Characteristics of the stone courses - In tabular form - Additional information - Print version - Sources
Illustration: The levels of the stone courses of Khufu's Pyramid are correct to 1/4 meters - Print version
The levels for the stone courses of the pyramid of Khufu on the following table
have been transcribed from Petrie [2], and have been
measured at the northeast corner (above the foundation). Since there are no
outer stones left except at the bottom, the height of the inner stone layers
were measured. According to Petrie the outer beveled stones were of the same
height as the inner stones. The height of the upper 10 (or more) stone courses
are not known, the height of the pyramid is computed to be 146.59m.
Photo
of Khufu's Pyramid with all the stone courses / original
illustration of the Levels of the Courses of the Great Pyramid / illustration
of the first 85 levels [2]
1. Accumulation of thicker stone courses
The illustration and the table show, that there are accumulations of thicker
stone courses at 17m / 30m (+13m) / 37m (+7m) / 54m (+17m) / 69m (+15m) / 75m
(+6m) / 89m (+14m) / 105m (+16m) / 125m (+20m) and shortly before the top of
the pyramid. These thicker stone courses follow others which are considerably
lower. According to the methods that Franz Löhner is suggesting such more
massive stone layers are necessary to build fixed rope roll stations. The archeologist
Goyon and Petrie also noticed these numbers of thicker courses and Goyon [1]
divided the pyramid in a total of 19 sections.
Transport up the pyramid flank with Löhner's
rope roll
2. Possible location of the rope-roll stations
A look at the table and the illustration shows, that all larger blocks for the
Grand Gallery, the King's and Queen's chamber and the relieving chambers were
used between the proposed rope-roll-stations at 17 and at 75 meters. To anchor
the rope-roll-stations several thicker stone layers would be used, where several
rope rolls are placed side by side to transport the granite slaps which are
weighting up to 50 tons. Smaller stations are used throughout the whole building
to transport the regular stones up to the appropriate heights.
Transporting the large granite blocks up the
pyramid
3. Thicker layers also in the upper regions of the pyramid
Egyptologists propose ramps for building the pyramids - but all ramps
get smaller when they reach the upper portion of the pyramid. So it is of great
importance, that when you get higher up you only use smaller and lighter stones.
With a ramp you would expect, that the size of the stones would decrease steadily
as you get higher. It is interesting, that this is not the case in the pyramid
of Khufu! On the contrary you find thicker stone layers even very high up -
on 69m, 75m and on 89m. Goyon [1] also remarked, that
there is a stone which is 1.12m high lying on the platform of Khufu's Pyramid
and this proves, that the Egyptians were able to transport large and heavy stones
(this one weights about 3 tons) up to this height. This fact is inconsistent
with the proposed ramps but corroborates the use of Franz Löhner's rope
rolls and the installation of rope-roll stations also high up on the pyramid
flank.
Theories of pyramid ramp systems disproved
4. Stone layers oft the same thickness
Again and again there are stone layers where the thickness vary only about 1-2cm.
According to Franz Löhner the stones were quarried from the same stone
layer or sheet (bed). In the table below layers of the same height are highlighted
with a brown color. The thickness of the layers on the northeast and the southwest
corner vary mostly only a few centimeters. The largest differences are found
in the first 15 layers where the pyramid is built around a rock outcropping
and then again at the height of the ceiling of the King's chamber (course 58-59).
The maximal difference is 10.9 cm in the 12th course [7].
These differences are evened to 1cm in the following stone courses.
Quarrying stones for the pyramid
The outer casing stones of the pyramid with
arguments against an inner core and mantle
The levels of the stone courses of Khufu's Pyramid on the northeast
corner (according to Goyon [1] und Petrie [2]):
Up to 60cm / 60-69cm / 70-79cm
/ 80-89cm / 90-99cm /
over 100cm / average height ca. 0.69m
Print version table (Word-Document)
Height |
No |
Layer |
Layer [1] |
Rope-roll stations |
Granite |
Explanatory notes |
1 |
148.8cm |
150 cm |
1. section [1] 19.015m high. The first layer has a length of 230.36m (440 royal cubits) | |||
2 |
124.7cm |
124 cm |
||||
3 |
122.4cm |
120 cm |
||||
4 |
111.8cm |
102 cm |
Branching of the corridor to the Grand Gallery [2] | |||
5 |
102.1cm |
99 cm |
||||
6 |
96.5cm |
90 cm |
||||
7 |
99.6cm |
100 cm |
Approx. height of rock outcropping (7.85m) [3] | |||
8 |
96cm |
97 cm |
Mamuns Eingang | |||
9 |
92.5cm |
93 cm |
||||
10m |
10 |
91.4cm |
91.5cm |
|||
11 |
85.6cm |
86.5cm |
||||
12 |
75.4cm |
76 cm |
||||
13 |
75.7cm |
76 cm |
||||
14 |
74.7cm |
75 cm |
||||
15 |
74.4cm |
75 cm |
15m height = 30% of the entire pyramid built [5] | |||
16 |
73.4cm |
73.5cm |
Entrance today | |||
17 |
71.1cm |
75 cm |
||||
18 |
79cm |
83 cm |
17m-rope-roll
station |
|||
19 |
96.8cm |
95 cm |
Entrance, where the corridor probably emerged [2] on 16.865m | |||
20 |
59.7cm |
62 cm |
||||
19.121m |
21 |
60.5cm |
58 cm |
|||
22 |
87.6cm |
87 cm |
2. section [1] 9.54m high | |||
20m |
23 |
83.8cm |
89 cm |
Perhaps rock outcropping reached this height [3] | ||
24 |
82.3cm |
83 cm |
Floor of the Queen's chamber [2] | |||
25 |
82cm |
80 cm |
I |
Beginning of the Grand Gallery [2] | ||
26 |
78.2cm |
74 cm |
I |
|||
27 |
75.4cm |
78 cm |
I |
|||
28 |
74.2cm |
69 cm |
I |
Entrance [2] - upper gable stone | ||
29 |
71.4cm |
65 cm |
I |
|||
30 |
71.6cm |
64 cm |
I |
|||
31 |
70.6cm |
73 cm |
I |
|||
32 |
66.8cm |
72 cm |
I |
Gable of the Queen's chamber [2] | ||
33 |
66.8cm |
54 cm |
I |
|||
28.895m |
34 |
66.5cm |
66 cm |
I |
||
30m |
35 |
126.5cm |
127 cm |
30m-rope-roll
station (layer is 60cm higher than the one before) |
I |
3. section [1] 8.25m high / Ceiling of the Grand Gallery, lowest section |
36 |
104.4cm |
100 cm |
I |
30m height = 52% of the entire pyramid built [5] | ||
37 |
97cm |
97 cm |
I |
|||
38 |
92.2cm |
95 cm |
I |
|||
39 |
86.1cm |
84 cm |
I |
|||
40 |
81cm |
84 cm |
I |
|||
41 |
78.5cm |
83 cm |
I |
|||
42 |
71.1cm |
72 cm |
I |
|||
37.109m |
43 |
84.6cm |
83 cm |
I |
||
44 |
104.4cm |
106 cm |
37m-rope-roll
station (layer is 20cm higher than the one before) |
I |
4. section [1] 11.315m high | |
45 |
96.3cm |
97 cm |
I |
|||
46 |
69.3cm |
73 cm |
I |
|||
40m |
47 |
90.4cm |
90 cm |
I |
||
48 |
90.2cm |
90.5cm |
I |
|||
49 |
79.2cm |
86 cm |
I |
|||
50 |
71.1cm |
70 cm |
I |
|||
43.795m |
51 |
67.6cm |
72.5 cm |
I |
Floor of the King's chamber on 43.03m [2] | |
52 |
66.8cm |
61 cm |
I |
|||
53 |
65cm |
68 cm |
I |
|||
54 |
65.3cm |
63 cm |
I |
|||
55 |
64.3cm |
69 cm |
I |
|||
56 |
63cm |
55 cm |
I |
|||
57 |
57.2cm |
62 cm |
I |
|||
48.336m |
58 |
72.6cm |
68.5cm |
I |
Ceiling of the King's chamber (48.36m) [2] | |
59 |
72.9cm |
75 cm |
I |
5. section [1] 5.355m high | ||
60 |
71.4cm |
70 cm |
I |
|||
50m |
61 |
66.5cm |
67.5cm |
I |
50m height = 82% of the entire pyramid built [5] | |
62 |
62cm |
63.5cm |
I |
Upper tip of the Grand Gallery [2] | ||
63 |
66cm |
65.5cm |
I |
|||
64 |
65cm |
67.5cm |
I |
|||
65 |
66.5cm |
66 cm |
I |
|||
53.642m |
66 |
60.2cm |
60.5cm |
I |
||
67 |
88.9cm |
86 cm |
54m-rope-roll
station (layer is 29cm higher than the one before) |
I |
6. section [1] 5.16m high | |
68 |
77.7cm |
83.5cm |
I |
|||
69 |
82.3cm |
78 cm |
||||
70 |
70.6cm |
64 cm |
I |
|||
71 |
73.2cm |
71 cm |
I |
|||
72 |
65.5cm |
67.5cm |
I |
|||
58.867m |
73 |
64.3cm |
66 cm |
I |
||
74 |
77.2cm |
80 cm |
I |
7. section [1] 4.015m high | ||
60m |
75 |
73.7cm |
76 cm |
I |
||
76 |
59.9cm |
62 cm |
I |
|||
77 |
64.8cm |
64 cm |
I |
|||
78 |
60.2cm |
60 cm |
I |
|||
62.812m |
79 |
58.7cm |
59.5cm |
|||
80 |
61.2cm |
62.5cm |
I |
8. section [1] 6.67m high | ||
81 |
58.9cm |
60 cm |
I |
|||
82 |
59.2cm |
60 cm |
I |
Upper relieving chamber, visible gable [2] | ||
83 |
57.4cm |
60 cm |
I |
|||
84 |
70.6cm |
67 cm |
I |
|||
66.467m |
85 |
58.2cm |
57.5cm |
I |
Upper relieving chamber, approx. height of gable | |
86 |
66.8cm |
67 cm |
I |
9. section [1] 2.52m high | ||
87 |
55.6cm |
66 cm |
I |
|||
88 |
58.7cm |
58 cm |
I |
|||
68.854m |
89 |
57.7cm |
61 cm |
I |
||
90 |
97.8cm |
97 cm |
69m-rope-roll
station (layer is 40cm higher than the one before) |
I |
10. section [1] 6.01m high | |
70m |
91 |
87.1cm |
90.5cm |
I |
||
92 |
84.1cm |
83.5cm |
I |
|||
93 |
74.7cm |
77.5cm |
I |
Approx. height of gable , if there the gabled roof has 3 layers | ||
94 |
66.3cm |
68 cm |
||||
95 |
65cm |
63 cm |
||||
96 |
58.4cm |
60.5cm |
||||
74.849m |
97 |
66cm |
61 cm |
|||
98 |
95.3cm |
100 cm |
75m-rope-roll
station (layer is 29cm higher than the one before) |
11. section [1] 14.115m high | ||
99 |
97.3cm |
99.5cm |
||||
100 |
90.4cm |
90.5cm |
||||
101 |
85.1cm |
85 cm |
||||
102 |
69.6cm |
74 cm |
Exit northern air shaft [2] | |||
103 |
74.4cm |
76 cm |
Exit southern air shaft [2] | |||
80m |
104 |
66.8cm |
68 cm |
|||
105 |
67.1cm |
67.5cm |
||||
106 |
63.5cm |
64 cm |
||||
107 |
63cm |
63.5cm |
||||
108 |
74.4cm |
75.5cm |
||||
109 |
67.6cm |
68 cm |
||||
110 |
58.9cm |
59 cm |
||||
111 |
58.2cm |
60.5cm |
||||
112 |
61.2cm |
59.5cm |
||||
113 |
58.9cm |
60 cm |
||||
114 |
58.4cm |
58 cm |
||||
115 |
56.1cm |
57.5cm |
||||
116 |
68.8cm |
67.5cm |
||||
88.768m |
117 |
56.9cm |
58 cm |
|||
118 |
90.4cm |
90.5cm |
89m-rope-roll
station (layer is 46cm higher than the one before) |
12. section [1] 7.56m high | ||
90m |
119 |
80.8cm |
83 cm |
|||
120 |
75.7cm |
75 cm |
||||
121 |
73.9cm |
74.5cm |
||||
122 |
66cm |
67 cm |
||||
123 |
67.1cm |
66 cm |
||||
124 |
61.7cm |
63 cm |
||||
125 |
63cm |
58 cm |
||||
126 |
58.4cm |
60.5cm |
||||
127 |
57.4cm |
59.5cm |
||||
96.291m |
128 |
57.9cm |
59 cm |
|||
129 |
56.1cm |
70 cm |
13. section [1] 4.81m high | |||
130 |
67.6cm |
65 cm |
||||
131 |
63.2cm |
60.5cm |
||||
132 |
58.9cm |
56.5cm |
||||
133 |
54.6cm |
55.5cm |
||||
134 |
57.9cm |
54.5cm |
||||
100m |
135 |
53.8cm |
61 cm |
100m height = 97% of the entire pyramid built [5] | ||
101.016m |
136 |
60.2cm |
58 cm |
|||
137 |
56.6cm |
68 cm |
14. section [1] 3.585m high | |||
138 |
65.3cm |
65 cm |
||||
139 |
64.8cm |
57 cm |
||||
140 |
55.1cm |
56 cm |
||||
141 |
53.3cm |
56 cm |
||||
104.554m |
142 |
58.7cm |
56.5cm |
|||
143 |
53.1cm |
74 cm |
15. section [1] 3.735m high | |||
144 |
79cm |
68.5cm |
105m-rope-roll station (layer is 26cm higher than the one before) |
|||
145 |
61.5cm |
60 cm |
||||
146 |
60.7cm |
59 cm |
||||
147 |
56.1cm |
56 cm |
||||
108.214m |
148 |
55.6cm |
56 cm |
|||
149 |
55.1cm |
70 cm |
16. section [1] 6.885m high | |||
150 |
67.6cm |
63.5cm |
||||
110m |
151 |
62cm |
59.5cm |
|||
152 |
58.4cm |
59 cm |
||||
153 |
56.4cm |
55 cm |
||||
154 |
55.4cm |
55 cm |
||||
155 |
52.1cm |
54 cm |
||||
156 |
54.1cm |
54.5cm |
||||
157 |
53.8cm |
54.5cm |
||||
158 |
54.9cm |
54.5cm |
||||
159 |
52.3cm |
54.5cm |
||||
114.981m |
160 |
54.6cm |
54.5cm |
|||
161 |
52.6cm |
60 cm |
17. section [1] 9.81m high | |||
162 |
60.5cm |
59 cm |
||||
163 |
56.1cm |
64.5cm |
||||
164 |
65.5cm |
56 cm |
||||
165 |
54.4cm |
54 cm |
||||
166 |
65.5cm |
54 cm |
||||
167 |
52.3cm |
54.5cm |
||||
168 |
50.8cm |
52.5cm |
||||
169 |
52.1cm |
53.5cm |
||||
120m |
170 |
52.8cm |
54 cm |
|||
171 |
50cm |
53 cm |
||||
172 |
53.8cm |
52 cm |
||||
173 |
52.8cm |
49.5cm |
||||
174 |
50cm |
53 cm |
||||
175 |
51.6cm |
53 cm |
||||
176 |
52.1cm |
52.5cm |
||||
177 |
51.6cm |
53 cm |
||||
124.62m |
178 |
51.1cm |
53 cm |
|||
179 |
52.3cm |
67.5cm |
18. section [1] 9.415m high | |||
180 |
67.3cm |
63.5cm |
125m-rope-roll
station (layer is 15cm higher than the one before) |
|||
181 |
62.7cm |
60 cm |
||||
182 |
59.2cm |
58 cm |
||||
183 |
57.2cm |
56 cm |
||||
184 |
56.4cm |
54.5cm |
||||
185 |
52.6cm |
53 cm |
||||
186 |
53.6cm |
52 cm |
||||
187 |
50cm |
52.5cm |
||||
130m |
188 |
53.1cm |
52 cm |
|||
189 |
52.1cm |
52.5cm |
||||
190 |
51.8cm |
54 cm |
||||
191 |
53.8cm |
51.5cm |
||||
192 |
51.1cm |
52 cm |
||||
193 |
52.3cm |
52 cm |
||||
194 |
52.6cm |
52 cm |
||||
133.904m |
195 |
50.3cm |
58.5cm |
|||
196 |
60.7cm |
60.5cm |
19. section [1] 2.86m high | |||
197 |
59.7cm |
56.5cm |
||||
198 |
56.1cm |
55 cm |
||||
199 |
54.9cm |
57.5cm |
||||
136.797m |
200 |
57.9cm |
56.5cm |
Platform | ||
137.361m 138.75m |
201 |
56.4cm |
112 cm |
Nowadays the height of Khufu's pyramid is 138.75m [8]. Remains of the upper stone layers and individual stones lie here, the largest is 1.12m high [1]. It is not known from which stone course it originates. There are also stones here, that are 48.5cm high [1]. |
||
202 |
57.2cm |
Today there are no further stone layers, but in 1880 Petrie [2] measured 2 more layers and calculated a total height of 138.476m (5451.8 inches). | ||||
203 |
54.4cm |
|||||
204 |
80-100cm |
|||||
205 |
80-100cm |
|||||
206 |
80-100cm |
|||||
ca. 140m |
207 |
80-100cm |
||||
208 |
80-100cm |
|||||
209 |
80-100cm |
Small rope-roll station for pyramidion
built slightly set off |
||||
146.59m |
210 |
108-157cm [4] |
20. section [1] 8.36m high - tip of Khufu's pyramid with pyramidion. If exactly 210 stone layers or more existed is not confirmed. 146.59m = 280 royal cubits |
The last 10 stone layers:
Petrie found only remains of the last stone layers which were between 54.4 and
57.2cm high. On the platform which today consists the top of the pyramid lie
stones that are between 48.5cm and 112cm thick. To give as much stability as
possible to the apex (tip) of the pyramid with its pyramidion it is assumed
that the last 2 or 3 stone layers were specially thick.
Transporting the pyramidion to the top of the pyramid
Stone layers on the top of the pyramid of Khufu - from an Italian aerial photography [3] - Photo - Video
Number of stones per stone layer:
Oskar M. Riedl [6] calculated the number of stones per
stone layer if you take an average stone of 127 x 127 x 69cm (median height
of 0.69m and median weight). He calculated in the fist layer 32'000 stones (not
including that there are less stones because of the rock outcropping), with
25'000 stone blocks in the 26th course, 20'000 stone blocks in the 46th course,
15'000 stone blocks in the 68th course, 10'000 stone blocks in the 95th course,
5'000 stone blocks in the 128th course, 1'000 stone blocks in the 174th course
and 500 stone blocks in the 184th course.
Stone bond patterns:
W. Petrie [6] thought, that the stones lying in the very
middle and at the extreme corner of each course of blocks of the pyramid were
layed down specially carefully and then those stones would provide a guide to
ensure the geometrical accuracy of the four right angled corners and the outer
stones between. Specially large and long stone blocks, so called headers were
layed in the middle, so they were well interlocked with the other stones. Because
these stones are missing nowadays, removed for buildings in Cairo, there is
a slight indentation and the pyramid sides seem to be slightly concave.
The outer casing stones of the pyramid
Stone courses of the Pyramid of Khafre:
It would be interesting to compare the structure of the pyramid of Khafre with
the structure of Khufu's pyramid. But unfortunately there is no information
available about the number or height of the stone layers of the pyramid of Khafre.
A look at the pyramid (photo
1 / photo
2 / photo
3) shows some larger stone layers near the top just underneath the casing.
The pyramid of Khafre has a more simple inner structure where the chambers lie
on the bedrock, so thicker stone layers would only be needed for the smaller
rope roll stations for the regular stone blocks.
It is interesting, that the Bent Pyramid also shows an irregular pattern of
thicker stone courses [8].
Transport up the pyramid flank with Löhner's
rope roll
[1] G. Goyon Les ranges d'assises de la
Grande Pyramide / Die Cheops-Pyramide (Anhang II)
[2] W. Petrie The Pyramids and Temples
of Gizeh (Levels of the Courses of the Great Pyramid)
[3] V. Maragioglio und C. Rinaldi
Architettura delle Piramidi Menfite. Le grande piramide di Cheope
[4] Höhe des Pyramidions von 2 Ellen = 1.08m / 3 Ellen = 1.57m
Wie wurde das Pyramidion
bis zur Pyramidenspitze transportiert?
[5] R. Stadelmann Die grossen Pyramiden
von Giza
[6] Oskar M. Riedl Die Maschinen des Herodots
[7] Corrected Great Pyramid Course Elevations (nach Angaben von W. Petrie) -
Webseite
[8] D. Arnold Building in Egypt
Credits: | Copyright 2006: |
Franz Löhner www.cheops-pyramide.ch |
Concept and Design, English Texts: |
Teresa (Zubi) Zuberbühler www.starfish.ch |