Giza. G2 Position and Size Solution

Hello,

Past attempts to explain the position and size of G2 contained a degree of error that rendered the solutions less than convincing.

For example, the north-south distance between the bases of G1 and G2 is about 250.5 cubits and seems to be intentional but, standing alone, the deviation from 250 is more than might be expected. Moreover, if this measure is used in subsequent calculations, it seems to compound the error and produce unacceptable results.

Here is a solution. If the builders of G2 established its position and size based on G1 features, its seems reasonable to assume that they worked with the two closest points --i.e., the SW corner of G1 and the NE corner of G2. It also seems reasonable to assume that they used 440 cubits as the base length of G1. Thus, on paper, the builders would have drawn G1 as 440 cubits and, on the plateau, used its south-west corner as the origin and departure point for measuring to G2.

Typically, attempts to solve for G2 use Petrie's data set and use the casing base as defining G1. As an alternative, it seems acceptable to add the platform widths to these dimensions. The platform was a discernable feature of G1 and the hieroglyphic symbol for "pyramid" is a pyramid shape sitting on a platform.

Finally, it seems reasonable to accept that if a distinctive geometric shape solves for G2 it was intentional or derives from an intent.

With these assumptions, it is possible to establish the position and size of G2 with four line. The positional error is .294 cubits or 1/10th of one percent. The quarter-base error is .077 cubits or 7/100ths of one percent.

If this solution is the method actually used by the builders, it would seem to suggest a special interest in triangles.

01 Given: 250, 500, 433.013 right-triangle
02 At G1 SW corner, redraw base to 440 cubits
03 Add platform
04 Begin at G1P-S-2/4
05 Go west 433.013 cubits to "A"
06 Go south 250 cubits to G2 NE corner
07 Draw line from G1P-W-2/4 to G2 NE corner
08 Perpendicular line to "A" = G2 Quarter-base

Notes:
"west" = G1 south base direction
"south" = 90 degrees to G1 south base direction
Actual south may be G2 east base direction; error would be .196 cubits instead of .021 cubits.

Please let me know if you find any errors.



C. Wayne Taylor
Richmond, Virginia USA



Edited 2 time(s). Last edit at 10/30/2007 12:51PM by C_Wayne.