engleski

Affine-regular octahedron in GS-quasigroups

A golden section quasigroup (shortly GS-quasigroup) is defned as an idempotent quasigroup which satis es the mutually equivalent identities a(ab
c)
c = b, a
(a
bc)c = b. In a general GS-quasigroup the geometrical concept of an ane{;regular octahedron will be introduced. A number of statements about the relationships between an ane{;regular octahedron and some other geometric concepts in a general GS-quasigroup will be proved. The geometrical representation of all proved statements will be given in the GS-quasigroup $C( 1\2(1 +\sqrt5))$.

GS-quasigroup; affine-regular octahedron

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