Pistol Wrote:
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> How does all this seked (gradient)
> conceptualization stack up against G2?

Since all evidence points to the Ancient Egyptian system actually being sexagesimal in nature the square-circle-hexagon comes into play the arc to chord ratio for a hexagon is 22/21 therefore: G1 seked divided by the arc to chord ratio 22/21 gives G2 a seked of 5 1/4.
5 1/2 / 22/21 = 5 1/4 units as a gradient 5 1/4 / 7 gives a base to height ratio of 3/4 or the 3-4-5 triangle making the pyramid base to height ratio of G2 6/4 or 3/2. Remember the seked is the cotangent of our modern angle, meaning we work from height to base to achieve the angle and need to reverse the base to height ratio and use the height to base ratio which would be G2 = 4/3 tan = 53º 7' 48.37” as the gradient. So G1 14/11 * 22/21 = 4/3 G2 Please keep in mind this is only the seked and has nothing to do with the base dimensions. G1 seked is built with the circle-square as shown here:
[www.imagecoast.com] I apologize for the small drawing and I am working on getting a larger more readable drawing. But it does give fair representation of the square and circle relationship to G1.
Where G2 is built on the 3-4-5-6 triangle, but are still related to G1 by virtue of the hexagon-circle. The Sexagesimal system is still in use today in a form modified to fit the metric system for measuring time, angles and geographic coordinates that are angles.

> we can all agree G2 has a base dimension that was
> intented to be 411 royal cubits.
>

I personally would not necessarily agree that the intended base is 411 cubits since no one has actually defined the length of the cubit. My personal favorite for the defined length of the Royal Egyptian cubit is (hexagon 6 sides) 6 * 60 * 60 * 60 = 1296000 seconds of arc (circle) 1296000 / 4 / 11 * 7 = 206181 9/11 seconds of arc as the radius of the circle. Which if divided by 1000 gives the width of the Kings Chamber in inches. Further divided by 10 gives the Royal Egyptian Cubit a length of 20 34/55 inches (20 +1/2 + 1/10 + 1/55) in which the arc second circle allows both the cubit and the inch to mutually define one another and the method by which all other cubits are derived and subject to the name Royal.

1296000 / 176 = 7363.363636... = 81000 / 11 or 10,000 digits of 81/110...81/ 110 * 28 = 20 34/55 inches or 14/11 * 99/70 * 21/22 = 189/110 feet or the foot cubit ratio of G1, 756/440 = 189/110 where geometric concepts create the units of measure.

1296000 / 175 = 7405.7142857...= 51840 / 7 or 10000 digits of 648/875 ...648/875 * 28 = 20+92/125 inches (20 + 1/2 + 1/6 + 1/15 + 1/375) or 1.728 feet (12^3 / 1000) Standard Egyptian Cubit.

Petrie's estimate established from measures: i.e Royal Egyptian cubit of 20 34/55 with 1/3024 portion added equals the cubit of 20 5/8 or 20.625 since that is what you seem to be using. 20 34/55 / (3024/3025) = 20 5/8 (165/8) (20 5/8 = 20 + 1/2 + 1/8) and all other cubits found in G1 and other pyramids can be calculated using these same methods.

> Adopting G2's diagonal 581.2417 rc as a diameter
> results in a circumference of 1826.0246 rc (using
> pi).
>
pi is acceptable in the form of 44/7 and gives the same results as 4 / 11 * 7, but by using pi one misses the scenery that is attached to the square-circle-hexagon hypothesis.

> 1826.0246 divided by 5 = 365.2049 rc...pretty darn
> close to a solar year. If we wanted to reverse
> from the actual number of days in a solar year we
> get...

Why did you divide by five? Is there some aspect of G2 that lead you to do that because dividing by five would be understandable with a unit of time, but they normally appear as inches or feet and not as cubits other than the Longer Egyptian cubit of (38016/21875 feet). All of the calculations for years I have found given in inches are based on the Sothic Calendar of 365 days in order to coincide with the seked based geographic coordinate system using seked. In which there are 15 geographic seconds in one second earth's rotation. 86400 * 15 = 1296000, but this is all spelled out in G1, Red and Bent Pyramids.

>
> 365.23 rc (days in a solar year ) x 5 = 1826.15
> rc
>
> 1826.15 rc/581.2417 rc = 3.1418 rc translated = 3
> + 1/8 + 1/60 + 1/7500
>
> best, B.A. Hokom

I have already said too much so I will shut up now.

Regards
Jacob