Affine Fullerene C60 in a GS-Quasigroup

Abstract

It will be shown that the affine fullerene C₆₀, which is defined as an affine image of buckminsterfullerene C₆₀, can be obtained only by means of the golden section. The concept of the affine fullerene C₆₀ will be constructed in a general GS-quasigroup using the statements about the relationships between affine regular pentagons and affine regular hexagons. The geometrical interpretation of all discovered relations in a general GS-quasigroup will be given in the GS-quasigroup $\mathbb{C}(\left(1/2\right)(1+\sqrt{5}))$.