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Croatian Research Information System
Part of book or chapter of book . 2021
https://doi.org/10.5592/co/ccd...
Article . 2021 . Peer-reviewed
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The Golden Section's heptagonal connections

Authors: Došlić, Tomislav;

The Golden Section's heptagonal connections

Abstract

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.

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Keywords

heptagon, Golden Section, polygonal cluster, hyperbolic tiling

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze