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Let's do Math Steve. I agree. There clearly was a word for ramp in the Old Kingdom but this doesn't necessarily mean a ramp was used to build the top levels of the pyramids. Let's keep an open mind for now and not take anything off the table.




In order to identify the method used and the solution to this enigma, we should first define the problem: The number and size of blocks in the top half of the Great Pyramid. I found a good photo I took of the summit to do some old-fashioned Math: Counting blocks. It turns out the block number is near the course number counting down from the summit. It's just a coincidence which simplifies the math.
You can get a rough idea from a sample of course counts as you can see and I have indicated the numbers on the left and the squares of the right. The squares are the estimated block numbers for a given course. Roughly, as you go down one course you add one block. It's just an estimate to get an idea of the magnitude of the problem.

To get the sum of the blocks you compute the sum of the squares and I show the formula. In other words 9x9 +10x10....42x42

For example, assuming one block added per course down from current summit to course 160 is
42x(42+1)x(84+1)/6= 25,585‬ blocks.
Technically, we have to subtract the top 10 courses, about 200 blocks, but it doesn't matter. Let's even call it 26,000.

How big and how heavy was the average block in the top half of the Great Pyramid?

Size:

From Petrie, we know that most of the top 100 courses are on average less than 30 inch and more than 20 inch thick. The average course is thus about 8 palms thick (0.6 m), between 16 and 24 palms wide (av 20 p; 1.5 m) and 16-24 palms deep (~1.5 m) judging from the summit (I am looking at Yukinori Kawae, Nagoya University, Construction Methods for the Top of the Great Pyramid at Giza)

Thus, the average block volume is: 1.4 m3

Weight:
The Mokattam Formation is in the Middle Eocene. Density range: 2.1-2.4 ton/m3

So, the average block in the top 100 courses of the Great Pyramid weighed 3.0 tons.

ERGO: The current top 42 courses of circa 26,000 blocks weighed a total of 78,000 tons.
Assume you have enough room up there to set 100 blocks per day. Then, you have a construction time of 260 days for these 42 courses. If you only count the four months of inundation then the timing stretches to 2 seasons and change. Less than 15 minutes per block, but this is of course done with multiple blocks set simultaneously. At lower courses, there is more room and so you have to assume more blocks per day were laid by this elusive method.

Conclusion: You need a method which can haul 100 3 ton stones per day which are 8 x 20 x 20 palms in size.

Update:

Course Numbers by the notch at half-way up. Course 105/210 is in the notch; 140 cubits is within course #94.
I count 68 blocks at course #118.



The more accurate block#/course# gradient: In the upper segment it is ~8 blocks added per 10 courses and in the lower segment to the midway point it is ~5 blocks added per 9 courses. The overall ratio averaged is something like 3 blocks per 4 courses.



EDIT: Corrected Course Numbers on Petrie Plate 8 right pane
EDIT: Added further count to course 154

Manu

www.cheopspyramid.com
Facebook: @ManuSeyfzadeh
[independent.academia.edu]



Edited 8 time(s). Last edit at 07-Apr-20 17:31 by Manu.

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Subject Views Written By Posted
Anastasi I Papyrus: Ramp Building 634 Thanos5150 05-Apr-20 02:41
Re: Anastasi I Papyrus: Ramp Building 119 seasmith 05-Apr-20 04:18
Re: Anastasi I Papyrus: Ramp Building 100 thinkitover 05-Apr-20 11:08
Re: Anastasi I Papyrus: Ramp Building 92 Dr. Troglodyte 05-Apr-20 14:26
Re: Anastasi I Papyrus: Ramp Building 84 Thanos5150 05-Apr-20 15:13
Re: Anastasi I Papyrus: Ramp Building 99 cladking 05-Apr-20 13:54
Re: Anastasi I Papyrus: Ramp Building 88 Thanos5150 06-Apr-20 01:41
Re: Anastasi I Papyrus: Ramp Building 77 cladking 06-Apr-20 03:22
Re: Anastasi I Papyrus: Ramp Building 87 Thanos5150 06-Apr-20 04:21
Re: Anastasi I Papyrus: Ramp Building 71 cladking 06-Apr-20 14:25
Re: Anastasi I Papyrus: Ramp Building 62 cladking 06-Apr-20 14:55
Re: Anastasi I Papyrus: Ramp Building 72 Thanos5150 06-Apr-20 15:58
Re: Anastasi I Papyrus: Ramp Building 69 Steve Clayton 06-Apr-20 17:44
Re: Anastasi I Papyrus: Ramp Building 86 Thanos5150 06-Apr-20 23:24
Re: Anastasi I Papyrus: Ramp Building 75 seasmith 07-Apr-20 03:01
Re: Anastasi I Papyrus: Ramp Building 77 Thanos5150 07-Apr-20 04:15
Re: Anastasi I Papyrus: Ramp Building 78 cladking 08-Apr-20 14:59
Re: Anastasi I Papyrus: Ramp Building 87 Thanos5150 08-Apr-20 16:13
Re: Anastasi I Papyrus: Ramp Building 82 Eddie Larry 08-Apr-20 17:15
Mebbe mastabas were build around a tower core. n/t 77 cladking 09-Apr-20 13:50
Re: Mebbe mastabas were build around a tower core. n/t 77 Thanos5150 09-Apr-20 15:59
Re: Mebbe mastabas were build around a tower core. n/t 94 cladking 09-Apr-20 16:10
Re: Mebbe mastabas were build around a tower core 67 thinkitover 10-Apr-20 04:53
Re: Mebbe mastabas were build around a tower core 78 cladking 10-Apr-20 14:10
Re: Mebbe mastabas were build around a tower core. n/t 101 Thanos5150 10-Apr-20 22:42
Re: Mebbe mastabas were build around a tower core. n/t 73 cladking 11-Apr-20 13:23
Re: Mebbe mastabas were build around a tower core. n/t 78 cladking 11-Apr-20 13:48
Re: Mebbe mastabas were build around a tower core. n/t 74 Thanos5150 11-Apr-20 16:31
Re: Mebbe mastabas were build around a tower core. n/t 84 cladking 11-Apr-20 16:55
Re: Anastasi I Papyrus: Ramp Building 83 Thanos5150 20-Apr-20 04:02
Re: Anastasi I Papyrus: Ramp Building 113 Steve Clayton 20-Apr-20 21:06
Re: Anastasi I Papyrus: Ramp Building 83 Dr. Troglodyte 05-Apr-20 14:25
Re: Anastasi I Papyrus: Ramp Building 88 Thanos5150 05-Apr-20 15:15
Re: Anastasi I Papyrus: Ramp Building 93 Steve Clayton 05-Apr-20 15:44
. 74 Manu 05-Apr-20 17:50
Re: Anastasi I Papyrus: Ramp Building 81 Dr. Troglodyte 05-Apr-20 21:22
Re: Anastasi I Papyrus: Ramp Building 73 Steve Clayton 06-Apr-20 05:19
Re: Anastasi I Papyrus: Ramp Building 69 Dr. Troglodyte 06-Apr-20 18:15
Re: Anastasi I Papyrus: Ramp Building 72 Steve Clayton 06-Apr-20 20:07
Zawayet El-Aryan, Ramp 105 Manu 05-Apr-20 17:53
Re: Zawayet El-Aryan, Ramp 74 cladking 06-Apr-20 00:45
Re: Zawayet El-Aryan, Ramp 82 Manu 06-Apr-20 01:27
Re: Zawayet El-Aryan, Ramp 70 cladking 06-Apr-20 02:21
Re: Zawayet El-Aryan, Ramp 88 eyeofhorus33 06-Apr-20 14:57
Re: Zawayet El-Aryan, Ramp 76 Steve Clayton 06-Apr-20 15:36
Re: Zawayet El-Aryan, Ramp 79 cladking 06-Apr-20 16:20
Stone Block Math 95 Manu 07-Apr-20 05:32
Re: Stone Block Math 80 Thanos5150 07-Apr-20 18:12
Re: Stone Block Math 84 Manu 07-Apr-20 20:57
Re: Stone Block Math 70 cladking 08-Apr-20 14:35
Re: Zawayet El-Aryan, Ramp 89 cladking 06-Apr-20 16:00
Re: Zawayet El-Aryan, Ramp 80 eyeofhorus33 08-Apr-20 18:14
Re: Zawayet El-Aryan, Ramp 79 Thanos5150 06-Apr-20 01:10
Anastasi I vs the ADA 76 Dr. Troglodyte 06-Apr-20 23:08
Re: Anastasi I vs the ADA 80 Thanos5150 07-Apr-20 04:32
Re: Anastasi I Papyrus: Ramp Building 74 Steve Clayton 14-Apr-20 17:40


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