Geometry of pentagonal quasigroups | Zendy

Stipe Vidak | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Geometry of pentagonal quasigroups

Author(s) -

Stipe Vidak

Publication year - 2015

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim141208013v

Subject(s) - parallelogram , quasigroup , mathematics , euclidean geometry , equilateral triangle , geometry , pure mathematics , computer science , robot , artificial intelligence

Pentagonal quasigroups are IM-quasigroups in which the additional identity of pentagonality holds. Motivated by the example C(q), where q is a solution of the equation q4−3q3+4q2−2q+1=0, some basic geometric concepts are introduced and studied in a general pentagonal quasigroup. Such concepts are parallelogram, midpoint of a segment, regular pentagon and regular decagon. Some theorems of Euclidean plane which use these concepts are stated and proved in pentagonal quasigroups.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research