November 08, 2019 12:37PM
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Registered: 11 years ago
Posts: 1,174
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Well done Waggi
Your model is an elegant model of the volume of a sphere with a diameter of 2.5 cubits (70 digits).
I calculated the geometric model in digits to a hundredth of a digit then rounded to the nearest fraction with no more than 16 divisions per digit then converted to British inches for comparison to the measurements of Petrie and Smyth:
I rounded Petrie's cubit of 20.632 inches for the granite King's Chamber to 20.63 inches as there is no significant difference.
The model of the interior is prior to the lid and rebate for the lid.
The internal area is said to be equal to a circle with a diameter of 2.5 cubits and the internal diagonal is 4 cubits.
The cubit was divided into 7 palms and 28 digits as 4 digits per palm according to I.E.S. Edwards.
The internal depth has to be 2/3 x 2.5 cubits = 46.66 digits for the volume of a sphere with a diameter of 2.5 cubits.
I used the pi approximation 22/7 in view of the 22/7 model of the exterior.
I calculated the model as:
105.94 digits X 36.34 digits X 46.67 digits are the theoretical approximations to Smyth's model for 22/7 on rounding to 2 decimal places.
A sphere with a diameter of 2.5 cubits equates to precisely 179,666.66 cubic digits for Pi = 22/7
Internal length 105 digits plus 15/16 digits, (Waggi 106) model 78.05 inches, mean of Petrie and Smyth 78.00 inches, diference 0.05 inches
Internal width 36.33 digits, (Waggi 36.33), model 26.77 inches, mean of Petrie and Smyth 26.77 inches, diference 0.00 inches
Internal depth 46.66 digits, (Waggi 46.66), model 34.38 inches, mean of Petrie and Smyth 34.38 inches, difference 0.00 inches
The internal length and internal width are irregular lengths defined by the internal diagonal of 4 cubits which equates to 112 digits:
112 digits, model 82.52 inches, mean of Petrie and Smyth 82.47 inches, difference 0.05 inches
Mark
Edited 4 time(s). Last edit at 11/08/2019 01:09PM by Mark Heaton.
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Mark Heaton |
November 06, 2019 05:40PM |
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Mark Heaton |
November 07, 2019 02:08PM |
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Pistol |
November 07, 2019 02:49PM |
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Hans |
November 07, 2019 04:51PM |
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Pistol |
November 07, 2019 05:26PM |
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Hans |
November 07, 2019 06:45PM |
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waggy |
November 08, 2019 06:34AM |
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Mark Heaton |
November 08, 2019 12:37PM |
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waggy |
November 09, 2019 11:27AM |
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Hans |
November 09, 2019 11:40AM |
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waggy |
November 09, 2019 12:44PM |
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Hans |
November 09, 2019 04:57PM |
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Spiros |
November 15, 2019 12:08PM |
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Hans |
November 15, 2019 04:51PM |
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Pistol |
November 15, 2019 05:17PM |
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Spiros |
November 15, 2019 05:46PM |
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Hans |
November 15, 2019 06:03PM |
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Mark Heaton |
November 09, 2019 05:29PM |
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Hans |
November 09, 2019 05:56PM |
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Mark Heaton |
November 10, 2019 05:51AM |
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Byrd |
November 12, 2019 11:34PM |
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Mark Heaton |
November 13, 2019 06:01PM |
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Byrd |
November 19, 2019 01:36PM |
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Mark Heaton |
November 20, 2019 04:25PM |
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waggy |
November 10, 2019 06:34AM |
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Mark Heaton |
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waggy |
November 10, 2019 02:25PM |
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Mark Heaton |
November 10, 2019 02:27PM |
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waggy |
November 10, 2019 03:25PM |
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Mark Heaton |
November 10, 2019 03:57PM |
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waggy |
November 10, 2019 04:53PM |
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Mark Heaton |
November 10, 2019 07:46PM |
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Hans |
November 10, 2019 07:14PM |
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Mark Heaton |
November 10, 2019 08:05PM |
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Hans |
November 10, 2019 07:09PM |
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Mark Heaton |
November 10, 2019 01:53PM |
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Mark Heaton |
November 08, 2019 03:08PM |
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Hans |
November 09, 2019 12:38AM |
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Mark Heaton |
November 09, 2019 04:35AM |
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Mark Heaton |
November 08, 2019 03:10PM |
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Spiros |
November 09, 2019 01:59PM |
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Hans |
November 09, 2019 04:53PM |
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Spiros |
November 09, 2019 04:59PM |
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Hans |
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waggy |
November 10, 2019 06:40AM |
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Hermione |
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waggy |
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Spiros |
November 15, 2019 11:44AM |
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Hans |
November 10, 2019 06:59PM |
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Spiros |
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Hans |
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Spiros |
November 15, 2019 11:25PM |
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Mark Heaton |
November 17, 2019 06:40AM |
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Spiros |
November 17, 2019 12:57PM |
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Mark Heaton |
November 18, 2019 03:40PM |
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Spiros |
November 19, 2019 10:29AM |
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Pistol |
November 19, 2019 12:09PM |
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Mark Heaton |
November 19, 2019 12:33PM |
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Pistol |
November 19, 2019 12:49PM |
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Mark Heaton |
November 20, 2019 03:55PM |
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Pistol |
November 21, 2019 12:57AM |
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Mark Heaton |
November 21, 2019 05:45AM |
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Mark Heaton |
November 20, 2019 07:51PM |
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Pistol |
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Mark Heaton |
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Pistol |
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Hans |
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Spiros |
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Pistol |
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Hans |
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Mark Heaton |
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Hans |
November 26, 2019 10:41AM |
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Warwick L Nixon |
November 26, 2019 12:50PM |
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Mark Heaton |
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Hans |
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Mark Heaton |
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Hans |
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Mark Heaton |
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Hans |
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Mark Heaton |
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Byrd |
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Mark Heaton |
November 30, 2019 02:41PM |
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Byrd |
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Hermione |
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Mark Heaton |
November 19, 2019 12:48PM |
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Spiros |
November 19, 2019 11:54AM |
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Mark Heaton |
November 20, 2019 04:08PM |
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Spiros |
November 20, 2019 06:44PM |
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Spiros |
November 22, 2019 10:21AM |
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Mark Heaton |
November 23, 2019 02:58PM |
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Spiros |
November 25, 2019 12:23PM |