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Golden Ratio Flap Designed Using the Golden Ratio Rectangle [PDF]
Plastic and Reconstructive Surgery, Global OpenBackground:. Rotation flaps are arcuate repairs that redistribute tension vectors and recruit adjacent and/or distant tissue laxity. The incision curve could be a logarithmic spiral curve to reduce the length of an incision.
Akio Sakamoto, MD, PhD +3 more
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The golden ratio—dispelling the myth [PDF]
Maxillofacial Plastic and Reconstructive SurgeryBackground The purpose of this article is to explore the claims often cited in scientific journals regarding the golden ratio, and its proposed link to beauty and idealized forms in nature, including idealized human proportions.
Farhad B. Naini
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The golden ratio in baseball: the influence of historical eras on winning percentages in major league baseball [PDF]
Frontiers in Sports and Active Living, 2023 IntroductionThe golden section or golden ratio (61.8% or 0.618) is a mathematical phenomenon that appears in art, literature, music and nature with such ubiquity that it is thought to be a fundamental principle of aesthetic organisation. The golden ratio
John Cairney +7 more
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JOURNAL OF ADVANCES IN MATHEMATICS, 2021 This paper introduces the unique geometric features of 1:2: right triangle, which is observed to be the quintessential form of Golden Ratio (φ). The 1:2: triangle, with all its peculiar geometric attributes described herein, turns out to be the real ‘Golden Ratio Triangle’ in every sense of the term.
Rajput, Dr. Chetansing
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Golden ratio in venation patterns of dragonfly wings [PDF]
Scientific Reports, 2023 The vein pattern in insect wings allows this lightweight structure to carry multiple biological functions. Here, an investigation of the angular distribution of the vein struts in dragonfly wings revealed that the golden angle or golden ratio dominates ...
Keene Lu +3 more
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Golden ratio-based capital structure as a tool for boosting firm's financial performance and market acceptance [PDF]
Heliyon, 2022 In the 20th century, the golden ratio has been discovered by modern science, including economics, business, and finance. In the field of finance, the ratio is mostly applied for technical analysis, and much less attention is given to its use in solving ...
József Ulbert +2 more
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Is the golden ratio a universal constant for self-replication? [PDF]
PLoS ONE, 2018 The golden ratio, ϕ = 1.61803…, has often been found in connection with biological phenomena, ranging from spirals in sunflowers to gene frequency. One example where the golden ratio often arises is in self-replication, having its mathematical origins in
Yu Liu, David J T Sumpter
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Discovering golden ratio in the world’s first five-agent network in ancient China [PDF]
Scientific Reports, 2023 The world’s first five-agent network, also called Wuxing network in ancient China, had been fully established in the second century BC. Surprisingly, the key to cracking the operation of Wuxing network is the golden ratio, the world’s most astonishing ...
Ciann-Dong Yang
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Golden Ratio and a Ramanujan-Type Integral [PDF]
Axioms, 2013 In this paper, we give a pedagogical introduction to several beautiful formulas discovered by Ramanujan. Using these results, we evaluate a Ramanujan-type integral formula. The result can be expressed in terms of the Golden Ratio.
Hei-Chi Chan
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Schumann-anchored golden ratio organization of human neural oscillations [PDF]
Frontiers in Computational NeuroscienceIntroductionHuman neural oscillations are organized according to golden ratio (φ = 1.618) mathematics: frequencies follow f(n)=f0×φn where f0≈7.6 Hz.
Michael Lacy
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