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Fibonacci Numbers and the Golden Ratio [PDF]
, 2016 This book consists of the lecture notes, problems and solutions from the author’s Coursera course “Fibonacci numbers and the golden ratio.” YouTube links to the course’s videos are provided at the top of each lecture.
Chasnov, Jeffrey Robert
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Measurement of the neutral axis in avian eggshells reveals which species conform to the golden ratio. [PDF]
Ann N Y Acad Sci, 2022 Narushin VG +3 more
europepmc +1 more source
Does 3-dimensional facial attractiveness relate to golden ratio, neoclassical canons, 'ideal' ratios and 'ideal' angles? [PDF]
Maxillofac Plast Reconstr Surg, 2022 Zwahlen RA, Tang ATH, Leung WK, Tan SK.
europepmc +1 more source
An Examination of the Golden Ratio in Nature and Music [PDF]
, 2015 The Golden Ratio, also known as the Golden Section, exists as a proportion of lengths. Calculated to be approximately 1.61803, the Golden Ratio is closely related to the Fibonacci numbers and other topics in mathematics such as the continued fraction. In
Etheridge, Marjorie Rose E
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Power scaling, vascular branching, and the Golden Ratio
Ideas in Ecology and Evolution, 2016 The Golden Ratio (a ratio of ~1.618:1) appears repeatedly in nature including structural and functional traits of organisms (e.g. Fibonacci spirals of snail shells and certain seed heads), the spiraled shape of galaxies and hurricanes, and even in much ...
Paul Frater, A. Bradley Duthie
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Auditory Cue Based on the Golden Ratio Can Improve Gait Patterns in People with Parkinson's Disease. [PDF]
Sensors (Basel), 2021 Belluscio V +4 more
europepmc +1 more source
COVID-19 Detection by Optimizing Deep Residual Features with Improved Clustering-Based Golden Ratio Optimizer. [PDF]
Diagnostics (Basel), 2021 Chattopadhyay S +4 more
europepmc +1 more source
A number system in golden ratio base. [PDF]
A number system is a method by which we can express numbers. A number system consists of a base and a set of digits from which we obtain numbers according to certain rules. Different choices of bases and digits yield different number systems.
Statauskaitė, Simona,
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Golden Ratio House: A Construction of Form [PDF]
, 2012 The Golden Ratio House is primarily an architectural object constructed from a cube, which is the necessary point of origin for this project. Similar to the rules of invention, its purpose lies in its own making.
Weidner, Derek Edward
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Journal of Dental Research, Dental Clinics, Dental Prospects, 2010 Background and aims. Various methods are used to measure the size and form of the teeth, including the golden proportion, and the width-to-length ratio of central teeth, referred to as the golden standard.
Fereydoun Parnia +6 more
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