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General: PATRON MATEMATICO DE LA IND. DE ESTADOS UNIDOS ESTA EN FUNCION AL ARCA DE NOE
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The Arks
In the 3x3 Magic Square of Saturn featuring the first nine numbers, the constant is 15, the sum of all the numbers of the square is 45. [The letters in the name Adam total to 45.] In the 6x6 Magic Square of the Sun, the magic costant is 111, and the sum of all the numbers of the square is 666.
Chapter 6 of Genesis deals with the description of the dimensions for Noah's Ark. (Bible dimensions are given in the form of length, breadth and height.) For the ark the length is given as 300 cubits, the breadth as 50 cubits and the height as 30 cubits (Gen 6:15). The volume is 300x50x30 or 45 with a bunch of zeros. The area is 300x50 or 15.000. The perimeter is 300+300+50+50 or 7.00. In Genesis 7:20 we read that the water rose 15 cubits, and in 7:24 we see that the water prevailed for 150 days. The periods between the release of birds was seven days each time. ("And he stayed yet other seven days; and again he sent forth the dove out of the ark.")
The ratio of the length to the breadth is 6:1 and the length to the height 10:1. Note that 10 is the earth's number and 6 is the sun's number. Note also that obelisks were built with a 1:10 ratio of base to height, and remember that upon raising the pillar stone in Genesis 1:28, Jacob says 'of all you give to me I will give one tenth to thee'. The sum of the first nine numbers is 45, and the sum of the first ten numbers is 55. The Washington Monument is 55.5 at the base x 555.5 feet tall. See Hebrews 7:2, where we read, "For this Melchisedec, king of Salem, priest of the most high God, who met Abraham returning from the slaughter of the kings, and blessed him; To whom also Abraham gave a tenth part of all".
Multiplying both sides of 6:1 by six gives us 360:60. We treat this as a rectangle spread round the globe 60 degrees wide. While the sun moves from 23 degrees north to 23 degrees south of the equator, the moon moves 5 degrees beyond the sun (to 28 degrees) and Mercury, the most eccentric of the planets, moves 7 degrees beyond the sun's extreme position (30+ degrees). A rectangle 6:1 describes the boundary of the visible planets on the globe. The outside dimension represents the range of Mercury, while the inside dimension represents the range of the sun.
The sun's 23.5 degree limit forms a border inside the rectangle. Remember that 30 degrees north and south is where a hexagram inscribed in a circle would touch the sides of that. That is the reason that a hexagram is used to depict the planets in the rose cross emblem. Note Saturn is at the top of this image. Saturn is the last sphere that the soul inhabits on its way back to the stars, and Saturn 'rules' Capricorn; also the sun is said to die in Capricorn, so it has been deemed the Gate of Death. The moon, being the last sphere the soul encounters before birth and being the ruler of Cancer, Cancer has been named the Gate of Birth (for this astronomical era).
"And being turned, I saw seven golden candlesticks; And in the midst of the seven candlesticks one like unto the Son of man, And he had in his right hand seven stars, and his countenance was as the sun shineth in his strength." Noah carries seven passengers with him in the ark. Below we see an Egyptian illustration of that story.
. . .
In Exodus 25, the Ark of the Covenant is described as 2.5 cubits in length, 1.5 in breadth and in height. Doubling these numbers gives us 5x3x3 which is 45. The end of the ark was a square, while the top and sides were in the 3:5 proportion. Looking again at Noah's Ark we see that the ratio of its breadth to height is also 3:5. The side of the doubled Ark of the Covenant is the end of Noah's Ark, and the ark would be made of ten of these 3x3x5 blocks. In Gen 28:22 Jacob says 'of all that thou give unto me, I will give the tenth unto thee'.
The diagonal of the 3x5 rectangle produces a 31 degree angle. That is, a 3x5 rectangle inscribed in a circle touches that circle at 31 degrees from the equator, the point that Mercury ranges to. This is just one hemisphere's view. The outside dimension represents Mercury path, and the inner dimension the sun's path contained therein. The Shekinah (Glory of God) that appeared over the Ark and lit the room of the Most Holy Place has it’s parallel in the sun, which He created for His glory. You can see the notion of the sun's bounded way depicted by the staves.
Note that the dimensions given for the ark were 300:50:30. If we multiply these by 6/5 we get 360:60:36, meaning that our map rectangle is conceptually 36 tall? Thirty six is six squared, and the sum of the first thirty six numbers is 666. In the Magic Square of the Sun the constant is 111, three ones. The sum of all the numbers of the square is 666. (The sum of the first 11 numbers is 66, and Pi equals Phi squared x 6/5.)
The magic square of the sun (36 cells) can be generated by quartering the nine cells in the magic square of Saturn. (Surveying in the US is done using 6 mile by six mile grids of one square mile sections.) Dividing each of Saturn's nine cells nine times (fractal) gives us the magic square of the moon with 81 cells. Notice that these are the three down the center of the planet hex emblem above. Mercury's square quarter's the squares in the Jupiter square, and the earth's square of ten, quarters the squares in the Mars square (5). 4 and 5 are different takes on life, just as Jupiter and Mars are represent different governing styles. Jupiter rules from a throne with a shephard's crook, while Mars rules from a war chariot with a flail in his hand.
Jupiter is related to Mercury numerically as Mars is related to the earth, and Saturn, the sun and moon all relate to one another. 5 x 5 is an altar number in the Bible. As a matter of fact, one altar was 5x5x3 tall meaning it had a 3x5 profile. In terms of fractions we can say that the square of Saturn represents 1:3, and Jupiter 1:4, etc. All of these but two can be derived without much trouble from the square using a straight edge, as was shown before.
Looking at the epic poem about Gilgamesh, we see that the 'ark' mentioned is cubic and measures 60x60x60 fathoms. The footprint is square and the area of that is numerically 1/6th that of the Noah's ark. 60x60x60 is actually a cubic expression of the 6x6 sun square. The flood in the Bible ends a 600 year period. "And it came to pass in the six hundredth and first year, in the first month, the first day of the month, the waters were dried up from off the earth: and Noah removed the covering of the ark, and looked, and, behold, the face of the ground was dry." Six hundred shekels of gold is the price that David paid for the threshingfloor on which the Temple eas to be built. "So David gave to Ornan for the place six hundred shekels of gold by weight."
This ark takes 7 days to build, and the flood lasts seven days. "I laid out the shape of her sides and joined her together. I provided her with six decks, dividing her (thus) into seven parts. Her floor plan I divided into nine parts." A square divided into nine parts is the square of Saturn. "When the seventh day arrived, The flood (-carrying) south-storm subsided in the battle, Which it had fought like an army."
"And the house which king Solomon built for the Lord, the length thereof was threescore cubits, and the breadth thereof twenty cubits, and the height thereof thirty cubits. And the porch before the temple of the house, twenty cubits was the length thereof, according to the breadth of the house; and ten cubits was the breadth thereof before the house." The house was 60x20 and 30 tall. The floor area would be 12.00 like the months, and the volume would be 60x20x30 or 36.000. The 10x20 porch gives us 2, and the 20x20x20 Holy of Holies gives us 4 and 8, the squares and cubes of 2.
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RELACION DEL ARCA DE NOE CON LA CONCEPCION Y NACIMIENTO DE UN BEBE
Génesis 7
1. Dijo luego Jehová a Noé: Entra tú y toda tu casa en el arca; porque a ti he visto justo delante de mí en esta generación.
2. De todo animal limpio tomarás siete parejas, macho y su hembra; mas de los animales que no son limpios, una pareja, el macho y su hembra.
3. También de las aves de los cielos, siete parejas, macho y hembra, para conservar viva la especie sobre la faz de la tierra.
4. Porque pasados aún siete días, yo haré llover sobre la tierra cuarenta días y cuarenta noches; y raeré de sobre la faz de la tierra a todo ser viviente que hice. (Aqui se hace referencia al 10 de ISHAR O SEGUNDO MES HEBREO, EL DIA NUMERO 40 DEL MISMO. FIJENSE QUE EL DILUVIO COMENZO EN EL SEPTIMO DIA POSTERIOR, OSEA EL 17 DE ISHAR, INSISTO, DEL SEGUNDO MES HEBREO)
5. E hizo Noé conforme a todo lo que le mandó Jehová.
6. Era Noé de seiscientos años cuando el diluvio de las aguas vino sobre la tierra.
7. Y por causa de las aguas del diluvio entró Noé al arca, y con él sus hijos, su mujer, y las mujeres de sus hijos.
8. De los animales limpios, y de los animales que no eran limpios, y de las aves, y de todo lo que se arrastra sobre la tierra,
9. de dos en dos entraron con Noé en el arca; macho y hembra, como mandó Dios a Noé.
10. Y sucedió que al séptimo día las aguas del diluvio vinieron sobre la tierra.
11. El año seiscientos de la vida de Noé, en el mes segundo, a los diecisiete días del mes, aquel día fueron rotas todas las fuentes del grande abismo, y las cataratas de los cielos fueron abiertas, (Aqui se confirma que el diluvio fue el 17 de ISHAR, OSEA 7 DIAS DESPUES DEL 10 DE ISHAR. ESTO ES MUY IMPORTANTE)
12. y hubo lluvia sobre la tierra cuarenta días y cuarenta noches.
13. En este mismo día entraron Noé, y Sem, Cam y Jafet hijos de Noé, la mujer de Noé, y las tres mujeres de sus hijos, con él en el arca;
14. ellos, y todos los animales silvestres según sus especies, y todos los animales domesticados según sus especies, y todo reptil que se arrastra sobre la tierra según su especie, y toda ave según su especie, y todo pájaro de toda especie.
15. Vinieron, pues, con Noé al arca, de dos en dos de toda carne en que había espíritu de vida.
16. Y los que vinieron, macho y hembra de toda carne vinieron, como le había mandado Dios; y Jehová le cerró la puerta.
17. Y fue el diluvio cuarenta días sobre la tierra; y las aguas crecieron, y alzaron el arca, y se elevó sobre la tierra.
18. Y subieron las aguas y crecieron en gran manera sobre la tierra; y flotaba el arca sobre la superficie de las aguas.
19. Y las aguas subieron mucho sobre la tierra; y todos los montes altos que había debajo de todos los cielos, fueron cubiertos.
20. Quince codos más alto subieron las aguas, después que fueron cubiertos los montes.
21. Y murió toda carne que se mueve sobre la tierra, así de aves como de ganado y de bestias, y de todo reptil que se arrastra sobre la tierra, y todo hombre.
22. Todo lo que tenía aliento de espíritu de vida en sus narices, todo lo que había en la tierra, murió.
23. Así fue destruido todo ser que vivía sobre la faz de la tierra, desde el hombre hasta la bestia, los reptiles, y las aves del cielo; y fueron raídos de la tierra, y quedó solamente Noé, y los que con él estaban en el arca.
24. Y prevalecieron las aguas sobre la tierra ciento cincuenta días.
Génesis 8
1. Y se acordó Dios de Noé, y de todos los animales, y de todas las bestias que estaban con él en el arca; e hizo pasar Dios un viento sobre la tierra, y disminuyeron las aguas.
2. Y se cerraron las fuentes del abismo y las cataratas de los cielos; y la lluvia de los cielos fue detenida.
3. Y las aguas decrecían gradualmente de sobre la tierra; y se retiraron las aguas al cabo de ciento cincuenta días.
4. Y reposó el arca en el mes séptimo, a los diecisiete días del mes, sobre los montes de Ararat. (17 de TISHRI O SEPTIMO MES HEBREO)
5. Y las aguas fueron decreciendo hasta el mes décimo; en el décimo, al primero del mes, se descubrieron las cimas de los montes. (Este es el OCTAVO DIA DE JANUKAH, OSEA LA LUNA LLENA DEL DECIMO MES. EL PRIMER DIA DE JANUKAH ES EL 24 DEL NOVENO MES, OSEA QUE EN ESTE MARCO EL 30 DEL NOVENO MES, OSEA EL SEPTIMO DIA DE JANUKAH, ES EL DIA NUMERO 266 DEL CALENDARIO LUNI-SOLAR HEBREO. EN ESTE MARCO LA REFERENCIA ES AL PERIODO LUNAR CON REFERENCIA A LA CONCEPCION Y NACIMIENTO DE UN BEBE.)
6. Sucedió que al cabo de cuarenta días abrió Noé la ventana del arca que había hecho,
7. y envió un cuervo, el cual salió, y estuvo yendo y volviendo hasta que las aguas se secaron sobre la tierra. (ESTE DIA ES EL 11/11 DEL CALENDARIO LUNI-SOLAR HEBREO. ES EL DIA NUMERO 306=153*2 DEL MISMO. NOTAMOS QUE SI A ESTOS 306 DIAS LE RESTAMOS 40 DIAS, TENEMOS LOS 266 DIAS DEL PERIODO LUNAR CON REFERENCIA AL PERIODO DEL BEBE QUE ESTA EN EL UTERO DE LA MADRE. ¿PORQUE 40 DIAS? EN FUNCION A 7: 4,11 HABIAMOS OBSERVADO QUE EL 10 DE ISHAR O SEGUNDO MES HEBREO, FUE EN EL 40 DIA DEL MES LUNI-SOLAR HEBREO. OSEA QUE DESDE EL 10 DE ISHAR HASTA EL 11/11, TENEMOS LOS 266 DIAS DEL PERIODO LUNAR CON REFERENCIA A LOS 9 MESES LUNARES DE UN BEBE. EN ESTE CONTEXTO EL CALENDARIO DE NOE TIENE FUERTE REFERENCIA AL SANTO GRIAL. INCLUSO SI OBSERVAMOS LOS VERSICULOS DE GENESIS 7:4,11 TIENE UN FUERTE MARCO KAVALISTICO CON LA INDEPENDENCIA DE LOS ESTADOS UNIDOS EN EL CONTEXTO AL 11 DE SEPTIEMBRE. 7+4=11. LA GRAN PIRAMIDE DE GIZE ESTA DISEÑADA EN FUNCION AL 711. EN EL CONTEXTO AL VERDADERO CALENDARIO LUNI-SOLAR HEBREO CUYO PRIMER DIA O PISO, ES EL 22 DE FEBRERO, OBSERVAMOS QUE TOMANDO LA LUNA LLENA, COMO FUE EN 1997 Y VA A SER EN EL 2016, OSEA EN EL MISMO AÑO DEL BICENTENARIO DE LA INDEPENDENCIA ARGENTINA, TENEMOS QUE EL 11/11 CAYO Y VA A CAER EN EL MISMO 24 DE DICIEMBRE. OSEA QUE EL ACTUAL AÑO NUEVO JULIANO TIENE ORIGEN EN EL CALENDARIO DE NOE EN EL CONTEXTO A QUE LA PRIMERA LUNA LLENA, OSEA EL PRIMER DIA DEL AÑO HEBREO, CAIGA EL 1 DE MARZO. EN ESE CONTEXTO CAE EL 11/11, EL MISMO 31 DE DICIEMBRE. SI NOTAMOS LA DIFERENCIA DE DIAS ENTRE EL 22 DE FEBRERO Y EL 1 DE MARZO ES LA MISMA QUE LA ENTRE EL 24 Y 31 DE DICIEMBRE. OSEA, QUE EN ESTE MARCO, CON LUNA LLENA EL 2 DE MARZO, ME CAE EL 11/11 EN EL MISMO 1 DE ENERO. LA DIFERENCIA DE 7 DIAS ESTA EN FUNCION A GENESIS 7:4,11. OTRO DETALLE MATEMATICO INTERESANTE ES QUE SI CONSIDERAMOS LOS DIAS ENTRE EL 22 DE FEBRERO, HASTA EL 1 DE ENERO TENEMOS 314 DIAS EXACTOS, OSEA UNA REFERENCIA AL NUMERO PI=3.14. EL 666=360+306 E INCLUSO SI SACAMOS EL SENO DE 306=PHI/2. ¿ESTE ES EL SECRETO DE LA PIRAMIDE DE LOUVRE QUE SABEMOS TIENE REFERENCIA A LOS 666 TALENTOS DE ORO DEL REY SALOMON? )
8. Envió también de sí una paloma, para ver si las aguas se habían retirado de sobre la faz de la tierra.
9. Y no halló la paloma donde sentar la planta de su pie, y volvió a él al arca, porque las aguas estaban aún sobre la faz de toda la tierra. Entonces él extendió su mano, y tomándola, la hizo entrar consigo en el arca.
10. Esperó aún otros siete días, y volvió a enviar la paloma fuera del arca.
11. Y la paloma volvió a él a la hora de la tarde; y he aquí que traía una hoja de olivo en el pico; y entendió Noé que las aguas se habían retirado de sobre la tierra.
12. Y esperó aún otros siete días, y envió la paloma, la cual no volvió ya más a él.
13. Y sucedió que en el año seiscientos uno de Noé, en el mes primero, el día primero del mes, las aguas se secaron sobre la tierra; y quitó Noé la cubierta del arca, y miró, y he aquí que la faz de la tierra estaba seca.
14. Y en el mes segundo, a los veintisiete días del mes, se secó la tierra.
15. Entonces habló Dios a Noé, diciendo:
16. Sal del arca tú, y tu mujer, y tus hijos, y las mujeres de tus hijos contigo.
17. Todos los animales que están contigo de toda carne, de aves y de bestias y de todo reptil que se arrastra sobre la tierra, sacarás contigo; y vayan por la tierra, y fructifiquen y multiplíquense sobre la tierra.
18. Entonces salió Noé, y sus hijos, su mujer, y las mujeres de sus hijos con él.
19. Todos los animales, y todo reptil y toda ave, todo lo que se mueve sobre la tierra según sus especies, salieron del arca.
20. Y edificó Noé un altar a Jehová, y tomó de todo animal limpio y de toda ave limpia, y ofreció holocausto en el altar.
21. Y percibió Jehová olor grato; y dijo Jehová en su corazón: No volveré más a maldecir la tierra por causa del hombre; porque el intento del corazón del hombre es malo desde su juventud; ni volveré más a destruir todo ser viviente, como he hecho.
22. Mientras la tierra permanezca, no cesarán la sementera y la siega, el frío y el calor, el verano y el invierno, y el día y la noche.
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The Arks
In the 3x3 Magic Square of Saturn featuring the first nine numbers, the constant is 15, the sum of all the numbers of the square is 45. [The letters in the name Adam total to 45.] In the 6x6 Magic Square of the Sun, the magic costant is 111, and the sum of all the numbers of the square is 666.
Chapter 6 of Genesis deals with the description of the dimensions for Noah's Ark. (Bible dimensions are given in the form of length, breadth and height.) For the ark the length is given as 300 cubits, the breadth as 50 cubits and the height as 30 cubits (Gen 6:15). The volume is 300x50x30 or 45 with a bunch of zeros. The area is 300x50 or 15.000. The perimeter is 300+300+50+50 or 7.00. In Genesis 7:20 we read that the water rose 15 cubits, and in 7:24 we see that the water prevailed for 150 days. The periods between the release of birds was seven days each time. ("And he stayed yet other seven days; and again he sent forth the dove out of the ark.")
The ratio of the length to the breadth is 6:1 and the length to the height 10:1. Note that 10 is the earth's number and 6 is the sun's number. Note also that obelisks were built with a 1:10 ratio of base to height, and remember that upon raising the pillar stone in Genesis 1:28, Jacob says 'of all you give to me I will give one tenth to thee'. The sum of the first nine numbers is 45, and the sum of the first ten numbers is 55. The Washington Monument is 55.5 at the base x 555.5 feet tall. See Hebrews 7:2, where we read, "For this Melchisedec, king of Salem, priest of the most high God, who met Abraham returning from the slaughter of the kings, and blessed him; To whom also Abraham gave a tenth part of all".
Multiplying both sides of 6:1 by six gives us 360:60. We treat this as a rectangle spread round the globe 60 degrees wide. While the sun moves from 23 degrees north to 23 degrees south of the equator, the moon moves 5 degrees beyond the sun (to 28 degrees) and Mercury, the most eccentric of the planets, moves 7 degrees beyond the sun's extreme position (30+ degrees). A rectangle 6:1 describes the boundary of the visible planets on the globe. The outside dimension represents the range of Mercury, while the inside dimension represents the range of the sun.
The sun's 23.5 degree limit forms a border inside the rectangle. Remember that 30 degrees north and south is where a hexagram inscribed in a circle would touch the sides of that. That is the reason that a hexagram is used to depict the planets in the rose cross emblem. Note Saturn is at the top of this image. Saturn is the last sphere that the soul inhabits on its way back to the stars, and Saturn 'rules' Capricorn; also the sun is said to die in Capricorn, so it has been deemed the Gate of Death. The moon, being the last sphere the soul encounters before birth and being the ruler of Cancer, Cancer has been named the Gate of Birth (for this astronomical era).
"And being turned, I saw seven golden candlesticks; And in the midst of the seven candlesticks one like unto the Son of man, And he had in his right hand seven stars, and his countenance was as the sun shineth in his strength." Noah carries seven passengers with him in the ark. Below we see an Egyptian illustration of that story.
. . .
In Exodus 25, the Ark of the Covenant is described as 2.5 cubits in length, 1.5 in breadth and in height. Doubling these numbers gives us 5x3x3 which is 45. The end of the ark was a square, while the top and sides were in the 3:5 proportion. Looking again at Noah's Ark we see that the ratio of its breadth to height is also 3:5. The side of the doubled Ark of the Covenant is the end of Noah's Ark, and the ark would be made of ten of these 3x3x5 blocks. In Gen 28:22 Jacob says 'of all that thou give unto me, I will give the tenth unto thee'.
The diagonal of the 3x5 rectangle produces a 31 degree angle. That is, a 3x5 rectangle inscribed in a circle touches that circle at 31 degrees from the equator, the point that Mercury ranges to. This is just one hemisphere's view. The outside dimension represents Mercury path, and the inner dimension the sun's path contained therein. The Shekinah (Glory of God) that appeared over the Ark and lit the room of the Most Holy Place has it’s parallel in the sun, which He created for His glory. You can see the notion of the sun's bounded way depicted by the staves.
Note that the dimensions given for the ark were 300:50:30. If we multiply these by 6/5 we get 360:60:36, meaning that our map rectangle is conceptually 36 tall? Thirty six is six squared, and the sum of the first thirty six numbers is 666. In the Magic Square of the Sun the constant is 111, three ones. The sum of all the numbers of the square is 666. (The sum of the first 11 numbers is 66, and Pi equals Phi squared x 6/5.)
The magic square of the sun (36 cells) can be generated by quartering the nine cells in the magic square of Saturn. (Surveying in the US is done using 6 mile by six mile grids of one square mile sections.) Dividing each of Saturn's nine cells nine times (fractal) gives us the magic square of the moon with 81 cells. Notice that these are the three down the center of the planet hex emblem above. Mercury's square quarter's the squares in the Jupiter square, and the earth's square of ten, quarters the squares in the Mars square (5). 4 and 5 are different takes on life, just as Jupiter and Mars are represent different governing styles. Jupiter rules from a throne with a shephard's crook, while Mars rules from a war chariot with a flail in his hand.
Jupiter is related to Mercury numerically as Mars is related to the earth, and Saturn, the sun and moon all relate to one another. 5 x 5 is an altar number in the Bible. As a matter of fact, one altar was 5x5x3 tall meaning it had a 3x5 profile. In terms of fractions we can say that the square of Saturn represents 1:3, and Jupiter 1:4, etc. All of these but two can be derived without much trouble from the square using a straight edge, as was shown before.
Looking at the epic poem about Gilgamesh, we see that the 'ark' mentioned is cubic and measures 60x60x60 fathoms. The footprint is square and the area of that is numerically 1/6th that of the Noah's ark. 60x60x60 is actually a cubic expression of the 6x6 sun square. The flood in the Bible ends a 600 year period. "And it came to pass in the six hundredth and first year, in the first month, the first day of the month, the waters were dried up from off the earth: and Noah removed the covering of the ark, and looked, and, behold, the face of the ground was dry." Six hundred shekels of gold is the price that David paid for the threshingfloor on which the Temple eas to be built. "So David gave to Ornan for the place six hundred shekels of gold by weight."
This ark takes 7 days to build, and the flood lasts seven days. "I laid out the shape of her sides and joined her together. I provided her with six decks, dividing her (thus) into seven parts. Her floor plan I divided into nine parts." A square divided into nine parts is the square of Saturn. "When the seventh day arrived, The flood (-carrying) south-storm subsided in the battle, Which it had fought like an army."
"And the house which king Solomon built for the Lord, the length thereof was threescore cubits, and the breadth thereof twenty cubits, and the height thereof thirty cubits. And the porch before the temple of the house, twenty cubits was the length thereof, according to the breadth of the house; and ten cubits was the breadth thereof before the house." The house was 60x20 and 30 tall. The floor area would be 12.00 like the months, and the volume would be 60x20x30 or 36.000. The 10x20 porch gives us 2, and the 20x20x20 Holy of Holies gives us 4 and 8, the squares and cubes of 2.
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