayan glyph "Star" or "Lamat"
"Anne Boleyn" = 44 which is 4+4=8

Georgia ref 865 "I just realized that the piano has 88 keys, ebony and ivory."
Recall the mayan glyphs for Venus Lamat=8 and Monkey=11 and 8 x 11 = 88

88 = 64 + 24 = 8x8 + (8+8+8)
recall the Arcturan name for this solar system is "Velatropa 24" we see in the 64+24
the 44 of "Anne Boleyn" and if we reverse both the 64 & 24 we have 46 & 42 the
46 = number of chromosomes and the 42 written in mayan dot/bar numbering looks
like this

O          O  O          O

O     |     O  ----+----  O     |     O

42 in mayan dot/bar----Yellow Star glyph "Lamat"

Notice anything similar between 42 and the Lamat glyph?

8 = number of corners or vertices on a Cube which has 3 octahedrons within the cube when you draw lines thru the cube's center between the vertices you will get 6 "4-sided" pyramids and when all 6 pyramids are pushed inward so the center of the cube is in the center of each pyramid base then you have 3 octahedrons which is a pyamid with both the male and female. There are 3 big pyramids (octahedrons) on the Giza plateau.

At the risk of passing myself off as an obituary columnist - the following on Lady Di:

"Following the funeral service, the coffin was taken by road to the family estate at Althorp for a private interment. The Princess was buried in sanctified ground on an island in the centre of an ornamental lake. The grave faces east, towards the rising sun.

The Althorp estate was opened to members of the public who wished to view the lake where the Princess is buried, from 1 July 1998 to 30 August 1998. Details can be found on the Althorp House Web site at

http://www.althorp-house.co.uk.

Books of Condolence were opened for signing at St James's Palace and at Kensington Palace until 21 September. The Books were then offered to the Spencer family. Some 580,000 condolence messages sent electronically in the week after the Princess's death were also offered to the Princess's family.

It was estimated that 31 million people in Britain and two and a half billion people around the world watched the funeral on television.

The present layout of the grounds dates from the 1860's although much alteration has taken place over the past year. The Round Oval itself was cleaned and refilled in the 1860s. It is situated in the arboretum at the rear of the house. Here members of the Spencer family, The Royal family and distinguished guests have planted a fascinating variety of trees. It was also here, on the Island, that Diana, Princess of Wales was laid to rest on 6th September 1997.

Di made quite an obvious impact on the world. Although I am not a big fan of Nostradamus, there is some mention of a blonde queen in one of his quatrains.

FYI

The planet Venus orbits our Sun 13 times exactly to every 8 Earth orbits. I found this in the June issue of Discover magazine. I think these are some Coool numbers. The article said that this June Venus will be it's brightest for this 8 year cycle.

LOVE

May the Hand of the Goddess Always be with You.

G

Georgia I read the same article. And venus won't return until Jan 2001.

How powerfully the moon and the "stars" speak to us. The past several nights has been a crescent moon, with Venus sparkling to the right, the brightest star in the sky. At night when one is contemplating the sky one can feel the pulse of the universe, both within and without. It is very powerful medicine. It is very comforting.

Welcome over, Joe. What do you think of us? Still want to play that e-mail chess game with smarty pants Xena?

Nostradamus is (was) full of it. He was writing in the 16th century about things mostly hundreds of years, supposedly, in the future. Therefore, there was no need to use any hidden codes or secret passwords and all that other crap and garbage. No one reading his words at the time would have had any clue anyway what he was talking about, so he could have simply called a spade a spade and been done with it. By all accounts N. was a logical coherent intelligent man, but he didn't utilize a straightforward and logical method to record his "visions". Therefore, I suspect he was doing a number on the greater posterity and yanking all of our future collective chains!

As for me, anyone with an iota of sense can see what is happening in the world today, and one doesn't need a psychic to explain the future we're staring in the face; I will continue to do battle in my own inimitable Xena way, now with a little ghostie doggie riding up 'cross the saddle in front of me.

John, I am starting my very own Magic Square. I feel like Jim Phelps about to undertake a Mission Impossible, LOL, darlings!

Georgia ref 868 those are very cool numbers!

13 x 8 = 104

The mayan tzolkin calendar has 260 kin in it and look how it relates to the 365 calendar.
260 + 104 + 1 = 365

Note the mayans also had an 18 month calendar with 20 days per month and a end
period called Uayeb (last 5 days of the year). 18 x 20 = 360 circle + 5 = 365
Recall the words "Love" , "Chess",  and "Venus"  which all in number = 18

The Mayan pyramids on Earth represent the "female" aspect as the Egyptian pyramids
represent the "male" aspect. The pyramids in Mexico are laid out just as those in Egypt
on a "Spiral" these spirals probably allign into a Torus that encircles the whole Earth.
Another image of a Torus can be seen by cupping your hands together symbolizing
the Hand of the Goddess (left) and Hand of the God (right) in Unity.

 
Here is some more fun with geometry and the Cube look what happens when you place an 8 at each of the vertices or corners of the Cube there would be then eight 8's or 8 x 8 = 64 which is the number of chess squares. We also have a 1 center which gives us an 18 going from the center to each corner. Recall the word "Chess" = 18 in 9 numerology and if we add up all the way across the diagonal 8+1+8 we get 17 and th center between 1...17 is 9 and 18 = 1+8 = 9.

        8--------8
       /|       /|
      / |      / |
     8--------8  |
     |  |  1  |  |
     |  8-----|--8
     | /      | /
     |/       |/
     8--------8

Notice we can also make a 4-sided pyramid from 4 8's and the 1 center "capstone" thus 8+8+1+8+8 = 33 and notice this is 16 black pieces + 1 board + 16 white pieces. Note there are 6 4-sided pyramids within this cube and each pyramid when paired forms an octahedron ... thus we have 3 or a Trinity of octahedrons. (male, female, child)

Another way to look at it, is the 8 can symbolize the infinity sign so we have 1 center moving out infinitely!

deLion, re your post 852, did you happen to note the URL where you found the reference to the female bishops?

Mark, I do recall the chessboard from aboard the Millenium Falcon. It was holographic with little "creature" pieces that hopped from square to square; one was particularly nasty, picked up the opposing piece and strangled him, I think, or something equally gruesome! I believe it was Chewbacca's piece and he ended up winning the game!

Why do you say the Mayan pyramids are female and the Egyptian pyramids are male? I'm more inclined to think that all pyramids are female, because they are all based on the square, the symbol of the goddess/earth.

I have moved on to the chapter on the Pentad in Schneider's book - and am learing about yet another archetype: the five pointed star arising out of the pentagon. This chapter contains tons of information about spirals and the Fibonnaci numbers, so it will take a while to work my way through it. I am making five point stars out of folded paper and then cutting at just such an angle - so - voila! Perfecto! I think I will gild these and hang them in my den to counterpoint the bronze colored stars already stencilled on the walls.

Jan ref 873

What shape was the chessboard that Luke and Chewbacca played on?

Actually, I believe each pyramid has a male and female component waht I was trying to say is that Egypt area has more male energy and Mayan area has more female energy on the grid of the Earth. Tibet area could be called the Child area.

Sounds like you are having fun creating things :)

I am having fun. Schneider says one must draw, cut out and create one's own volumes in order to get the absolute sense of the meaning behind the "numbers"; thus my construction paper and modgepodge glue, LOL! Doing paper star cutouts was EASY compared to doing a decacahedron - or something like that - 20 faces of 5 sides each, EEK! Took me FOREVER! When I told you I was 11 years old again, I wasn't kidding! One of the bookshelves is filled with my amateurish constructs. I am thinking about stringing them up into a mobile for my youngest niece, just 6 weeks old today!

Let's see, what shape was the chessboard on the Millenium Falcon? Hmmmmmm, I have a vague recollection of a multi-tiered square, but I may just be thinking of the chessboard from Star Trek that Kirk and Spock played on. What WAS the shape, Holmes?

And how does one grid the earth into male and female areas? Can it be done on a map? I would be curious to see what's where!

Joe! You're a poet! Why didn't you tell? I loved the dragon poem. Hey, Pi, take a look at Joe's personal web page under his "Personal Information" and scroll down to the poem about Dragon Lore. (Joe, Pi is our resident genius dragon).

"deLion, re your post 852, did you happen to note the URL where you found the reference to the female bishops?"

Sorry - nope. I found it while searching Alta Vista for other things and just grabbed the text file. On the upside, I typed in "chess, pieces, board" and will be going back into that general search again.

Pi got all mushy and sentimental reading Joe's Dragon poem and sends regards to the author. Pi says that other author's have something to say about chess. Charles Lutwidge Dodgeson - "Lewis Carrol" - may have taken his pseudonom from the Isle of Lewis. He would make a fine Lewis Caroller. Some of Tenniel's illustrations of the King and Queen show a remarkable similarlty to the Lewis Island Pieces and Alice does approach the board and the White Knight with a particularly reverant attitude.

Pi also notes that Middleton's "Women Beware Women" and "A Game at Chess" might supply some additional literary fodder. Although he regrets not having read either play, the synopses look promising.

Alas, one can only fall in love with a sentimental, mushy Dragon! Pi, are you sure you're quite ready for this, hmmmmm? LOL, darling!

Lewis Carrol was most definitely on a trip. The question is what he was tripping on... Be that as it may, he made some powerful statements re the "Queens" (Although my recollection is that he transformed them into playing cards -- the Kings were jovial and totally ineffectual pieces in this particular play, sorry my dear fellow posters of the male persuasion!!!) I could very well be wrong! Egad! I hope I am! It has been a long time. A very long time...

...since I read Alice Through the Looking Glass. About 40 years, to be exact! Will have to dig that out of the closet and check a few things out with adult eyes.

One last post before I zip along to the office. Holmes, I finally found the resemblance between the chart you did at post 850 and the earlier XXXY ones you did at posts 703 and 705 at the beginning of May. My, we are moving right along here, aren't we! I had to dig through tons of print-outs. I will have to hire a secretary to come here and organize my library. Anyone want a part-time job? The pay is good...

Ooops! CORRECTION Just checked out the Alice illustrations and the chess pieces depicted there were just regular Staunton style - or on off-shoot of the same.

 Since we got talking of Dragons I thought I would post
something I wrote a while back and at one time I designed
a chess board that had a Dragon.

Rainbow of Dragons I am the white dragon of peace and purity  come from the heart of the galaxy  traveling the beams of light to velatropa  blue rays of the blessed azure orb terra  pulsing a never-ending song of birth  alpha tones singing praise for Earth  I am the black dragon of void and eternity  come from the heart of the galaxy  traveling the dreams of space to now  reaching the solar system named kinich ahau      dancing with destructions magic of mirth  omega tones humming transformation on Earth  I am the white and black dragon becoming as one  flowering into a rainbow dragon breathing sun  wings of creation gathering for flight unseen  pulsing colors of red white blue yellow and green  alpha and omega tones sing and dance to unite  under the trinity crown of holy holy holy sacred light

Holmes, always knew you had a poet's heart. Are you sure you're not a mormon? (Inquiring minds want to know, darling, LOL!) Just think what you could accomplish with about 650 more, or less, wives. Then again, perhaps not.

Am sending you all my "graph" of the Fibonnaci sequence up to number 55, since I can't get it to "post" here. Little did I know when I started out graphing the sequence, and having not a clue where to begin, that I would create such an item of beauty and symmetry! It is the absolute opposite of what Schneider says I should have done, LOL; what I did was totally instinctive (and clueless!).

Jan ... well I have looked at the Mormons beliefs and recall a show on PBS about them and the women really liked having one husband and of course they could out-vote him. But not real sure 650+ wives might be a little much ... most of us Men have our hands full with One.

Regarding your exploration of the fibonnaci sequence keep going and exploring ... never know what  you might discover. I have seen it drawn as striaght lines and everytime the number changes to the next one a 90 degree angle is drawn. That is the "male" component and wrapped right outside the male lines in a curve is the "female" component.

I feel that the fibonnaci sequence starts at 0 and binary sequence starts at 1 and look
at the numbers when we line them up with each other ... our numbers 8 & 64 are together : )

0	1	1	2	3	5	8	13	21	34	55	89	144
1	2	4	8	16	32	64	128	256	512	1024	2048	4096

Greetings, Mark. I have seen that representation of the Fibonnaci sequence in Schneider's book. He actually describes how one can "map" it out for oneself. I may attempt it when I get to that point in the book, I'm still about 10 pages or so away. I tried several times to send you my own little graph, but it was taking way too long for it to go through. Funny, I know John got it okay and I don't recall that it took more than a few minutes for the e-mail to go through once the image was downloaded, but when I tried sending it to you yesterday (3 separate times) it was going past 20 minutes and I finally cancelled it each time.

Does 5/32nds bring anything to mind? For some reason, that "fraction" is resonating with me (from your chart above), but I can't remember where I may have seen it before.

Not sure - but this does pop out regarding the 5 & 32.

5+32 = 37 = "Black Madonna"

Recall you stopped at 55 on your fibonnaci and 5+(3+2) = 55 the
32 represents 32 white/black chess board squares and when we add
the 32 and its mirror 23 we get 55. Each 4-sided pyramid has 5 points
4 on the base and one point on the top "capstone". They look like this from
above like the five on a dice.

    o      o
        o
    o      o

5 x 32 = 160 and kin 160 in the mayan tzolkin is "4 Ahau" that so happens
is the kin for the last day of the cycle in the Quiche Maya daycount Dec 21, 2012AD.

Puzzled.

I was reading the May/June 1999 issue of the magazine Archaeology, there is an article about Napoleon in Egypt, it shows drawings of the Sphinx done by Dutertre in the 1800's. What puzzles me is that the Sphinx in the drawings does not look like the Sphinx we see today. The one in the drawing looks like a WOMAN. Check it out. If the drawings are accurate, they prove the Sphinx was reworked by the MiiV.

LOVE

G

May the Hand of the Goddess Always be with You.

 Georgia, I read somewhere that when Napoleon was in Egypt that the Sphinx
was buried under sand. Perhaps the Sphinx you are mentioning is a second one?
I was reading Crowley's Egyptian Tarot last night and it mentions on the Chariot card
there are 4 sphinxs that match the 4 beasts in Bible's Revelations: Eagle, Lion, Bull, Man.
On that Chariot card is a blue/purple canopy that may represent Nuit/Isis.

"Sphinx" = 36 and 3+6=9

So 37 = "Black Madonna" = "Sphinx" + 1

Marc - Pi sends regards. He is relieved to know that there is yet a fulsome understanding of dragons circulating about the globe.

Jan - As for the 5/32 - just for laughs I divided 32 by 5...the result = 6.40 As for the significance...well I gues it makes sense that the mathematical figures derived from the 8x8 chess board should be highly self-referential. Maybe Godel should be consulted.

A recent trot through a variety of chess retail sites reveals a huge variety of styles. Indian, Egyptian, Ming Dynasty, Camelot, Lewis Island, Celtic, Gothic, Napoleonic, American Civil War - too many to enumerate - even a Poker (playing card) Style game. Pi's eyes lit up when we struck gold on one classic set where a dragon substituted for the knight.

Isis, I haven't checked this out; my vague recollection is that the Sphinx was "repaired" at least twice (and possibly more) during the dynastic period. It was also extensively damaged during WWI, and was "repaired" later on during the '20's I think. There is no clear representation today of what the Lady may have originally looked like, unless there are some either undiscovered or possibly suppressed tomb renderings of her likeness.

I'm still bugged by the 5/32nds. When reduced to decimals, it is 0.15625. Wondering if there is something in Gaunt's book with this sequence of numbers in it?

BTW, Holmes, notice how the center square generated by my graph of the Fibonnaci sequence up to 55 focuses on the four center squares of the chess grid d4, d5, e4 and e5. I didn't plan it that way - I hardly could, not knowing what the heck I was doing when I set out to experiment! Interesting nonetheless how it worked out to be the board's center, the focus of much generally accepted chess playing strategy, that also ended up being the focus of my graph.

Refering to the Sphinx, in the drawings by Dutertre, the Sphinx is buried up to it's neck in sand. It also shows men (part of the expedition) standing on the head, the proportions of the men to the Sphinx are similar to the Sphinx on the Giza Plateau. One really must see the photos of the drawings for themself, so if you get a chance go to a local bookstore and look at the pictures in the May/June 1999 issue of Archaeology.

DeLion, does Pi play with Godel? And if he does, does he also play with Godel's friends, Escher and Bach? :-)

LOVE

G

May Manna Always be with You.

 Don ref 889 ... In the Mayan solar glyphs there is one called Imix or Dragon
and it carries the power of Birth. Its color is Red ... the East. The glyph that
pairs with Dragon is Etznab or the Mirror (glyph 18). They both relate to the
planet Neptune the 9th planet when you count the asteriod belt as a planet.

Jan ref 890 sorry I have not had the proper time to pay attention to your
fibinnaci drawing, however I feel there is something you have found.

Georgia ref 891 ... I really like Escher and Bach : )  The link below will take you
to my artwork website and click on the "Escherish" link

Artwork website      http://www.io.com/~borch/phex-art.htm

Bonjour toute monde

Ah, the music of language...and the language of music. Now what could that be?

PI plays with Godel, likes Escher (prefers Picasso) and Bach. Pi however absolutely adores Mozart and finds greater quantities of oxygen in his music. To Pi, experiencing Bach is like stepping into a family fugue - all those dragons chasing their tails. Pi wearies of such things and finds them, as did Godel, inherently futile and exhaustingly contentious.

Pi suggests that Godel could be an important key to Jan's unruly number. Looks like you may have caught a seam in the chessboard Jan, for according to Godel, sooner or later , even the most rigoursly fabricated mathematical systems - or the progeny thereof, (chess being but one example) will betray itself with a mortal inconsistency - an Achilles heel. If this is indeed what we have here, then you are to be congratulated, for unless I miss my guess, (and a guess is what it is for the time being) you have proceeded to uncover what normally goes undetected - or conveniently ignored. This would rank you right up there with Hector (slayer of Achilles).

The fallout from this simple observation provides innumerable mathematical, complications which have modern day philosphers scrambling to evauate the consequences of Godel's spanner in the computational works. Penrose, Dennett and several other researchers into consciousness theory are currently obliged to confront the assymetical facts and despite their expert swordsmanship - have yet to make any significant dent in the Godelian armour. Although we might temporarily overcome the problem of a rebellious mathematical event by finding ways of including it satisfactorily within the purview of a succesively more complex system invention - despite that achievement, somewhere along the line, newer, more powerfully standoffish inconsistencies would inevitably surface on a higher level - thereby necessitating additional permutation, complexity and so on...

Even on the chess board we cannot escape a death of sorts, and alhough chess is inherently rational - and the mathematical anaylsis of the game doubly so - a figment of the irrational is predictively retained within the (in)consistency of the board and the game itself, which, thanks to the likes of Godel, Escher, Bach and JanXena - has the cumulative effect of snaring the hunter/huntress in his or her own net.

Given that rational argument begets its own perimeters and defines itself so to speak - and given that theoretical physicists can only long for the day when post quantum theory overcomes Godelian mathematical inconsistencies - there is ample room in all this to prove, via theistic arguments, that an as yet "unseen Hand" consolidates all the threads of the weave at a singular though vanishing point. So it is a good net to be caught in. Through its own inherent imperfection and inconsistencies - even the rational mind cannot escape the reflection of a "Higher Power" pulling all the strings together.

Of course, rationalism would prove theism. This is the logical outcome of a logical quest. As we know however, the illogical figment that enables this proof contains in itself an infinite quantity of qualities. We know also, that recent research into the naturalistic domain of the heart-body-mind connection does not necessarily pit the seat of human awareness in the corpus collosum. There are new puzzles to solve - and if we should find a diamond mind or heart shaped wheel operating in tandem at the center of the chess board this too would only refelect the distance that everyman must travel in order to attain the Holy Grail of pawn promotion.

There is a horrifying caveat in all of this however - mostly having to do with the current scientific propensity to unravel the coils of DNA towards some practical end. If Godel's basic theorem is unassailably true, within the pure dictums of mathematical logic we have good reason to expect serious imperfections - incalculable grossities stemming from an unbridled tinkering with the reproductive process. The disregarding apologists (representatives of corporate science?) are already in the wings proclaiming the certitude of science in the game of chomosome chess. Those siding with Godel feel it is only a matter of time before this arrogant gambit is hoisted upon its own petard.

Now as I see it, Godel and chess go hand in hand with procreative inevitability even as the God/Goddess looks down upon the mathematical pagent with an all-favouring eye and the wryest of smiles. Extracting from Godel and those modern day philosophers who contend against or conferr with his analogies can only provide a rich harvest of intellectual ingredients - an open door for contemporary musings and extrapolations. But, as Pi reminds me, I am (alas!) but one knight in the face of a many-headed hydra. Who will accompany me on this twelve year mission?

deLion, is Pi going to have a baby? "He" is sounding suspiciously hormonal this morning. Spring fever perhaps? I am quite overcome - to have my name in the same sentence - the same phrase - as Godel, Escher and Bach. Eek! You will give me an even bigger head than I already possess, darling! I am continuing the hunt for the mysterious and provocative origins of the 5/32nds and would certainly welcome the company of a knight errant if you would care to join moi; and with my trusty Xena Magic Compass along for the ride I defy any many-headed hydras to show their numerous faces!

Good Grief! - A pregnant dragon?!! Possibily... Was that #893 morning sickness or just too much Godel Cream Pie before bedtime? Pi has been getting fatter since we arrived here a few weeks ago...now threatens to take over the whole zoo. Please don't feed the dragon. He gets fat but I get the indigestion.

As for 5/32 - on yet another whim, I substituted 360 for 32 and divided by .15625. The result = 56.25. Hmmmm...

Janway - what does this mean? Protractor shields up! Compass drawn! Beaming to offworld chess colony where I will attempt to trace that angle on the 8x8 board.

Chatok'ay, I too would ordinarily have dismissed Pi's queasiness as "the morning after" too much Godel cream pie, but for the brief allusion to "procreative inevitability". Hmmmmm.....

Now that IS a most interesting answer you've come up with, substituting the "circle" (Monad) for the prior denominator and then dividing by the dividend of the prior fraction. Yielding 56.25. 11 and 7; = 18; = 1+8; = 9. The number of ultimate perfection. What about this one? 5/32; = 5/3+2; = 5/5 = 1. Add the one and the ultimate number of perfection and what do you get? The alpha and the omega, 10; = 1+0. I think Pi is most definitely "expecting".

Gerhard sent me an article he is working on for the upcoming September, 1999 meeting of the IGK Group entitled: "Is Chess Really a Royal Game?". He also provided a summary, which I include in this post. The actual article is 16 pages long, so I'm obviously not going to post it here!

Summary

A number of legends, though also many renowned chess historians, have seen the origins of the game of chess in elite circles, namely, gods, kings, priests, philosophers or commanders. There is an obvious, plausible reason for this assumption: Unlike the common people, these elite circles left written documents on the game of chess. However, the author has considerable doubts about the assumption that these classical, elitist search fields are adequate for a comprehensive settlement of the question as to the origins of chess. This is why this article is provocatively entitled: "Is chess really a royal game?" In the course of history a number of elitist circles have been connected with chess, particularly in written documents - either at their own or another's initiative. Starting from this basis it is very tempting to look for the beginnings of the game of chess within these elite circles. With reference to the general survival behaviour of old board games, of which chess is a good example, the author very much doubts that the origins of chess can be found in any elitist circles. In his opinion, the games of the elite generally share the same fate as the elite themselves: they arise in these circles and are cultured there, often becoming a taboo for the common people, before declining together with the elite. The people's games are different, games which arise and develop outside elitist circles. Their genesis and growth depend largely on two necessary components. Firstly, an adequate acceptance and distribution amongst the "gaming" people, i.e. the principle of quantity. This is controlled solely by the people's fun of playing, nothing else, and is decisive for a game's survival. The second component is either the ingenious simplicity of the rules or a marked flexibility of the game, i.e. the principle of quality. The author believes that the game of chess cannot be an invention of elitist circles on account of its very early and widespread distribution and because of its proven flexibility. He is convinced that chess gradually grew in a long, drawn out process, inasmuch as the people who played chess combined various playing principles in a single, unique experiment along the Silk Road, the upshot of which was chess in its many variants. In his opinion, chess like all other games was subject to the law that Darwin had formulated of the world of living creature: survival of the fittest. Accordingly, there this leaves no room for an elitist creation of the game of chess. Nameless players from amongst the people created chess and developed its many variants. These players were not only nameless, they could not write either, unlike the elite circles. This thesis includes the presumption that the inventor of chess will not be found in the long run, and the consolation that an allegedly elitist invention posthumously honours the nameless. Not even the chess revolution of 500 years ago left us the names of those persons who created the new chess pieces of the "Queen" and "Pawn", even though numerous written documents were published on the revolutionised chess. This should be proof enough of the author's assumption.

At the author's wish the chess historian Egbert Meissenburg issued a critical statement to counterbalance an all too one-sided response to the initial question. [If and when I get this reply, depending on length I will post it or parts of it too].

Any questions or comments on Gerhard's premises?

 I just read about 10 Mayan pyramids being found see Pyramid III post 24.
Could these be related to Giza pyramids? There were 7 plazas at this city.

The 10th mayan glyph is "Oc" and carries the power of Heart. Oc relates
to the planet Mercury (Thoth, Hermes).

The 7th mayan glyph is "Manik" and carries the power of Accomplishment.
Manik relates to the planet Earth.

Look what happens when you combine the powers of Oc and Manik you get
power of "Accomplishment of Heart" = 98 = 9+8 = 17 = 10 + 7

"Mayan" = 18 = "Chess" = "Venus" = "Love"       (all of these words sum to 18)

"God" = 17 + ONEself = "Love" 18

"God" + "Goddess" = 45 = 4+5 = 9 = 1+8 = 18 = "Love"

Look what 7 (Earth) and 45 (God/Goddess) look like written in Mayan dot/bar symbols:

O O O -----   7 = 2 + 5

O O ----- 45 = 40 + 5

Notice anything? -- The two dots have been raised or ascended.
The 2nd (two) mayan glyph is called "Ik" and carries the power of Spirit.
It relates to the planet Uranus.

---Watch carefully as our 7, 4&5 dance in the following:

In the 7 chakra system the center 4th chakra is the Heart chakra and is Green.
If you include "As Above ... So Below" then we have a 9 chakra system
that looks like this as Heaven and Earth are bridged:

"Below" "Above"
Earth chakra   +   7 "Human" chakras   +   Heaven chakra

In this system the Heart chakra is the center 5th chakra and it has been raised
from being the 4th by the power of the Earth Goddess chakra.

Jan, in regards to Gerhards article, the information I posted about the Byzantine ship wreck seems to support his theisis that Chess was a game of the people and not just for the elite. The ship was a merchant ship, not a royal barge, transporting Islamic glass for trade. Only a few pieces to the Chess set (provided they are Chess pieces) were found, this could mean the sailors played the game on board ship to pass the time.

Mark, in Graves book The White Goddess, Graves mentions ties between the Mayan god Tlaloc and Dionysus. He ties them together with the use of Toad Stools in their rituals. Very colorful stuff toad stools:-) In your research of the Mayan culture have you come accross any mention of Tlaloc? Curious.

DeLion, I liked the way you brought Godel into the Weave, fitting. You may want to stock up on pickles and ice cream for Pi:-) We could name the baby, Peach Pi:-)

LOVE

G

POSTS 901- 950