Displaying similar documents to “Affine regular decagons in GS-quasigroup.”

Affine regular decagons in GS-quasigroup

Vladimír Volenec, Zdenka Kolar-Begović (2008)

Commentationes Mathematicae Universitatis Carolinae

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In this article the “geometric” concept of the affine regular decagon in a general GS–quasigroup is introduced. The relationships between affine regular decagon and some other geometric concepts in a general GS–quasigroup are explored. The geometrical presentation of all proved statements is given in the GS–quasigroup ( 1 2 ( 1 + 5 ) ) .

Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup

Vladimír Volenec, Z. Kolar--Begović, R. Kolar--Šuper (2012)

Commentationes Mathematicae Universitatis Carolinae

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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...