Pregled bibliografske jedinice broj: 1169324
The Golden Section’s heptagonal connections
The Golden Section’s heptagonal connections // Proceedings of the 3rd Croatian Combinatorial Days / Došlić, Tomislav ; Majstorović, Snježana (ur.)., 2021. str. 15-26 doi:10.5592/CO/CCD.2020.02
CROSBI ID: 1169324 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Golden Section’s heptagonal connections
Autori
Došlić, Tomislav
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Proceedings of the 3rd Croatian Combinatorial Days
Urednik/ci
Došlić, Tomislav ; Majstorović, Snježana
Grad
Zagreb
Godina
2021
Raspon stranica
15-26
ISBN
978-953-8168-49-9
Ključne riječi
Golden Section, polygonal cluster, heptagon, hyperbolic tiling
Sažetak
It is well known that the Golden Section plays an important role in the geometry of several polygons and polyhedra ; the best known example is the length of a diagonal in the regular pentagon with unit side. In this contribution we show how the Golden Section appears as the solution of an enumerative problem connected with heptagons, more precisely, with heptagonal tilings of the hyperbolic plane. The results are then generalized by investigating whether it also appears in other types of hyperbolic tilings.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
