Naslov
Affine-regular octahedron in GS-quasigroups

Autori
Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Loops'11, Abstracts / - Prag, 2011, 11-11

Skup
Loops'11

Mjesto i datum
Třešť, Češka Republika, 25.07.2011. - 27.07.2011

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
GS-quasigroup; affine-regular octahedron

Sažetak
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 $C( 1\2(1 +\sqrt5))$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA