Therefore, in every realization, there are four points having the same cross-ratio as the realization derived from the regular pentagon, 1 +\\ varphi where\\ varphi is the golden ratio, an irrational number.
There are four points. This is in every realization. This is therefore. These four points are having the same cross-ratio as the realization. This realization is derived from the regular pentagon. The regular pentagon is 1 +\\ varphi where\\ varphi is the golden ratio. The golden ratio is an irrational number.