KoG, Vol. 29 No. 29, 2025.
Izvorni znanstveni članak
https://doi.org/10.31896/k.29.5
Limits of Triangle Centers
Christian Clemenz
; University of Applied Arts Vienna, Vienna, Austria
*
Boris Odehnal
orcid.org/0000-0002-7265-5132
; University of Applied Arts Vienna, Vienna, Austria
* Dopisni autor.
Sažetak
The construction of a triangle center always produces central triangles which again allow for the construction of the respective center. Doing this infinitely many times may in some cases lead to a known triangle center, but in the vast majority, a new center will show up. The symbolic computational approach is limited in many cases due to the complexity of the computations. In order to overcome these difficulties, we shall start with numerical approaches towards several centers’ limits. This gives rise to some conjectures which later allow for an exact determination of the limit of a triangle center.
Ključne riječi
triangle center; iterated construction; numerical simulation; limit
Hrčak ID:
341621
URI
Datum izdavanja:
19.12.2025.
Posjeta: 801 *