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

July 6, 2020, 4:27 am UTC    
March 09, 2020 04:59PM
Chris: "Undoubtedly geometric/mathematical based designs underly the design of pyramids - the question is, which of the many schemes researchers have come up with is the correct one?"

Uncertainty regarding the original design of the Bent pyramid exists due to the inability to accurately identify the angles of slope planned by the builders.

I propose so far to leave aside all the debates regarding the reasons for the appearance of dual-slope design (originally planned or not) and consider the lower section separately.

Two features can be noted:

1. The lower faces are convex.


[data by Petrie - A season in Egypt]

However, in some places the faces are flat (marked in green).

The question arises: was such convexity planned by the builders, as Legon suggests, or was this an undesirable effect and the faces should be flat? (Dorner believes that faces were deformed due to irregular shrinkage of the foundations).
Obviously, if Legon is right, then the average value for the lower and upper parts of the lower section should be considered as the angle of slope of the lower section, and if Dorner - the values of the angle of slope near the base only.

2. The lower part of the S. face has a half degree less slope than the lower parts of the other faces (see table). Does this characterize the accuracy available to the builders (±0.3°)?
It is interesting that the lower section of the N. face is almost flat (the difference between lower and upper parts is only 12').

Now consider the hypotheses about why the lower section has such angle of slope.

Stellar.

1. The altitude of the star culminating in the south:
a) Betelgeuse at an altitude of 54° 30' in 2630 BC (Chris Tedder).
b) I have my own hypothesis about which I will write later.

2. The altitude of the star culminating in the north: no candidates.

Geometric.

1. Petrie and Dorner suggest that the design is based on a ratio of 10 : 7 (height : base) which gives a theoretical angle of slope of 55° 00' 29''. This value is very close to the observed average angle for the lower part of the lower section (Petrie's 55° 01'; see table).

2. Legon suggests that the design is based on a ratio of rt2 : 1 (height : base), which gives a theoretical angle of slope of 54° 44' 06''. This value is very close to the observed average angle for the lower and upper parts of the lower section (Petrie's 54° 46'; see table).

The following observation is in favor of the Legon's hypothesis.

Three designs of the Snofru pyramids in Dahshur:
- Bent inner pyramid (Base = 300c; Angle = 60°; Height = 300/2 * tan (60°) = 260c);
- Bent lower section (Base = 362c; Angle = 54° 44' 06''; Height = 362/2 * tan (54° 44' 06'') = 256c);
- Red pyramid (Base = 418c; Angle = 45°; Height = 418/2 * tan (45°) = 209c)
linked by angles (alpha, beta, gamma) as follows:


[drawing by M.Ramirez - The Great pyramid of Giza, an optimized geometry?]


[alpha, beta, gamma are calculated for y,x]

That is, if we accept that the Red Pyramid was planned with the angle of slope of 45° (as Dorner suggests), then not only the angle of inclination of its faces (45,000°) is equal to the angle of inclination of the edges of the Bent pyramid (45,003°), but the angle of the triangular faces of Red pyramid (54,736°) is equal to the angle of slope of the Bent pyramid (54,738° = 54° 44' 17'').

Alex.



Edited 6 time(s). Last edit at 03/09/2020 05:14PM by keeperzz.
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