Naslov
Affine regular dodecahedron in GS-quasigroups

Autori
Kolar-Begovć, Zdenka ; Volenec, Vladimir

Izvornik
Quasigroups and Related Systems (1561-2848) 13 (2005); 229-236

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
GS-quasigroup; affine regular dodecahedron

Sažetak
The concept of the affine regular dodecahedron is defined in any GS-quasigroup by means of twelve ARP relation which are valid for five out of twenty points. A number of statements about the connection of the corresponding vertices of the dodecahedron will be proved. Quaternary relations Par, GST, DGST can be found in these statements. The theorem of the unique determination of the affine regular dodecahedron by means of its four vertices which satisfy certain conditions will be proved. The geometrical interpretation of all mentioned concepts and relations will be given in some concrete GS-quasigroup.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA