Rad HAZU, Matematičke znanosti, Vol. 29 (2025), 129-143.

CONICS IN CUBIC STRUCTURE

Vladimir Volenec, Ružica Kolar-Šuper and Zdenka Kolar-Begović

Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
e-mail: volenec@math.hr

Faculty of Education, University of Osijek, 31 000 Osijek, Croatia
e-mail: rkolar@foozos.hr

School of Applied Mathematics and Informatics and Faculty of Education, University of Osijek, 31 000 Osijek, Croatia
e-mail: zkolar@mathos.hr

Abstract.   By using ternary relation, in this paper we introduce the concept of a conic in a general cubic structure, and study the properties of the conics in cubic structures of ranks 1, 2, and 3. By means of points of a conic, we construct different configurations of points and conics, lines and conics, as well as some well-known configurations of points and lines.

2020 Mathematics Subject Classification.   20N05.

Key words and phrases.   Cubic structure, inflection point, tangential, conic.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/9xn31cw8zy

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