Post by Don Barone on Jun 18, 2018 9:15:03 GMT -5
Hi all ... well I just can't stop can I. I started a post over at Ma'at but it seems it is going to yield maybe more than I thought so I figured I better transfer it here.
Pi in Sumeria in late 4th millennium B.C.E
Posted by: Don Barone (IP Logged)
Date: June 17, 2018 12:30PM
I have started to look for measurements in Ancient Sumer and they are unfortunately as rare as hen's teeth however there is one place that has given us measurements and that is the temple that sat atop ... well here is the quote:
Within Uruk, the greatest monument was the Anu Ziggurat on which the White Temple was built. Dating to the late 4th millennium B.C.E. (the Late Uruk Period, or Uruk III) and dedicated to the sky god Anu, this temple would have towered well above (approximately 40 feet) the flat plain of Uruk, and been visible from a great distance—even over the defensive walls of the city.
and a bit more with the measurements ...
The White Temple:
The White temple was rectangular, measuring 17.5 x 22.3 meters and, at its corners, oriented to the cardinal points. It is a typical Uruk “high temple (Hochtempel)” type with a tri-partite plan: a long rectangular central hall with rooms on either side (plan). The White Temple had three entrances, none of which faced the ziggurat ramp directly. Visitors would have needed to walk around the temple, appreciating its bright façade and the powerful view, and likely gained access to the interior in a “bent axis” approach (where one would have to turn 90 degrees to face the altar), a typical arrangement for Ancient Near Eastern temples.
Well like any good numerologist I immediately tried to see if I could find a ratio and so I divided 22.3 by 17.5 and got ... 1.2742857142857 and becasue of the recurring decimals shows that it is a multiple or has been divided by 7 ... HOWEVER WHERE THERE IS 7 THERE IS USUALLY PI and so since the reciprocal of this number was 0.7847534 I decided to see how close 4 and Pi would be and got this result ...
22.3 / 4 = 5.575 (awfully close to seked 5.5 don't you think ?
5.575 * pi = 17.51
Well I decided to lighten your burden just a bit of having to believe in pi and give you this information from Wiki ...
In 1916, during the last years of the Ottoman Empire and in the middle of World War I, the German assyriologist Eckhard Unger found a copper-alloy bar while excavating at Nippur. The bar dates from c. 2650 BC and Unger claimed it was used as a measurement standard. This irregularly formed and irregularly marked graduated rule supposedly defined the Sumerian cubit as about 518.6 mm (20.42 in).
Now 22.3 is 877.95 inches and divided by 20.42 = 42.995 so I think we could be fairly accurate and say that this side was supposed to be 43 Nippur Cubits
would the other side yield a similar even amount ...
17.50 meters = 689.98 inches and divide by 20.42 = 33.74 so I think we can say the temple was supposed to measure 43 Nippur Cubits (886.66 inches or 22.52 meters) by 33.75 Nippur Cubits ( 689.175 inches or 17.505 meters)
43 / 33.75 = 1.2741
4 / Pi = 1.2732
So one could assume that in Ancient Sumeria they had come up with a simple way of calling Pi ... it would be 43 / 33.75 or to make all things even they would have:
172 / 135 = Pi ratio
172 = 4
135 = Pi
I didn't know that ... did you ?
Pi in Sumeria in late 4th millennium B.C.E
Posted by: Don Barone (IP Logged)
Date: June 17, 2018 12:30PM
I have started to look for measurements in Ancient Sumer and they are unfortunately as rare as hen's teeth however there is one place that has given us measurements and that is the temple that sat atop ... well here is the quote:
Within Uruk, the greatest monument was the Anu Ziggurat on which the White Temple was built. Dating to the late 4th millennium B.C.E. (the Late Uruk Period, or Uruk III) and dedicated to the sky god Anu, this temple would have towered well above (approximately 40 feet) the flat plain of Uruk, and been visible from a great distance—even over the defensive walls of the city.
and a bit more with the measurements ...
The White Temple:
The White temple was rectangular, measuring 17.5 x 22.3 meters and, at its corners, oriented to the cardinal points. It is a typical Uruk “high temple (Hochtempel)” type with a tri-partite plan: a long rectangular central hall with rooms on either side (plan). The White Temple had three entrances, none of which faced the ziggurat ramp directly. Visitors would have needed to walk around the temple, appreciating its bright façade and the powerful view, and likely gained access to the interior in a “bent axis” approach (where one would have to turn 90 degrees to face the altar), a typical arrangement for Ancient Near Eastern temples.
Well like any good numerologist I immediately tried to see if I could find a ratio and so I divided 22.3 by 17.5 and got ... 1.2742857142857 and becasue of the recurring decimals shows that it is a multiple or has been divided by 7 ... HOWEVER WHERE THERE IS 7 THERE IS USUALLY PI and so since the reciprocal of this number was 0.7847534 I decided to see how close 4 and Pi would be and got this result ...
22.3 / 4 = 5.575 (awfully close to seked 5.5 don't you think ?
5.575 * pi = 17.51
So in another one of those coincidences that I have to be the world's greatest at finding we have The White Temple, an ancient temple of Sumer constructed to basically the same dimensions as The Great Pyramid.
Well I decided to lighten your burden just a bit of having to believe in pi and give you this information from Wiki ...
In 1916, during the last years of the Ottoman Empire and in the middle of World War I, the German assyriologist Eckhard Unger found a copper-alloy bar while excavating at Nippur. The bar dates from c. 2650 BC and Unger claimed it was used as a measurement standard. This irregularly formed and irregularly marked graduated rule supposedly defined the Sumerian cubit as about 518.6 mm (20.42 in).
Now 22.3 is 877.95 inches and divided by 20.42 = 42.995 so I think we could be fairly accurate and say that this side was supposed to be 43 Nippur Cubits
would the other side yield a similar even amount ...
17.50 meters = 689.98 inches and divide by 20.42 = 33.74 so I think we can say the temple was supposed to measure 43 Nippur Cubits (886.66 inches or 22.52 meters) by 33.75 Nippur Cubits ( 689.175 inches or 17.505 meters)
43 / 33.75 = 1.2741
4 / Pi = 1.2732
So one could assume that in Ancient Sumeria they had come up with a simple way of calling Pi ... it would be 43 / 33.75 or to make all things even they would have:
172 / 135 = Pi ratio
172 = 4
135 = Pi
I didn't know that ... did you ?
Well apparently there is more there than I thought ... this from Wiki ...
... The ziggurat was built by the Sumerian King Ur-Nammu and his son Shulgi in approximately the 21st century BCE (short chronology) during the Third Dynasty of Ur. The massive step pyramid measured 210 feet (64m) in length, 150 feet (46m) in width and over 100 feet (30m) in height.
and this ...
The ruins of the Great Ziggurat of Ur, taken in 2005 CE near Ali Air Base in Iraq.
The ziggurat was built by the Sumerian King Ur-Nammu and his son Shulgi in approximately the 21st century BCE (short chronology) during the Third Dynasty of Ur. The massive step pyramid measured 210 feet (64m) in length, 150 feet (46m) in width and over 100 feet (30m) in height. The height is speculative, as only the foundations of the Sumerian ziggurat have survived.
The ziggurat was a piece in a temple complex that served as an administrative center for the city, and which was a shrine of the moon god Nanna, the patron deity of Ur.
The construction of the ziggurat was finished in the 21st century BCE by King Shulgi, who, in order to win the allegiance of cities, proclaimed himself a god. During his 48-year reign, the city of Ur grew to be the capital of a state controlling much of Mesopotamia.
Now there are two main sekeds used at Giza and in Egypt: seked 5.5 AND seked 5
The Great Pyramid (to most) is seked 5.5 shown by The White Temple in Sumeria and by The Great Pyramid in Egypt
and now we have this ziggurat at 210 feet by 150 feet which reduces down to 7 by 5 or seked 5
seked 5 by the way is tan 1.4 and is 54.46 degrees and is one of the angles at the base of The Bent Pyramid.
Now who would have thought (well I have for a very long time) that the measurement ratios used in Egypt seemed to maybe have been used first in Mesopotamia namely at Sumer.
Now these measurements are only approximation as I hardly think the ancient Sumerians measured in feet but maybe inches 210 feet = 2520 inches which using The Egyptian Cubit of 20.62 inches = 122.2 and is basically showing us the 9 of 9*11 (9*122.2 = 10.99) while 150 feet = 1800 inches and = 87.30 cubits. If we use the Nippur Cubit of 20.42 inches we get 2520 / 20.42 = 123.4 Nippur Cubits while 150 feet = 1800 inches = 88.15 Nippur Cubits so it is for the moment difficult to be certain which cubit was used if any.
Now the height is tentatively given a value of 30 meters or 11.81.1 inches or 98.45 feet so the angle to the top becomes 1/2 of 210 which is 105 / 98.45 = 98.45 / 105 = 0.9374 and gives us an angle of 43.14 and incredibly close to the top portion of The Bent Pyramid and we also have 150 / 2 = 75 / 98.45 = 98.45 / 75 = 1.31233 and gives us an angle of 52.69
And in this image I posted above the ratio of the slope on the left or the stairway is in the ratio of ... well what else would it be but 1, 2 and the square root of 5 so that would mean that the present landing that has survived would be about 52.5 feet. Anybody want to bet against me ?
Here is a reconstruction.
However of all the measurements that could have been chosen it was 5 by 7 that was chosen here in Sumeria as well. Don't you ever wonder why ?
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... The ziggurat was built by the Sumerian King Ur-Nammu and his son Shulgi in approximately the 21st century BCE (short chronology) during the Third Dynasty of Ur. The massive step pyramid measured 210 feet (64m) in length, 150 feet (46m) in width and over 100 feet (30m) in height.
and this ...
The ruins of the Great Ziggurat of Ur, taken in 2005 CE near Ali Air Base in Iraq.
The ziggurat was built by the Sumerian King Ur-Nammu and his son Shulgi in approximately the 21st century BCE (short chronology) during the Third Dynasty of Ur. The massive step pyramid measured 210 feet (64m) in length, 150 feet (46m) in width and over 100 feet (30m) in height. The height is speculative, as only the foundations of the Sumerian ziggurat have survived.
The ziggurat was a piece in a temple complex that served as an administrative center for the city, and which was a shrine of the moon god Nanna, the patron deity of Ur.
The construction of the ziggurat was finished in the 21st century BCE by King Shulgi, who, in order to win the allegiance of cities, proclaimed himself a god. During his 48-year reign, the city of Ur grew to be the capital of a state controlling much of Mesopotamia.
Now there are two main sekeds used at Giza and in Egypt: seked 5.5 AND seked 5
The Great Pyramid (to most) is seked 5.5 shown by The White Temple in Sumeria and by The Great Pyramid in Egypt
and now we have this ziggurat at 210 feet by 150 feet which reduces down to 7 by 5 or seked 5
seked 5 by the way is tan 1.4 and is 54.46 degrees and is one of the angles at the base of The Bent Pyramid.
Now who would have thought (well I have for a very long time) that the measurement ratios used in Egypt seemed to maybe have been used first in Mesopotamia namely at Sumer.
Now these measurements are only approximation as I hardly think the ancient Sumerians measured in feet but maybe inches 210 feet = 2520 inches which using The Egyptian Cubit of 20.62 inches = 122.2 and is basically showing us the 9 of 9*11 (9*122.2 = 10.99) while 150 feet = 1800 inches and = 87.30 cubits. If we use the Nippur Cubit of 20.42 inches we get 2520 / 20.42 = 123.4 Nippur Cubits while 150 feet = 1800 inches = 88.15 Nippur Cubits so it is for the moment difficult to be certain which cubit was used if any.
Now the height is tentatively given a value of 30 meters or 11.81.1 inches or 98.45 feet so the angle to the top becomes 1/2 of 210 which is 105 / 98.45 = 98.45 / 105 = 0.9374 and gives us an angle of 43.14 and incredibly close to the top portion of The Bent Pyramid and we also have 150 / 2 = 75 / 98.45 = 98.45 / 75 = 1.31233 and gives us an angle of 52.69
And in this image I posted above the ratio of the slope on the left or the stairway is in the ratio of ... well what else would it be but 1, 2 and the square root of 5 so that would mean that the present landing that has survived would be about 52.5 feet. Anybody want to bet against me ?
Here is a reconstruction.
However of all the measurements that could have been chosen it was 5 by 7 that was chosen here in Sumeria as well. Don't you ever wonder why ?
db