Volenec, V.; Kolar-Begović, Z. Affine regular decagons in GS-quasigroup. (English) Zbl 1192.20063 Commentat. Math. Univ. Carol. 49, No. 3, 383-395 (2008). Summary: 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 \(\mathbb{C}(\tfrac 12(1+\sqrt 5))\). MSC: 20N05 Loops, quasigroups 51A15 Linear incidence geometric structures with parallelism 51A25 Algebraization in linear incidence geometry Keywords:GS-quasigroups; affine regular decagons; affine regular pentagons; golden section quasigroups PDFBibTeX XMLCite \textit{V. Volenec} and \textit{Z. Kolar-Begović}, Commentat. Math. Univ. Carol. 49, No. 3, 383--395 (2008; Zbl 1192.20063) Full Text: EuDML EMIS