I understand that focusing on numbers can put people to sleep. Or excite them. Can do both.
For interest.
I wondered if the volume of the coffer, the supposed coffin of an Egyptian King, was in any way connected by internal volume to the Great Pyramid volume itself as a whole. Had perhaps the architects designed it to be so..????. What was in the mind of the architect/architects??
Using Flinders Petrie's measures taken from his 'The Pyramids and Temples of Giza' and working in his measure 'inches' I asked myself the question. Did the architects design the pyramid from coffer up??? Or pyramid down.
And I wanted to do this in inches. What do you think?
Pyramid volume.;
Base p.11 mean 9068.8ins
Height p.13 mean 5776ins
Volume = 1,583,454,462,000 cubic inches.
The Kings chamber;
p.93 'the King's chamber -was placed at the level where the vertical section of the Pyramid was halved, where the area of the horizontal section was half that of the base, where the diagonal from corner to corner was equal to the length of the base, and where the width of the face was equal to half the diagonal of the base'
Petrie inserts a footnote here which shows his mind turning to other cultures. p.93 ' The employment of square measure, which appears to furnish the best solution of the Pyramid design, is singularly parallel to the use of square measure mentioned in the "Sulvasutras" : from those writings it appears that Hindu geometry in its origin sprung from the religious ideas of the building of altars, differing in form but equal in area. (See Prof. Thibaut in the Second "International Congress of Orientalists."
I had some time ago seen that the volume of the King's chamber was very nearly 1/8000th the volume of the pyramid as a whole. Nearly because the height of the chamber changes so more than only one height is possible.
King's Chamber Petrie mean for north and east; So from our volume lets reduce 1,583,454,462,000 / 8000 = 19,793,180.78 cubic inches then by ..
N. mean 412.4 = 47,995.10374
E. mean 206.29 = 232.658416 inches or height of King's chamber.
The height of the chamber Petrie "the floor of the chamber , as is well known, is quite disconnected from the wall's, and stands somewhat above the base of the lowest course.
Base of walls 1686.3 to 1685.5 above pavement
Actual floor 1691.4 to 1693.7 above pavement
Ceiling 1921.6 to 1823.7 above pavement."
Height then from base of walls 238.2 inches
actual floor 230 inches
We see then that by accident or design the King's chamber volume is very nearly 1/8000th the volume of the pyramid itself. (I have only ever been in one building where the floor is disconnected from the walls and that was at Metrology House here in Brisbane where the room was used to check measurements weights and lengths)
The volume of the inside of the coffer is also designed (I think) as a proportion of the volume of the Kings chamber. It is 1/275th the volume of the chamber.
King's chamber volume 19,793,180.78 / 275 = 71,975.20284 cubic inches Coffer volume..
Petrie's contents of coffer p.30 = 71,960 cubic inches "probable error of only about 60 cubic inches".
For a check take Petrie's volume for coffer 71960 cubic and multiply by 2,200,000 and divide by height of pyramid 5776 = 27,408.58726 cubic feet.
Base of pyramid = 9067.8 inches 755.65 ft.
Same thing happens in the second pyramid but because it is slightly smaller than the Great Pyramid the multiplier is not 2,200,000 but 2,020,000. And probable more accurate as the coffer in the second pyramid is in tact and undamaged.
Volume of coffer in 2nd pyramid 38.7072 cubic feet x 2,020,000 = 78,188,544 cubic feet volume of pyramid.
Jim
For interest.
I wondered if the volume of the coffer, the supposed coffin of an Egyptian King, was in any way connected by internal volume to the Great Pyramid volume itself as a whole. Had perhaps the architects designed it to be so..????. What was in the mind of the architect/architects??
Using Flinders Petrie's measures taken from his 'The Pyramids and Temples of Giza' and working in his measure 'inches' I asked myself the question. Did the architects design the pyramid from coffer up??? Or pyramid down.
And I wanted to do this in inches. What do you think?
Pyramid volume.;
Base p.11 mean 9068.8ins
Height p.13 mean 5776ins
Volume = 1,583,454,462,000 cubic inches.
The Kings chamber;
p.93 'the King's chamber -was placed at the level where the vertical section of the Pyramid was halved, where the area of the horizontal section was half that of the base, where the diagonal from corner to corner was equal to the length of the base, and where the width of the face was equal to half the diagonal of the base'
Petrie inserts a footnote here which shows his mind turning to other cultures. p.93 ' The employment of square measure, which appears to furnish the best solution of the Pyramid design, is singularly parallel to the use of square measure mentioned in the "Sulvasutras" : from those writings it appears that Hindu geometry in its origin sprung from the religious ideas of the building of altars, differing in form but equal in area. (See Prof. Thibaut in the Second "International Congress of Orientalists."
I had some time ago seen that the volume of the King's chamber was very nearly 1/8000th the volume of the pyramid as a whole. Nearly because the height of the chamber changes so more than only one height is possible.
King's Chamber Petrie mean for north and east; So from our volume lets reduce 1,583,454,462,000 / 8000 = 19,793,180.78 cubic inches then by ..
N. mean 412.4 = 47,995.10374
E. mean 206.29 = 232.658416 inches or height of King's chamber.
The height of the chamber Petrie "the floor of the chamber , as is well known, is quite disconnected from the wall's, and stands somewhat above the base of the lowest course.
Base of walls 1686.3 to 1685.5 above pavement
Actual floor 1691.4 to 1693.7 above pavement
Ceiling 1921.6 to 1823.7 above pavement."
Height then from base of walls 238.2 inches
actual floor 230 inches
We see then that by accident or design the King's chamber volume is very nearly 1/8000th the volume of the pyramid itself. (I have only ever been in one building where the floor is disconnected from the walls and that was at Metrology House here in Brisbane where the room was used to check measurements weights and lengths)
The volume of the inside of the coffer is also designed (I think) as a proportion of the volume of the Kings chamber. It is 1/275th the volume of the chamber.
King's chamber volume 19,793,180.78 / 275 = 71,975.20284 cubic inches Coffer volume..
Petrie's contents of coffer p.30 = 71,960 cubic inches "probable error of only about 60 cubic inches".
For a check take Petrie's volume for coffer 71960 cubic and multiply by 2,200,000 and divide by height of pyramid 5776 = 27,408.58726 cubic feet.
Base of pyramid = 9067.8 inches 755.65 ft.
Same thing happens in the second pyramid but because it is slightly smaller than the Great Pyramid the multiplier is not 2,200,000 but 2,020,000. And probable more accurate as the coffer in the second pyramid is in tact and undamaged.
Volume of coffer in 2nd pyramid 38.7072 cubic feet x 2,020,000 = 78,188,544 cubic feet volume of pyramid.
Jim