The Painted Hall of the Altamira Cave houses houses a prehistoric gallery. It was discovered in 1868. Since then, the floor has been lowered. This was to study the painted animals on the low ceiling at the time of the discovery. The floor measures 60 feet in length to 30 feet in width. My source for the dimensions is The Atlas of Legendary Places by James Harpur and Jennifer Westwood. The 12″ foot is the intended unit of measure. In fact, this now called “English” foot dates back to an indeterminable distant past. At the British Museum you can find several examples of a cubic inch of gold. It was the standard of weight ancient Greece, Babylon, and Egypt. Here’s how a segmented foot appears on the cube:
A cube has 12 edges.
Twelve edges of one inch per side = 12″= 1 foot.
Measurement Message from the 60 x 30 foot foundation of the Painted Hall
Musicians will most likely notice the 2 to 1 ratio of the floor’s proportions. These same proportions were recommended by Pythagoras. 10.500 years later this Greek philosopher stated the same ratio, after the unison, was most harmonious : The perfect interval of not the same tone (unison) and 1st overtone is the octave. It vibrates in a 2:1 ratio. The designers of the cave exhibition most likely knew this.
Its measure is the product of basic consecutive numbers. 5 x 6 = 30 (the width in feet). 3 x 4 x 5 = 60 (the length in feet). Very important: The formula for the megalithic yard uses all fives and sixes: (5 x 6) ÷ ( 5 + 6) = 2.727272… One megalithic yard is 2.72 feet. The builders of the Great Hall of Altamira knew this.
2nd factor uses 3,4,5 as 3 x 4 x 5 = 60. Numbers 3, 4 and 5 are the basis of the Pythagorean Theorem: 3² x 4² = 5². Also, look at the musical intervals above. These 3,4, and 5 factors figure into these basic harmonious intervals: 4:3 = perfect fourth. 5:4 = the major third.
The diagonal of the 30 x 60 rectangle would be 67 feet. The perimeter around this first half triangle is :30 + 60 + 67 = 157 feet. This figure (157) is one half of the pi figure of 314 made by the triangles made from a diagonal in a rectangle.
Conclusion: The wisdom of a lost civilization is preserved in measure at the Cave of Altamira. Perhaps the builders and artists were the survivors of Atlantis? Measurement message and music message are there. Of course, that the advanced artwork is there is a given!
Look at the odd numbered number squares of antiquity. In this regard, we view:
The 3 x 3 number square of Saturn.
The 5 x 5 number square of Mars.
The 7 x 7 number square of Venus.
The 9 x 9 number square of the Moon.
Hidden Periodic Chart Sequence –
What is the Sequence? It is the vertical difference in numbers set by the first row of the chart. We have the following:
Incredible Symmetry Between the Periodic Chart and Odd Numbered Squares of the Ancients
The master number square of the ancients is the 3 x 3. Please check the internal link below for further explanation through geometry. It also holds the vertical sequence in code by the lines of its graph. However it incredibly sets the numerical pattern in motion. The total picture of illustrated by squares of Saturn, Venus, Mars and the Moon clearly reveal the numbers of the periodic sequence. Thus we have the sequence by geometrical ratios and by actual numbers.
Hidden Periodic Chart Sequence is Uncovered in Odd Number Squares
The ancient number square sequence is in the same perfect order. View the odd numbered squares as follows: Locate the one number in the center of the oddly numbered squares. Then look diagonally at two numbers as follows: (1) Immediately above and to the right. (2) Immediately below and to the left.
Here are the first two such diagonal numbers of the 3 x 3 Square of Saturn: 2 and 8.
Next look at the 5 x 5 of Mars. We have the 8 and 18 in diagonal with the central 13.
Next we have the 7 x 7 of Venus. We have the 18 and the 32 in diagonal with the center. That completes the main defining numbers of the periodic chart however, let’s continue the sequence.
Look at the 9 x 9 of the Moon. We have 32 and 50. Here is a special case. When we add 32 + 50 = 82. This is the highest atomic number of a non-radioactive element. It effectively completes the stable elemental series.
Why the planetary associations? This does not prove a lost ancient, advanced civilization that used number squares instead of our periodic chart. But it makes the likelihood slightly greater than previously thought.
Poetry Foreshadows Romanticism in a Major Way. By encouraging poetic expression, you enable Romanticism. What qualities are then enhanced with Romanticism?:
Romanticism in the fine arts is feeling oriented: That is, feelings on a grand scale. German painter and author Caspar David Friedrich expresses it this way: The artist’s feeling is his law”. Our featured picture was painted by the same C.P. Friedrich.
Poetry Foreshadows Romanticism for Me
The featured painting parallels an inspiration I was given about fog. A spirit on Oquaga Lake dictated her poetry to me. I was the piano player for many years at Scott’s Oquaga Lake House. This employment covered some 15 summer seasons. The poetry book is called The Oquaga Spirit Speaks. I have memorized every poem. At sometime in the future, I will do recitations. The Catskills Mountains in New York have inspired many writers. Among them we find Washington Irving. Below is an internal link.
Oquaga Lake was once inhabited by American Indians. The tribe was the Lennie Lenape. Women ran the tribe. I believe the spirit of the lake is an American Indian female. Fingers of Fog a sample of the poetry she related to me.
Washington Irving Archives – DSO Works
Washington Irving was among them. He wrote The Legend of Sleepy Hollow. Washington Irving (April 3, 1783 – November 28, 1859) was an American short …
Fingers of Fog
Fingers of fog moving quickly
Gliding across the lake.
Almost at jogging speed
Leaving no apparent wake.
Why are they scampering about
At this early morning time?
Thousand of fingers in motions
Moving gracefully with rhyme.
Perhaps each one is a spirit
Released from the depths of the spring:
Enjoying an hour of freedom
Almost ready to take wing.
This spring fed lake is enchanted,
As such water bodies are.
I actually saw its essence-
While viewing the Morning Star.
Five hundred fortieth post is all About Man. Here’s the story as an excerpt from my The Staff of God Vol II. A number of Middle Eastern languages have the same symbol for numbers and letters. In this manner a numerical value can be equated with a particular number. This is called by the ancient Greek word, gematria.
Five hundred Fortieth Post Numerically Parallels the 5 Sided Pentagon
The gematria of the first man, Adam is 45.
This number has kinship with the 3 x 3 number square.
The sum of the numbers that comprise the square,
Being the sum 1 thru 9, totals 45.
The word for Adam is actually set up like the square.
Aleph = 1; dalet = 4; and mem = 40.
Aleph + dalet total the central 5.
Mem equals the sum of the perimeter of 40.
The square of three is like a lump of clay,
From which right and left limbs can be molded.
Using polarities up and down by hundreds
Example, 951 + 159, total 1110.
(That is the sum of 555 + 555)
Multiple balanced polarities can take the shape
As with the 951 axis of the head and torso:
438 + 672 can be viewed as the left and right arms.
The reverse 834 + 276 can be the left and right legs.
(all sums equal 1110.)
Five hundred fortieth post
The 3 x 3 number square utilizes opposite polarities by number. Man’s polarities are left and right: Arms and legs swing back and forth while walking. Power in martial art utilizes strength through polarity: One arm thrusts forward while the other goes backward in a set manner.
Here is an internal. The 1st sentence of Genesis uses three polarities. One is obvious and two are hidden:
By single numbers the perimeter is 40.
Double and overlap the perimeter numbers. You get 440.
Triple and overlap the perimeter numbers corner to corner. You get 2,220. The total of the 3 perimeters is 2700.
Add all three totals The 1st sentence of Genesis totals 2,701. Thus, 40 + 440 + 2220 = 2700. We add the One to the opening sentence of the Torah.
Remen Measure was Known by Moses. According to the Hebrew Bible, he was adopted by an Egyptian princess. Later in life became the leader of the Israelites and lawgiver. He is generally credited with the authorship of the Torah, or acquisition of the Torah. His position in Egypt gave him access to knowledge possessed by the higher echelons of royalty. He knew source of the remen, in at least two different mathematical ways, is the 3 x 3 number square.
Canon of measures Archives – DSO Works
Jay Hambidge discovered a canon of measures in antiquity. This was at the turn of the 1900’s. The Egyptian remen is the basis of most ancient measure. The remen, when multiplied by the square roots of basic numbers (2,3,4,5,6,..) create the ancient measures in terms of the 12″ foot.
1.2165 feet = 1 remen
1.2165 feet x √2 = 1.72 feet – one royal cubit
1.2165 feet x √3 = 2.107 feet- one Palestinian cubit
1.2165 feet x √4 = 2.43 feet – one Roman pace
1.2165 feet x √5 = 2.72 feet – one megalithic yard etc., up to…
Here is the 1st approach to the Remen measure:
Add the numbers around the central 5 (I term these numbers p1 which stands for perimeter one). The eight numbers total 40.
Then add them two at the time overlapping the numbers. I call this p-2. This stands for perimeter two: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. Now take the number three at the time.
Add them 3 at the time. Overlap the corners. I call this p-3. This stands for perimeter three: 492 + 276 + 618 + 834 = 2,220. Then (p-1) is 40 + (P-2) is 440 + ( P-3) 2,220 = 2700.
Finally, divide the 2700 total of p1 + p2 + p3 by/ p3(2220): Thus, 40 + 440 + 2220/2220 = 1.2162…virtually one Egyptian remen.
2nd Approach to Arriving at the Remen Measure
Add the numbers on the square above three at the time. Do this vertically and horizontally as follows:
Next, total the single numbers, 1 to 9, in the number square:
1 + 2 + 3+ 4+ 5+ 6+ 7+8 + 9 = 45.
Take the sum of the vertical and horizontal totals given above: 3330 + 3330 = 6660, Then divide 6660 by the 45 total. The quotient is 148. The square root of 148 is exactly the numbers of 10 Egyptian remens by number= 12.165…
For the 2nd way, 148 is the key number. So, how does this tie into Moses? In Hebrew Passover is spelled פסח. The 1st letter (pei) is the glyph for 80. The 2nd (sameck) is the glyph for 60. The third (chet) represents 8. Thus, 80 + 60 + 8 = 148. Passover and the remen measure are thus tied together.
How did I learn to work the mathematical intricacies of the 3 x 3 number square? From an American Indian spirit on Oquaga Lake. She was of the Lennie Lenape tribe. On walks in the Oquaga Lake area, the spirit communicated ancient secrets to me. The tribe once lived around the lake. I was the house piano player at Scott’s Oquaga Lake House.
Measurement Overview by the Traditional 3 x 3 Square. This simplest of number squares has an infinity of hidden number codes. I currently have some 535 posts on DSOworks.com. They are divided primarily between music and this simplest of of ancient number squares. Of course, music and measure overlap. With so many blogs, perspective is difficult. Who has the time to even quickly glance at so much material? The purpose of this blog is simply to provide a measurement overview of the source of measures. A few of the hidden codes are in this internal link.
With Troy, here is the computation. Follow the numbers on the square. 43 + 67 = 110. Backwards 34 + 76 = 110. Total is 220. This works with any opposite columns of two numbers. Megalithic yards were assigned to this number. It defines the length rectangular part of the citadel.
Next, take two numbers at the time again as follows. Watch the number square with three pairs of numbers. 49 + 35 + 81 = 165. Take them in reverse: 94 + 53 + 18 = 165. It works the same way if you work the numbers horizontally.
Both actual measurements of ancient sites and units of measurement came from the 3 x 3 number square. It was once the backbone of a civilization that was destroyed by a cataclysm. A Golden age of peace and plenty once marked this time. Perhaps it is time to return to a Golden Age guided by a simple number square?
Golden Age (disambiguation) – Wikipedia https://en.wikipedia.org/wiki/Golden_Age_(disambiguation)
Golden Age refers to a mythological period of primeval human existence. It was perceived as an ideal state. Human beings were pure and free from suffering. Golden Age may also refer to: Golden age (metaphor), the classical term used as period of perceived greatness.
Measurement Overview – a Partial List
Here a few of the measures mathematically derived from this number square. Review many of them on DSOworks.com. Type in the keyword.
Geometrical Theology Relates to Number Squares. God is an infinite circle whose center is everywhere and whose circumference is nowhere. This was stated by Nicholas Cuse- Nicholas of Cusa (1401 – August 11, 1464) was a Germanphilosopher, theologian, jurist, astronomer, cardinal and mystic of the Catholic Church. . Later Voltaire quoted the same definition. Voltaire rejected Blaise Pascal‘s philosophy of man’s depravity. He tried to steer a middle course: That meant that man was able to find moral virtue through reason. Because of this criticism of the church, he was denied burial in church ground. I use these two examples for the quote. for two contrasting reasons
This is because the quote by Nicholas was religious and traditional.
Voltaire’s was not religious in a traditional sense.
This blog offers a novel interpretation of the above quote. An archaeologist digs for lost artifacts. A philosopher digs for lost knowledge. There is only one number square whose center is everywhere. You could say the center even usurps the circumference when the square is encased by concentric circles. This is as illustrated in the featured picture.
How Geometrical Theology Relates to the 4 x 4 Number Square
Both the center and circumference of the of the 4 x 4 number square are filled by the essence of number 34. First, at the central point of any even number square are four numbers. This first even 4 x 4 square is the prime example. 7,10,11 and 6 occupy the center. Center’s sum = 34. Any straight row of 4 numbers also totals 34. This also applies to the four rows that make the perimeter. Hence each of the the four quadrants of the circle around this number square total 34. Thirty-four is one of the Fibonacci numbers.
Center total: 7 + 10 + 6 + 11 = 34.
Quadrant Perimeter totals:
4 + 14 + 15 + 1 =34.
1 + 12 + 8 + 13 = 34
13 + 3 + 2 + 16 = 34
Finally, 16 + 5 + 9 + 4 = 34.
More on Geometrical Theology Based on Number 34
If God’s center is everywhere, that means it is also defines the circumference. The center is literally everywhere in this number square. Therefore, this number square becomes the numerical symbolic translation of the featured quote: God is an infinite circle whose center is everywhere and whose circumference is nowhere. The center by number 34 occupies the quadrants of the the circumference. Also see internal link below.
Remarkable Foursome is a Mathematical Wonder. It presents quite a take on the Fibonacci number series. It develops into what is called the Golden Ratio. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. The Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. What sequence defines this series? Eventually the second of two consecutive numbers divided by the 1st = the Golden ratio: φ is the symbol for this ratio.
In mathematics, the Fibonacci numbers are the numbers in a specific integer sequence. Their defining feature is every number after the first two is the sum of the two preceding ones:}
At 1st glance the “foursome” number square and Fibonacci seem in-congruent. But the remarkable foursome fuses the numbers on the 4 x 4 square as follows: Examine it numbers vertically left to right:
First row: 4 + 9 = 13. Then 5 + 16 = 21.
Second row: 14 + 7 = 21. Then 11 + 2 = 13.
Third row 15 + 6 =21. Then 10 + 3 = 13.
Fourth row: 1 + 12 = 13. Then 7 + 13 = 21.
All total are either 13 or 21. Of course, 13 = 21 = 34. This is just the tip of the iceberg. Fibonacci numbers on the square go further. Again look at the numbers vertically. Consider the four vertical rows again. This time add every other number as follows:
Row one: 4 + 5 = 9. Then 9 + 16 = 25.
Row two: 14 + 11 = 25. Then 7 + 2 = 9.
Row three: 15 + 10 = 25. Then 6 + 3 = 9.
Row four. 1 + 8 = 9. Then 12 + 13 = 25.
I know what my reader is thinking: 25 and 9 are not in the Fibonacci series. But, yes they are. Three and five are both Fibonacci numbers:
3² = 9.
5² = 25.
Mathematician Mark Barr proposed using the first letter in the name of Greek sculptor Phidias, phi, to symbolize the golden ratio. Usually, the lowercase form (φ or φ) is used.
Michael Maestlin, first to publish a decimal approximation of the golden ratio, in 1597.
The golden ratio has been claimed to have held a special fascination for at least 2,400 years, although without reliable evidence. According to Mario Livio.
Number Square of the Remarkable Foursome
Number squares were once the backbone of a lost civilization. This time marked a Golden Age of peace and plenty. Tradition associates the 4 x 4 number square with Jupiter. Each planet had its own set of numbers. Jupiter was the leader of the Olympian Gods; Jupiter means “Jovial King” and/or “Father of Thunder.” Jupiter is associated with luck and good fortune. It is the mentor/Guru /teacher of gods. More on internal link below.
Different Takes on Different Years on Faith by the Spirit. I spent many summers on Oquaga Lake. My work was as a house piano player. This was at Scott’s Oquaga Lake House. A talkative spirit made itself known at the Lake House. It communicated by poetry.
In the 1980’s it preferred quatrains in iambic pentameter. No rhyme was used. This poetry collection is called “The Book of Balance.”
In the 1990s this spirit spoke in quatrains. Rhyme and triple meter were used. This poetic anthology is called “The Oquaga Spirit Speaks.” It is available as a product on DSOworks.com.
This post and one to follow will present poems on the subject of faith. One will be from each collection. Also, an internal link is immediately below. It offers background on the spirit. I think it is a female from the Lennie Lenape Tribe.
“Faith” – Different takes. Here is the earlier one of 1985
The wise know that the Sun shines behind the clouds.
Though the day be dark, they believe in light.
Knowing that clouds, no matter how thick, will disperse;
And clouds are only temporal; while the Sun endures.
Those without faith falter when the skies darken.
Seeing the heavens overcast, they forget the source.
And become despondent, thinking the day is done.
Their sight is stopped short by mere fluffy veils.
Those unfortunates scoff at the utopian belief in faith.
For them the vapor of clouds is more real than the divine.
And if there is no overcast, they’ll sow the seeds of rain;
Making reality confirm to the clouds in their heads.
Clouds are but thin impostors above us.
A mask to fool those of little faith.
For even in the thick of a full-fledged storm.
The eternal source of happiness is somewhere shining.
Faith requires the patience to out wait the darkness.
The fury of winds, rain and hail combined
Often come to test the tenacity of man.
But in the face of faith, the storm will fade.
It’s fun to speculate. This is true- be it for thoughts or gold. Both can be immensely satisfying. That being said, I have a source for this blog: Physicist Aryeh Kaplan in “The Book of Creation.” As a matter of fact, he was the youngest physicist ever employed by the United States government.
Kaplan explains cycles of seven in cosmic timing. For example, the 1st Temple stood for 410 years. During this period Israel observed seven jubilees. The extended jubilee period lasts 49,000 years. Seven such periods lasts 343,000 years. These are divine years. A Divine Year lasts 365,250 earthly years. Based on these statistics we have:
The total time between the initial expansion and collapse of the Universe is 125,287,500,000 years. Kaplan states this figure is very close to scientific speculation. That corresponds to approximately 125 billion years.
Using this computation, eventually human life span will be expanded to the order of eighty million years! Certainly, Ira Gershwin’s lyrics would have to be rewritten: No gal will give in to no man what’s eighty million years.
My contribution to the topic of sevens includes the 7 primary number squares. I believe at one time they structured a lost Golden Age of peace and plenty. Primary planetary number squares were numbered from 3 x 3 to 9 x 9.
The first Christians were not insensitive to number seven. Add all the numbers (1-49) in the 7 x 7 number square. They total 1225. It so happens that 12/25 is Christmas Day. Check out my internal link to read more. Please feel free to share.