Home of the The Hall of Ma'at on the Internet
Home
Discussion Forums
Papers
Authors

July 6, 2020, 6:31 am UTC    
February 18, 2020 07:10PM
The Satellite Pyramid of the Bent Pyramid is a model of the Red Pyramid (Petrie's North Stone Pyramid).

The slope of the Satellite Pyramid is the cotangent of 100/99 in my model with the base side length as 100 cubits from Petrie. Its distance from the centre of the south side of the Bent Pyramid is 99 cubits based on Petrie.

Division of the base of the Satellite Pyramid into quarter squares means that projections at 45 degrees yield a square at the centre of the base of the Bent Pyramid, and that square frames a circle with a circumference of 360 cubits which is conspicuous from Petrie's model of the base side length of the Bent Pyramid as 360 cubits.

Petrie's survey shows that the Satellite Pyramid is skew at an angle very close to the cotangent of 180 which is taken as the intended skew.

The cotangent of 180 is 7/22 cubits on the model 360 cubit circle from the pi approximation 22/7 which in modern parlance would mean an angle of 1/Pi degrees for the pi approximation 22/7, but simply represents the conversion of a very small angle of a circle to a cotangent (by taking the arc as the 'rise' and the radius as the 'run').

An angle of 45 degrees minus 7/22 degrees is 44 degrees + 15/22 degrees which is precisely the cotangent of 100/99.

From modern trigonometry the cotangent 100/99 is an angle of 44 degrees 42.7 arc minutes.
And 44 degrees + 15/22 degrees is 44 degrees 40.9 arc minutes, so precisely the cotangent of 100/99 within 1.8 arc minutes.

The Satellite Pyramid may be regarded as a scale model of the Red Pyramid, and as having been built to project its symbolism. Sneferu would have been able to imagine the Red Pyramid before it was built, and his workers would have been encouraged by the model. The king, the architect and an inner circle of priests would have known its secret

Petrie calculated the height of the Satellite Pyramid incorrectly as 2034 inches having quoted an angle of 44 degrees 34 minutes and a mean side length of 2064.6 cubits.

Petrie wrote 'This is certainly intended for 100 cubits of 20.646 inches plus or minus 0.005 inches.' (for the side length of the base).

As a modern decimal analysis:

The projected height is actually 2036/2 inches from Petrie's measurements or 1018 inches which converts to approximately 49.3 cubits.

The proposed cotangent of 100/99 would be a height of 49.50 cubits.

An angle of 44 degrees + 15/22 degrees would be 49.45 cubits.

A template with a base of 100 digits would have a vertical height of 99 digits or 98.9 digits.

I think the design height was 49.5 cubits, so a simple template.

Petrie wrote: 'This is probably the same angle as the North Stone Pyramid which I observed as 44 degrees 36 minutes on its core masonry.'

The same master template was probably used for both the Satellite Pyramid and the North Stone Pyramid.

Mark
Subject Author Posted

Red Pyramid - New Geometric Model

Mark Heaton February 16, 2020 05:55PM

Re: Red Pyramid - New Geometric Model

Byrd February 16, 2020 07:42PM

Re: Red Pyramid - Petrie's slope / error?

Mark Heaton February 17, 2020 04:44AM

Re: Red Pyramid - Petrie's slope / error?

keeperzz February 17, 2020 11:40AM

Re: Red Pyramid - Petrie's slope / error?

Mark Heaton February 17, 2020 04:10PM

Re: Red Pyramid - New Geometric Model

Spiros February 16, 2020 08:47PM

Re: Red Pyramid - Side Length?

Mark Heaton February 29, 2020 11:25AM

Re: Red Pyramid - New Geometric Model

Hermione February 17, 2020 03:39AM

Re: Red Pyramid - New Geometric Model

Mark Heaton February 17, 2020 05:10AM

Re: Red Pyramid - New Geometric Model

waggy February 17, 2020 12:58PM

Re: Red Pyramid - New Geometric Model

Mark Heaton February 17, 2020 04:04PM

A better way

Hans February 17, 2020 05:33PM

Re: A better way

Mark Heaton February 18, 2020 05:03PM

Re: Red Pyramid - New Geometric Model

waggy February 17, 2020 11:08PM

Re: Red Pyramid - New Geometric Model

Hans February 18, 2020 12:21AM

Re: Red Pyramid - New Geometric Model

Mark Heaton February 18, 2020 07:10PM

Re: Red Pyramid - New Geometric Model (correction)

Mark Heaton February 19, 2020 03:14AM

Re: Red Pyramid - Perring v Dorner Query

Mark Heaton March 10, 2020 03:45PM

Re: Red Pyramid - New Geometric Model

GChase February 17, 2020 05:41PM

Re: Red Pyramid - New Geometric Model

waggy February 17, 2020 11:38PM

Re: Red Pyramid - New Geometric Model

Chris Tedder February 20, 2020 07:57AM

Re: Red Pyramid - New Geometric Model

GChase February 20, 2020 09:37AM

Re: Red Pyramid - New Geometric Model

Chris Tedder February 20, 2020 04:02PM

Re: Red Pyramid - Solar Model

Mark Heaton February 20, 2020 04:49PM

Re: Red Pyramid - Solar Model

Chris Tedder February 21, 2020 12:27PM

Re: Red Pyramid - Solar Model

Mark Heaton February 21, 2020 04:45PM

Re: Red Pyramid - Solar Model

GChase February 21, 2020 05:37PM

Re: Red Pyramid - Solar Model

Mark Heaton February 21, 2020 06:48PM

Re: Red Pyramid - Solar Model

GChase February 22, 2020 04:06AM

Re: Red Pyramid - Solar Model

Chris Tedder February 22, 2020 02:20PM

Re: Red Pyramid - Solar Model

Mark Heaton February 22, 2020 05:04PM

Re: Red Pyramid - Solar Model

Mark Heaton February 22, 2020 05:17PM

Re: Red Pyramid - New Geometric Model

keeperzz February 23, 2020 11:06AM

Re: Red Pyramid - New Geometric Model

GChase February 24, 2020 07:54AM

Re: Red Pyramid - New Geometric Model

robin cook February 23, 2020 07:58AM

Re: Red Pyramid - New Geometric Model

Hermione February 23, 2020 08:42AM

Re: Red Pyramid - New Geometric Model

keeperzz February 23, 2020 10:21AM

Re: Red Pyramid - New Geometric Model

Mark Heaton February 23, 2020 11:48AM

Re: Red Pyramid - New Geometric Model

GChase February 23, 2020 04:26PM

Re: Red Pyramid - New Geometric Model

robin cook February 24, 2020 09:24AM

Re: Red Pyramid - Dorner's Survey - link?

Mark Heaton February 24, 2020 09:50AM

Re: Red Pyramid - New Geometric Model

GChase February 24, 2020 10:49AM

Re: Red Pyramid - New Geometric Model

keeperzz February 24, 2020 01:26PM

Dorner's Diagrams

GChase February 24, 2020 01:50PM

Re: Dorner's Diagrams

keeperzz February 24, 2020 04:09PM

Re: Dorner's Diagrams

Hermione February 24, 2020 05:21PM

Re: Dorner's Diagrams

GChase February 24, 2020 06:40PM

Re: Dorner's Diagrams

Hermione February 25, 2020 03:34PM

Re: Dorner's Diagrams

keeperzz February 25, 2020 03:37PM

Re: Dorner's Diagrams

robin cook February 25, 2020 04:59AM

Re: Dorner's Diagrams

GChase February 25, 2020 07:43AM

Re: Dorner's Diagrams

robin cook February 25, 2020 12:43PM

Re: Dorner's Diagrams

Chris Tedder February 25, 2020 03:37PM

Re: Dorner's Diagrams

keeperzz February 25, 2020 04:58PM

Re: Dorner's Diagrams

Hermione February 26, 2020 03:38AM

Re: Dorner's Diagrams

GChase February 25, 2020 03:13PM

Re: Dorner's Diagrams

GChase February 25, 2020 05:35PM

Re: Dorner's Diagrams

Mark Heaton February 25, 2020 06:25PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Mark Heaton February 25, 2020 05:59PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase February 26, 2020 07:51AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder February 26, 2020 08:28AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase February 26, 2020 09:06AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder February 26, 2020 09:36AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

robin cook February 26, 2020 10:18AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder February 26, 2020 04:33PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase February 26, 2020 05:07PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Mark Heaton February 26, 2020 07:43PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Mark Heaton February 27, 2020 04:22AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga February 27, 2020 06:10AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz February 27, 2020 11:17AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase February 27, 2020 04:28AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga February 27, 2020 01:10AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Sirfiroth February 26, 2020 11:09PM

Re: Dorner's Bent Pyramid Diagrams

GChase February 27, 2020 12:18PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz February 27, 2020 12:11PM

Re: Dorner's Bent Pyramid Diagrams - Solved ?

GChase February 27, 2020 12:50PM

Re: Dorner's Bent Pyramid Diagrams - Solved ?

robin cook February 27, 2020 02:17PM

Re: Dorner's Bent Pyramid Diagrams - Solved ?

GChase February 27, 2020 03:20PM

Re: Dorner's Bent Pyramid Diagrams - Solved ?

keeperzz February 28, 2020 03:51PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder February 28, 2020 04:49AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga February 28, 2020 07:25AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz February 29, 2020 03:44PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 02, 2020 09:01AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga March 02, 2020 09:50AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz March 03, 2020 02:23AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 03, 2020 05:10AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Pistol March 03, 2020 01:21PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 03, 2020 04:38PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Pistol March 04, 2020 02:51AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 04, 2020 10:26AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Pistol March 05, 2020 02:51AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 05, 2020 08:42AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 04, 2020 08:36AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 05, 2020 09:00AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 05, 2020 02:55PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 05, 2020 04:20PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz March 03, 2020 03:23PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 03, 2020 04:47PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 03, 2020 06:20AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 03, 2020 04:40PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga March 03, 2020 07:38AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Mark Heaton March 03, 2020 02:19PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz March 03, 2020 03:28PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga March 04, 2020 07:38AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 04, 2020 08:49AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga March 05, 2020 05:51AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

GChase March 05, 2020 06:10AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 02, 2020 02:07PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

keeperzz March 05, 2020 04:52PM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Chris Tedder March 07, 2020 07:51AM

Bent Pyramid lower section

keeperzz March 09, 2020 04:59PM

Re: Bent Pyramid lower section

Kanga March 10, 2020 12:27AM

Re: Bent Pyramid lower section

keeperzz March 10, 2020 05:42PM

Re: Bent Pyramid lower section = Red Pyramid

Mark Heaton March 10, 2020 10:20AM

Re: Bent Pyramid lower section = Red Pyramid

keeperzz March 11, 2020 09:58AM

Re: Bent Pyramid lower section = Red Pyramid

Mark Heaton March 11, 2020 11:55AM

Re: Bent Pyramid lower section

GChase March 10, 2020 12:22PM

Re: Bent Pyramid lower section

Chris Tedder March 11, 2020 10:44AM

Re: Dorner's Red Pyramid and Bent Pyramid Diagrams

Kanga March 08, 2020 07:58AM

Bent Pyramid - You are all wrong

Kanga February 27, 2020 01:21AM

Re: Bent Pyramid - You are all wrong

GChase February 27, 2020 04:39AM

slope angles

robin cook February 27, 2020 05:17AM

Re: slope angles

keeperzz February 27, 2020 01:02PM

Re: slope angles

robin cook February 27, 2020 04:47PM

Re: slope angles

keeperzz February 28, 2020 06:56AM

Re: slope angles

robin cook February 28, 2020 09:02PM

Re: slope angles / solar model

Mark Heaton February 27, 2020 04:56PM

Re: slope angles / solar model

keeperzz February 28, 2020 03:26PM

Re: slope angles / solar model

Mark Heaton February 28, 2020 07:09PM



Sorry, only registered users may post in this forum.

Click here to login