Izvorni znanstveni članak
https://doi.org/10.64785/mc.31.1.2
Exploring the configurations \((12_{4}, 16_{3}\)) of Václav Metelka in a cubic structure
Vladimir Volenec
; Department of Mathematics, Faculty of Science and Mathematics, University of Zagreb, Zagreb, Croatia
Ružica Kolar-Šuper
orcid.org/0000-0002-8945-2745
; Faculty of Education, University of Osijek, Osijek, Croatia
*
* Dopisni autor.
Sažetak
In this paper, we investigate four configurations \((12_{4}, 16_{3}\)) in cubic structures, introduced by Václav Metelka,
and discover new unexpected extra collinearities in two Metelka’s configurations that arise from our realizations in cubic
structures. Next, we establish the existence of various geometric concepts in four Metelka’s configuration including
tangential points, inflection points, sextactic points, and quadrilaterals, and find and study significant relationships
among these geometric concepts.
Ključne riječi
configuration \((12_{4}, 16_{3}\)); cubic structure; tangential of a point; inflection point
Hrčak ID:
345975
URI
Datum izdavanja:
2.4.2026.
Posjeta: 196 *