engleski

Affine regular polygons and polyhedra in GS-quasigroup

A GS--quasigroup is defined as an idempotent quasigroup which satisfies the mutually equivalent identities $a(ab \cdot c)\cdot c=b$, $a \cdot (a \cdot bc)c=b$. Some interesting geometric concepts can be defined in a general GS--quasigroup. The concepts of the affine regular polygons and polyhedra in a general GS--quasigroup are introduced by means of the identities and relations which are valid in a general GS--quasigroup. The geometrical representation of the introduced concepts and relations between them will be given in the GS--quasigroup $C( \frac{;1};{;2};(1+\sqrt 5 ))$.

GS-quasigroup

nije evidentirano