The article's claims about the dimensions of the Great Pyramid relating exactly to pi and to the golden ratio can't both be right.
Let's assume that the side of the pyramid has length exactly 1, for a base perimeter of 4. Then according to
> if you divide half the length of the Pyramid’s base perimeter by its height, you end up with π
the height h equals 2/π. While according to
> If we take the surface area of the four sides, and divide that by the area of the base, we come to the value of Ψ,
Ψ = 2 * sqrt(h^2+1/4) = 2 * sqrt(4/π^2+1/4) ~ 1.618993187
That's close to Phi = (1+sqrt(5))/2 ~ 1.618033989, but certainly not equal, already differing in the 3rd decimal.
Let's assume that the side of the pyramid has length exactly 1, for a base perimeter of 4. Then according to
> if you divide half the length of the Pyramid’s base perimeter by its height, you end up with π
the height h equals 2/π. While according to
> If we take the surface area of the four sides, and divide that by the area of the base, we come to the value of Ψ,
Ψ = 2 * sqrt(h^2+1/4) = 2 * sqrt(4/π^2+1/4) ~ 1.618993187
That's close to Phi = (1+sqrt(5))/2 ~ 1.618033989, but certainly not equal, already differing in the 3rd decimal.