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A ne regular dode ahedron in GS quasigroups Zdenka Kolar Begovi¢ and Vladimir Volene Abstra t The on ept of the a ne regular dode ahedron is de ned in any GS quasigroup by means of twelve ARP relation whi h are valid for ve out of twenty points. A number of statements about the onne tion of the orresponding verti es of the dode ahedron will be proved. Quaternary relations Par, GST , DGST an be found in these statements. The theorem of the unique determination of the a ne regular dode ahedron by means of its four verti es whi h satisfy ertain onditions will be proved. The geometri al interpretation of all mentioned on epts and relations will be given in the GS quasigroup