On the golden ratio

Leyendekkers, JV; Shannon, AG

On the golden ratio

Leyendekkers, JV Shannon, AG

Permalink

Publication Type:: Journal Article
Citation:: Advanced Studies in Contemporary Mathematics (Kyungshang), 2013, 23 (1), pp. 195 - 201
Issue Date:: 2013-01-01

Closed Access

	Filename	Description	Size
	2012006295OK.pdf		475.29 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Leyendekkers, JV	en_US
dc.contributor.author	Shannon, AG https://orcid.org/0000-0003-0116-0666	en_US
dc.date.issued	2013-01-01	en_US
dc.identifier.citation	Advanced Studies in Contemporary Mathematics (Kyungshang), 2013, 23 (1), pp. 195 - 201	en_US
dc.identifier.issn	1229-3067	en_US
dc.identifier.uri	http://hdl.handle.net/10453/28020
dc.description.abstract	The structure of the decimal expansion of the Golden Ratio is examined in decimal and modular forms through the use of various properties of the Fibonacci numbers, particularly the roots of the associated polynomial and the golden ratio. While the ratio Fn+1/Fn approaches the golden ratio it cannot have both terms even, whereas the ratio Fn+6/Fn can. The decimal string of the golden ratio is given in ratio and binomial forms and analysed with the modular ring Z4 and the sequential structure. The decimal part of the golden ratio is also related to pi.	en_US
dc.relation.ispartof	Advanced Studies in Contemporary Mathematics (Kyungshang)	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	On the golden ratio	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	23	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
utslib.copyright.status	closed_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	23	en_US

Abstract:

The structure of the decimal expansion of the Golden Ratio is examined in decimal and modular forms through the use of various properties of the Fibonacci numbers, particularly the roots of the associated polynomial and the golden ratio. While the ratio Fn+1/Fn approaches the golden ratio it cannot have both terms even, whereas the ratio Fn+6/Fn can. The decimal string of the golden ratio is given in ratio and binomial forms and analysed with the modular ring Z4 and the sequential structure. The decimal part of the golden ratio is also related to pi.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/28020