Results 261 to 270 of about 494,003 (298)

Golden proportions for the generalized Tribonacci numbers

International Journal of Mathematical Education in Science and Technology, 2009
It is known that the ratios of consecutive terms of Fibonacci and Tribonacci sequences converge to the fixed ratio. In this article, we consider the generalized form of Tribonacci numbers and derive the 'golden proportion' for the whole family of this generalized sequence.
Devbhadra V. Shah, Darshana A. Mehta
exaly   +2 more sources

THE GOLDEN RATIO AND PROPORTIONS OF BEAUTY

Plastic and Reconstructive Surgery, 2004
Dimitrios, Danikas, Georgia, Panagopoulos   +1 more
exaly   +3 more sources

Golden Proportions in Higher Dimensions

The Fibonacci Quarterly, 2011
Joseph Malkoun
exaly   +2 more sources

The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic [PDF]

Chaos, Solitons and Fractals, 2007
We consider two important generalizations of the golden ...
Alexey Stakhov
exaly   +2 more sources

Golden Proportion for Maxillofacial Surgery in Orientals

Annals of Plastic Surgery, 1989
The facial position and balance of eyes, nose, and mouth in typical Japanese individuals were investigated, based on the golden proportion for each of these relationships. We found that Japanese tend to have a longer upper lip and shorter chin length compared with Caucasians.
S, Kawakami, S, Tsukada, H, Hayashi, Y, Takada, S, Koubayashi   +4 more
openaire   +2 more sources

THE GOLDEN PROPORTION AND BEAUTY

Plastic and Reconstructive Surgery, 1964
THE GOLDEN PROPORTION AND BEAUTY M. SEGHERS;J. LONGACRE;G.
M. J. SEGHERS, J. J. LONGACRE, G. A. DESTEFANO, Longacr e   +3 more
openaire   +1 more source

Evaluation of “Golden Proportion” in Individuals with an Esthetic Smile

Journal of Esthetic and Restorative Dentistry, 2004
ABSTRACTBackground:One of the most important tasks in esthetic dentistry is creating harmonious proportions between the widths of maxillary anterior teeth when restoring or replacing these teeth. The “golden proportion” is a main guideline introduced in this field.Purpose::This study aimed to investigate the existence of the golden proportion between ...
Minoo, Mahshid, Alireza, Khoshvaghti, Masoud, Varshosaz, Naser, Vallaei   +3 more
openaire   +3 more sources

Dental esthetics and the golden proportion

The Journal of Prosthetic Dentistry, 1978
A system of esthetic predictions is described that has been used since antiquity. The naturalness of the system is emphasized by showing examples from nature and how artists and designers use it. The application of this system to dental esthetics is facilitated by the description and inclusion of a dental grid for the anterior esthetic segment.
openaire   +2 more sources

Fuzzy logic explains the golden proportion

International Journal of Intelligent Systems, 1997
It is known that aesthetically pleasing works of art, music, etc. contain a ratio Φ = (√5 - 1)/2 known as the golden proportion. There have been many attempts to understand why this ratio is pleasing; however, there is no convincing and universally accepted explanation. In this article, we provide an explanation based on fuzzy logic.
openaire   +2 more sources

Assessment of the "golden proportion" in agreeable smiles.

Quintessence international (Berlin, Germany : 1985), 2006
The aim of this study was to determine the prevalence of the "golden proportion" in individuals presenting agreeable smiles.Two hundred sixty university students aged 18 to 30 years of age (130 subjects of each gender) with maxillary incisors, canines, and premolars presenting anatomic integrity were evaluated.
Marcos Vinícius Moreita, de Castro, Nádia Carolina de Menesses, Santos, Lucilene Hernandes, Ricardo   +2 more
openaire   +1 more source