## Triple Grand Unity of Chemistry, Geometry and Number Squares

Triple Grand Unity of Chemistry of Geometry and Number Squares. They are also called magical number squares. It’s time to regain contact with mankind’s past. Magic number squares date back to prehistoric times. Wikipedia’s definition of the square is as follows:  In recreational mathematics, a magic square[1] is a {\displaystyle n\times n} square grid (where {\displaystyle n} is the number of cells on each side) filled with distinct positive integers in the range {\displaystyle 1,2,…,n^{2}} such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal.[2] The sum is called the magic constant or magic sum of the magic square. A square grid with {\displaystyle n} cells on each side is said to have order n.

First note the vertical pattern of numbers on the periodic chart:

• Lithium (atomic number 3) minus a hydrogen atom (atomic number 1) = 2.
• Sodium (atomic number 11 under lithium)  minus the 3 = 8.
• Potassium (atomic number 19 under sodium) minus the 11 = 8.
• Rubidium (atomic number 37 under potassium) minus the 19 = 18
• Cesium (atomic number 55 under Rubidium) minus the  37 = 18
• Francium (atomic number 87 under Cesium) minus the 55 = 32.

### Here’s the Triple Grand Unity of the Neolithic Times

Now, let ‘s look at the grid lines of the 3 x 3 number square. It is pictured just under the excerpt from the periodic chart above. . Only number 2 is found directly. Numbers 8, 18 and 32 come as square roots of whole line segments of the grid. Here’s how it works:

• A to F (on the dotted line segment on the left side. Any side will due, of course.) = 2
• The diagonal from points “A” to “E” (where the two dark lines meet at right angles) equals √8.
• Line BD (the entire diagonal of the complete square) equals √18
• Finally triangle ABD or CBD equals √32.

The numbers of the magic square  and the periodic chart  are the same:  2.8.18 and 32. A number of my blogs are about how number squares mathematically display elemental properties. Was this knowledge known to the Neolithic cultures that used number squares? Was there an advanced civilization at one time in the distant past that was destroyed? Possibilities are many. More blogs in the future will deal with this.

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## Neolithic Periodic Chart is Number Squares, Here’s How

Neolithic Periodic Chart is Number Squares. Do number squares point to the existence of a super advanced civilization? Did Atlantis once exist? Was this knowledge destroyed whe the library at Alexandria was burned down? Anyone with a mathematical mind should say yes to all the above. Study the two number squares of the featured picture. Each of the number squares had a planetary association.

• The charactertistic number is what any two opposite numbers total. Any two opposite numbers on the 9 x9 square above total 82. This number number square of the Moon defines the atomic number of the ash of nuclear fission. That is lead-82.
• The characteristic number on the 5 x 5 number square is 26. Iron has a 26 atomic number. Iron defines the limits of nuclear fusion on stars. When enough iron is fused at the core of a star, the star explodes.  That is what creates the heavier elements.

These numbers (26 and 82) point out a relation of fission to fusion. It does so as the ratio of a circle to a diameter. The number π is a mathematical constant, the ratio of a circle‘s circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter “π” since the mid-18th century, though it is also sometimes spelled out as “pi” (/p/).

The circumference of a circle is slightly more than three times as long as its diameter. The exact ratio is called π.  π is commonly defined as the ratio of a circle‘s circumference C to its diameter d:[8]
Let’s look once more at the two characteristic numbers. 1st on the 9 x 9 we have 82. Then on the 5 x 5 we have 26. Next, 82÷26 = 3.1538461…Using number squares, this becomes a close approximation of pi. Pi = 3.14159…What is even more remarkable is how the 3 x 3 number square ties into the formula. Look at the middle vertical column.
• The top number is 9. When squared, it becomes the basis of the 9 x 9 square.
• Just underneath we have the central 5. It becomes the basis of the 5 x 5 square.
• The 1 represents the atomic number of hydrogen.  Number one  is unchageable by squaring. It is the the basic building block of all the elements. The central  9-5-1 column of the 3 x 3 number square is animated in the fisssion-fusion process by their squares.  Ancients knew this. It’s about time we did.

## Greco-Hebraic Bond by Number 3168

Greco-Hebraic Bond by Number 3168. This “3168” figure is virtually ubiquitous throughout the ancient world. John Michell discusses 3168 in City of Revelation. Chapter VII is entitled: 3168, the Perimeter of the Temple.  He also discusses how the number ties into measurement. Here is a brief excerpt.

• 31,680 inches = ½ mile.
• 31,680 feet = 6 miles
• 31,680 furlongs (660 feet) = radius of the Earth (3,960 miles).
• By an ancient science called gematria, the Greeks equated 3168 with “Lord Jesus Christ.” See City of Revelation p.82. This is found in the ancient Greek practice of equating numbers and letters called gematria. Hebrew does the same. So do many ancient languages.

### Greco-Hebraic Bond is Quite Unique

In my featured picture above we have the blueprint and numbers of “the ancient temple plan.” Here we find the Greco-Hebraic bond. This is a source of ancient building. The idea was to draw on the numbers of this blueprint. Whatever units of measure you used didn’t matter. The idea was to draw on the numbers. It could be numbers in shorter Egyptian cubits (1.718 feet) , Palestinian cubits (2.107 feet) , English yards (3 feet) or even megalithic yards (2.72 feet).  Please notice the outer hexagon  numbers 528 on each side. Multiply number 528 by the 6 sides of the hexagon and we have: 528 x 6 = 3168.

You are probably wondering how or where I discovered this ancient temple plan. I found it on beautiful Oquaga Lake. While I was hiking, the Oquaga Spirit offered me the vision in the featured blog picture. This spirit has became a part of my life. This is true even when I am away from Oquaga Lake. I’ve memorized every poem this spirit has dictated. I recite the poems to myself daily. The result was the poetry book entitled, The Oquaga Spirit Speaks. From the Greco-Hebraic bond to wisdom about number squares, the spirit freely offered knowledge to me. In turn I am sharing her knowledge with you.

## Fourfold Celebration While You’re on the Subject

Fourfold Celebration While You’re on the Subject. Why fourfold? The answer goes back to at least Mesolithic times. That is, 9,000 B.C. Number squares were at the basis of ancient cultures. The 1st possible odd number  square is 3 x 3. It has one number at its center. Then comes 4 x 4. It has 4 numbers at its center.Below are the classic outlays of these number squares.

Genesis 1:1  is based on these 2 number squares. God described everyday of creation in the Torah as “good”. In Hebrew the  letters double as numbers.  An example: There was no separate “A” and #1. The Hebrew “aleph”  “אָ”,was both “A” and #1. In this manner, the  word for good, Tov, totals 17. Look up the Greek word, gematria. It defines the common  shared symbols by number and letter.  In Genesis everyday of creation is  described “Tov”.  (good), טוֹב.  it is formed by the math 4 x 4 number square.  Any row of 4 numbers totals 17. Also:

• All potentialities for creation lie at the 4 fold core of this number square;
• The numbers 1 to 16 total 136. Add them one after the other.
• Now look at the square’s 4 central  numbers. Cross multiply each set. Then add them. As-  (10 x 7)  +  (6 x 11) = 136.

Next consideration.  The he 3 x 3 number square defines limits. It confines as it is, at least on appearance, the smallest number square.  On the last day of creation, God used the adjective “very” with the word, good.

“טוֹב “מְאֹד, “Very” has a 45 gematria.

Genesis I: 31 And God saw every thing that He had made, and, behold, it was very good. And there was evening and there was morning, the sixth day. Very “מְאֹד” in Hebrew has a 45 gematria. The numbers 1- 9  total 45. It defines the 1-9 square of three. God limits by this number square. Fourfold blossoms into full potential. The 3 x 3 number square is the smallest. When creation is finished, God draws on the 3 x 3. It limits. Thus, the final day is described as: טוֹב מְאֹד. “Very good.” He created, but he also stopped.

### The Fourfold Celebration of Black Elk

Fourfold is at the basis of the vision of Black Elk. We find another fourfold celebration, He was from the Sioux Oglala tribe. Here is a small excerpt from one of my earlier blogs. For the full story click on the blue heading.

## Black Elk of the Sioux

Black Elk was a medicine man for the Oglala Sioux Indians. He related his story to John Neihardt.  In 1932 Neikhart published Black Elk Speaks: This is an excerpt. “Younger brother,” he said, “with the powers of the four quarters you shall walk”… (quote from an ancient grandfather speaking to Black Elk  in Chapter 3 of Black Elk Speaks). Never overlook the wisdom of our own American Indians.

## Triad Trinity and Temples Play Tick-Tack-Toe?

Triad Trinity and Temples Play Tick-Tack-Toe. Musical Temples Become a  Reality in Tick Tack Toe Design. Here’s how: Right below is a blurry picture of the tick tack toe board blueprint that includes the basis of both the Holy Temples in Jerusalem. The First Temple based on the middle row of 3 vertical boxes. That corresponds to the pictured middle, vertical row of the C – E – G triad. On the 3 x 3 number square,  that relates to 9-5-1. The Second Temple was built to include the entire nine-boxed tick tack toe board. The 2nd temple extends the dimensions of the 1st to the left and right of 9-5-1. The First Temple was 60 x  20 cubits. According to the Tanach (Hebrew for Bible), he 2nd temple becomes 60 x 60 cubits.

Judaism and much of the beliefs of sacred  antiquity springs from this 3 x 3 board. It becomes apparent when the boxes are filled with numbers one to nine arranged so that any row of three totals 15. These 9 boxes, in a parallel way can also hold the  9 tones of the primary triads that define a key.The triad trinity  is named (Vertically left to right) tonic, dominant and sub dominant. In the key of “C”, the tonic is C-E-G. It  rests on the  central vertical row of the number square pictured  below.  Thus:

• The triple-boxed shape of the 1st Temple is likened to the  middle 9-5-1 row of the 3 x 3 square.
• The dominant of G-B-D occupies the same position as the 2-7-6 to the right.
• The sub-dominant of F-A-C. occupies the same position as 4-3-8 to the left.

When used in combination, a triad trinity can be seen as outlining  the boundaries of the 2nd Temple. They also define the primary triads of C major.  The grid can hold the three primary triads of any key signature. These three key defining triads comprise 9 tones altogether.

### So Where else in the Grid Do We Find the Concept of  Musical Temples?

1. The same grid that was the foundation of the  two Jerusalem Temples sets the basic diatonic musical interval of the fifth by vibrations per second. They are A-440 and E- 660.  Take the numbers two at the time. Go around the perimeter either way. Here is how to find the A-440: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. Here is how to find the E- 660. You get the same sum either vertically or horizontally.  (49 + 35 +  81) + reversed as 94 + 53 + 18) + from the other side: (29 + 75 + 61)  + and again reversed (92 + 57 +16) = 660.
2. The basic musical interval from which ancient and modern musical systems is the musical 5th. Our more modern music uses key signatures of the Circle of Fifths. Ancient music used individual tones derived by the actual fifth. The key or core number of the 3 x 3 number square is 5. Any other number placed in the center destroys its symmetry. This is the basis of its sacred order.

### So How Did I Discover This Approach to the Trinity of Triads?

There is an American Indian spiritual presence on Oquaga Lake in the Catskill Mountains. For years I had been the piano player at Scott’s Oquaga Lake House. This spirit would accompany me on walks in wilderness. I call on it by the name of the Oquaga Spirit. On my product page of DSOworks I have some 80 of her poems. It is called, The Oquaga Spirit Speaks. I also have a free thumbnail of me reading the spirit’s poetry. It is on the front page. Here is a sample couplet: If it’s life you wish to live and enjoy to the marrow, then get thee a walking stick and hear the morning sparrow.

# Oquaga Spirit Speaks

## Octahedron Unifies Space Time in Ancient Cultures

Octahedron Unifies Space Time in Ancient Cultures. It does so from an Earthly viewpoint. First of all, what is an octahedron? It is one of the 5 regular polyhedrons. The other 4 are the tetrahedon, icosahedron, cube and dodecahedron. However you view any one of them, it is totally symmetrical. . Together they are also called the Five Platonic Solids. How is the octahedron identified? By its number corners, edges and faces. It has the following:

• 8 faces
• 6 corners
• 12 edges
• These total 26 topological features. See the featured picture above

The octahedron has a non- identical twin brother (or sister). It is called a cube. They don’t look alike. But consider this. The cube has:

• 8 corners
• 12 edges
•  6 faces

The twelve edges are the same in both. Whereas, the number of faces and corners trade places. They are as closely connected as twins. The octahedron pictured below contains a cube. The 6 corners of the octahedron have their points touching the center on the 6 faces of the cube.  For that reason, they are called dual polyhedrons.

### So How is it That the Octahedron Unifies Space Time?

Unfortunately, the Egyptian Library at Alexandria was burned down. Its wisdom describing prehistory was destroyed.  Both the cube and octahedron were considered to be harmonious figures. This thought actually goes back to at least 11,000 B.C. Why harmonious? Because of the numerical relationship of its topology.

• 12 is one-third greater than 8
• 6 is one-third less than 8.
• Eight is the number that defines the musical octave. That is the most harmonious and fundamental overtone of the entire overtone series. Guy Murchie thoroughly explains this in his two volumes of The Music of the Spheres.

### How Does This Knowledge Date Back to Prehistoric Times?

The holiest sites of antiquity were designed as cubes or square base pyramids. The square base upright pyramid is found in the top half of the octahedron. Although the bottom half is not there, it is implied. As a cube, the Biblical Holy of Holies was set in back third of Solomon’s Temple. The total  rectangular perimeter of  the temple was 60 x 20 cubits.  The 20 x 20 cubit back  third becomes cubic. Also, the Ka-aba in Arabic literally means, cube.

Much of the  world order of antiquity was destroyed. The cause was invaders from Afghanistan. The invaders were called Kurgans.  Riane Eisler discusses this her The Chalice and the Blade.

What was the purpose of these Holy Sites? – To spread harmony and peace throughout the world. This was effected by their geometric harmony. Since many were destroyed, war has ensued. In unity we find peace. In division we find war. The octahedron unifies space time. It defines space as a geometric form.  How does it define time? Each vertex of the regular triangles holds 60°. The 4 upper triangles of the octahedron have a total of 12 vertices. 12 x 60° = 720°. The lower 4 triangles total 12 vertices. They  also total 720°. The upper 4 triangles represent the 720 minutes in 12 hours of daytime at the equinox. The lower 4 triangles represent 720 minutes contained in 12 hours of nighttime also marked by the equinox.

Conclusion: Look for harmonious  models. Base civilization on  these models. Peace follows. The ancients did in through geometry. The same can also help us today.

## Irish Mile and Landscape Come Together

Irish Mile and Landscape Come Together. First, let’s define terms.

• What is an Irish mile? An Irish mile measures 6,720 feet. This is listed in Ancient Metrology by John Michell.

• Where does the 6.720 foot Irish mile stem from? At one time this was common knowledge. I redicovered it on Oquaga Lake thanks to a spirit that dwells on and around the lake (picture below). She also dictated an entire book of poetry, It is called The Oquaga Spirit Speaks, available on DSOworks.com For this blog I copy an excerpt from my last blog about the Welsh mile.
This is also a modern representation of the Lo Shu square as a magic square.

First, a quick review of the Welsh mile: Numbers of this square were typically divided into two sections. They were the corner of 4 numbers and the left over gnomon of 5 numbers. Different civilizations used different corners and gnomons. For the Welsh mile, remove the 4 number corner of 9,2,5 and 7. Then multiply the left over  gnomon as 4 x 3 x 9 x 1 x 6  = 576. . For the tenfold number of 5760, a synthetic zero was added. I must first ask my reader to note, the square has no number 10. It consists only of the first nine digits. This is because 10  was a synthetic number: Any two of the opposite digits on the 3 x 3 square total 10. These include 4 + 6;  3 + 7;  2 + 8; and  9 + 1. Zero was not considered to be a freely existing number for that reason.This number as the Welsh mile was given measure by the English 12 inch foot.  My source for the Welsh mile is Ancient Metrology by John Michell.

### SO WHERE IS THE 5,760 FOOT LONG IRISH MILE?

Look to the same number square pictured above. We will just take different corner and gnomon. For the Irish mile, multiply the gnomon numbers 2 x 7 x 6 x 1 8 = 672. Again, like the Welsh mile, we add the synthetic zero.  The coindicence of this gnomon/corner division goes even deeper for Ireland. The due East-West line through the center of Ireland neatly fits into the overall landscape of a pentagon . This is pictured in the book: Twelve Tribe Nations and the Science of Enchanting the Landscape. It is written by John Michell and Christone Rhone. Now once more  back to our universally used Neolithic number square. Multiply the four corner numbers as 4 x 9 x 3 x 5 = 540. That states the number of degrees in a pentagon. Thus the following comes out of this particular gnomic/corner division: Not only the length of the Irish mile; but the shape of the pentagon employed that this mile measured.

I believe these re-discoveries will reinstitute a new vision for peace and harmony based on this common source for our sciences and arts. May the Oquaga Spirit be with you!

## Spider, Surya Yantra and 3 x 3 number square

Spider, Surya Yantra and 3 x 3 number square. Symbols are imbued with power. The spider is highly significant in this regard. With its power, its bite can be anywhere from annoying to deadly. As a symbol it also is highly representative. Throughout history, spiders have been depicted in popular culture, mythology and in symbolism. From Greek mythology to African folklore, the spider has been used to represent a variety of things, and endures into the present day, It characterizes, among others,  Shelob from The Lord of the Rings and spider man from the eponymous comic series.

The basic becomes the most complex. The cosmos, including the spider, grows out of this 3 x 3 grain of mustard seed.

On the Hebriac Tree of Life, the heart is Tifereth. The span of Tifereth is Paradise. Buddha made this construct into the Eightfold noble path. On a parallel note, at the embryo of the I Ching are eight trigrams. They, like the Tree of Life, are also arranged as an octagon around a center. I offer the following quotation below from my, The Staff of God Volume I.

### SYMBOL OF THE SPIDER TRANSCENDS RELIGIONS

The eight trigrams were invented by the mytholoical emporer Fu-Hsi
His dates were from 2953-2838 B.C.
He was the 1st of the 5 emporers of China’s legendary period.
Parallel: At the center of 8 numbers on the square of three, sits number 5.

Emporer Fu-shi saw the I Ching marking on the back of a divine tortise.
Which is said to have inspired the 8 trigrams
On the tortise, dots replaced the numbers.
Dark dots were yin. Light dots were yang.

My thought is at one time in pre-history, knowledge of the 3 x 3 number square was more complete. Today, most are totally ignorant of its importance. It unified mankind.  In this unity, peace was found. I hope we can restore this lost knowledge to bring about a new Golden Age. I think all of us deserve nothing less. Peace be with you.

## Alchemists Looked to Neolithic Number Squares

Alchemists Looked to Neolithic Number Squares. Neolithic and even earlier Mesolithic builders took their inspiration from number squares. They placed their characteristic numbers into foundations. I’ve blogged about Lepenski Vir.Here is an excerpt from one:

Lepenski Vir is Proof of the use and understanding of an Ancient Number Square.  A Mesolithic site on the Blue Danube used the codes of the square of three.  Lepenski Vir (Лепенски Вир, Lepen Whirl) is an important Mesolithic archaeological site located in Serbia in central Balkan peninsula The latest radiocarbon and AMS data suggests that the chronology of Lepenski Vir is compressed between 9500/7200-6000 BC.

The entire foundation area  is framed by a roughly rectangular shape frame of 185 x 55 yards. Over 1000’s of years the same dimensions have been used for many construction projects.  Some examples:

• 185 yards equals 555 feet. George Washington’s Monument is  555 feet tall.
• The blueprint of the Great Pyramid of Egypt dates back to 2,750 B.C. It is formed by interlocking two circles center to center. They each are 555 feet feet in diameter. Author John Michell wrote extensively about this subject. I was enlightened on the hidden codes on Oquaga Lake, not by John Michell, but by a spirit from the Lennie Lenape tribe on Oquaga Lake.

Here is some samples of how to find the 555 code: Take two sets of three opposite numbers. Add them together. Then divide them by two for an average: Examples are 492 + 618 = 1110. Divided by two = 555. Another example, 834 + 276 = 1110, Divided by two = 555. The middle 951 is added to itself backwards as 159 + 951 = 1110. Divided by 2 = 555. Ths simple number square is also the most complex. The builders of its ancient foundation in Yugoslavia totally understood this. Now for some mathematical fun:

### ALCHEMISTS USED NUMBER SQUARES TO TURN LEAD INTO GOLD

Here’s what the alchemists thought of number squares and of this square in particular : (1) They  unified all the sciences and arts. (2) They were thought to hold  the elusive secret of turning lead into gold.

• Each of the 7 known planets in antiquity was represented by the banner of a number square and a metal. Saturn’s was the featured 3 x 3 and metal, lead . The Sun was the 6 x 6 and gold.
• The Sun, square (gold)  totalled numbers 1 through 36. Add these numbers 1 + 2 + 3 …through  36. They total the Biblical 666. Saturn’s (lead) were 1 – 9. They total 45. This is 621 less than the other total However:
• Let’s add the alchemical fusion of numbers to the square of Saturn. We will consider the numbers three at the time. This will be done vertically and horizontally.

(1) horizontally: 492 + 618 = 1110.    816 + 294 = 1110.  Any number that crosses the cenral three at the time is its own number backwards. (This is so much like the triplet codons of the RNA-DNA code.) Thus, 357 + 753 = 1110, The horizontal total is 3330. Now let’s look at the vertical total:

(2) Vertically: 438 + 672 = 1110. 276 + 834 = 1110,   951 + 159 = 1110. The vertical total is 3330.

(3) Finally, add vertical and horizontal totals together as the alchemists did: 3330 + 3330 = 6660. Zero was a synthetic number in antiquity. It was formed by the combination of any two opposite numbers on the 3 x 3 square. The numbers on the square were the 9 prime numbers.  Ten was a synthetic number combination as 9 + 1; or 3 + 7 etc. Ten was not an entity in and of itself. Thus, by the association with the not so obvious code of the square of three of Saturn; we have just equated it with the  numerical properties of the square of the Sun by common number.  We have just turned the lead of Saturn into the gold of the Sun. Most certainly, this is a wonderful symbolic thought. It is a refinement  of baser qualities (lead) into higher and noble qualities (gold) .

## Atlantean Leanings on the 3 x 3 Number Square

Atlantean Leanings on the 3 x 3 Number Square. This will require many blogs. First, learn two hidden ways of reading this number square given below.  Many of my blogs are about its codes. They extend to infinity. Atlantis and its history animates this square.  Most obvious, King Uranus had 45 children by different wives. The totals the numbers of the featured square  (numbers 1 thru 9). Ancients recognized not only the obvious code where any row of three totals 15,  but two hidden codes. This gave rise to three centers and three perimeters. Notice, the illustration below has three land masses (centers) surrounded by three canals (perimeters). The obvious one is 5 surrounded by the 8 numbers that total 40. Here are two more:

• View the square by 3 numbers at the time. Pair them by opposites. Also, any three numbers that cross the center is its own opposite number. Their sum is always 1,110. Example, 492 + 618 = 1,110.  Or, 951 + 159 = 1,110. The center becomes 555. The four sides of the perimeter total 2,220.
• View the square 2 numbers at the time by opposites. Any two numbers that crosses the center are paired in the same row. The sum is always 110. Thus, 49 + 61 = 110. Or, 35 + 75 = 110.              The 110 can be pulled out of the square in 16 ways. Thus, 16 X 110 = 1,760. The center then becomes 55. It is surrounded by 440.

### A map showing the supposed extent of the Atlantean Empire. From Ignatius L. Donnelly‘s Atlantis: the Antediluvian World, 1882.[48]

Another demonstration of the square and Atlantis involves the Titans. There were 18 of them as opposed to 27 other children. Both totals demonstrate properties of the 3 x 3 number square. Let’s play tick-tack-toe: The length or width of the square is the length of 3 boxes. The diagonal becomes 1,412…. times longer than the length of any of the square’s sides. The length of the diagonal of a square is expressed by  √2 x the length of a side. In this case, √2  x 3 = 4.24264…It just so happens that 4.24264…when squared equals 18. We have the 18 Titans.  I’ve also blogged about how 18, and the entire  number square structures the periodic chart.  In the case of the present blog, it shows Atlantean mastery of the 3 x 3 square.

### So Where are the other Atlantean 27 Children, You Ask?

The 3 x 3 magic square has three manifestations primarily used by the ancients. They are by ones, tens and hundreds. It takes three tick-tack-toe boards to define this characteristic. Thus 3 x 9 (boxes per manifestation) = 27. Watch for more blogs on Atlantis. Since this is my 250th blog, I felt it had to be special.  Enjoy!