Displaying similar documents to “Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup”

On universal quasigroup identities

Elena Brožíková (1992)

Mathematica Bohemica

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The paper deals with quasigroup identities under isotopies. The terminology is taken from [2], [3] and [4]. Stimulated by geometric illustrations, V. D. Belousov in [2] has presented two important identity properties and posed a question for which identities these properties are necessary and sufficient for the identity to be invariant under isotopies. Inspired by V. D. Belousov, G. Monoszová investigated in [6] one special kind of identities for which both Belousov’s properties give...

Symmetries in hexagonal quasigroups

Vladimír Volenec, Mea Bombardelli (2007)

Archivum Mathematicum

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Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries.

Skewsquares in quadratical quasigroups

Vladimír Volenec, Ružica Kolar-Šuper (2008)

Commentationes Mathematicae Universitatis Carolinae

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The concept of pseudosquare in a general quadratical quasigroup is introduced and connections to some other geometrical concepts are studied. The geometrical presentations of some proved statements are given in the quadratical quasigroup ℂ ( 1 + i 2 ) .