Geodesic
Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 501-507.

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The concept of the affine regular icosahedron and affine regular octahedron in a general GS-quasigroup will be introduced in this paper. The theorem of the unique determination of the affine regular icosahedron by means of its four vertices which satisfy certain conditions will be proved. The connection between affine regular icosahedron and affine regular octahedron in a general GS-quasigroup will be researched. The geometrical representation of the introduced concepts and relations between them will be given in the GS-quasigroup $\mathbb{C}(\frac{1}{2}(1+\sqrt 5))$.
Classification : 20N05
Keywords: GS-quasigroup; affine regular icosahedron; affine regular octahedron 
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     title = {Affine regular icosahedron circumscribed around the affine regular octahedron in {GS--quasigroup}},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {501--507},
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     zbl = {1265.51008},
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Volenec, V.; Kolar--Begović, Z.; Kolar--Šuper, R. Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 501-507. http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a13/