Why Is the Great Pyramid So Precisely Proportioned and Why Do Geodetic Ratios Appear Repeatedly?
The surveyed dimensions of the Great Pyramid of Giza exhibit mathematical relationships that have fascinated scholars since the nineteenth century. The ratio of the pyramid's perimeter to its height closely approximates 2π (6.2832...), and the ratio of the slant height of a face to half the base length closely approximates the golden ratio φ (1.6180...). These relationships are mathematical consequences of each other: if the π ratio holds, the φ ratio follows (and vice versa), because the two constants are linked through the pyramid's specific geometry — a seked (slope) of approximately 5½ palms per cubit.
Introduction
The surveyed dimensions of the Great Pyramid of Giza exhibit mathematical relationships that have fascinated scholars since the nineteenth century. The ratio of the pyramid's perimeter to its height closely approximates 2π (6.2832...), and the ratio of the slant height of a face to half the base length closely approximates the golden ratio φ (1.6180...). These relationships are mathematical consequences of each other: if the π ratio holds, the φ ratio follows (and vice versa), because the two constants are linked through the pyramid's specific geometry — a seked (slope) of approximately 5½ palms per cubit.