Just like in Nature, will we be able to see it in the Tech ?
The Divine Proportion
The golden section constant has incomparably richer history dating from ancient times, from Egypt to ancient Greece. Parthenon, whose construction started in 447 BC, was designed in the golden section proportions.
Euclid (325–265 BC) gave the first recorded definition of the golden ratio: The total length (a+b) is to the length of the longer segment a as the length of a is to the length of the shorter segment b, that it was Martin Ohm (1792–1872), the German mathematician and a younger brother of famous physicist Georg Ohm. Martin Ohm was the first who introduced the term “golden section” (goldener Schnitt).
Jacques Philippe Marie Binet (1786–1856), the French mathematician, established recurrence formulae for the sequence of Fibonacci numbers.
Edouard Lucas (1842–1891), the French mathematician, gives the numerical sequence now known as the Fibonacci sequence, its present name. Also, Edouard Lucas established a special numerical sequence with initial numbers 2 and 1:
2; 1; 3; 4; 7; 11; 29; 47; 199; 521; 2,207; 3,571….
This sequence is formed by means of the identical principle as Fibonacci numbers, L(n) = L(n — 1) + L(n — 2). The limit of the ratio of consecutive Lucas numbers is equal to φ = 1,6180339…. Lucas extended the numbers to negative integers and formed a double infinite sequence with recurrent relation L(–n)(–1)nL(n). Binet’s formulae with simple transformations were also applied to Lucas numbers. In that way, the basis for the analysis of the mathematical phenomenon of the golden section aka Golden Ratio in a continuous domain was formed.
Golden Ratio In Modern Tech
The significance of the golden ratio constant has been demonstrated across a wide range of disciplines, spanning from subatomic systems, atoms, and chemistry, to genes, neurology, brain waves, plants, human body proportions, the Solar system, and even the universe. This versatile constant has inspired a variety of methods in artificial intelligence, such as Genetic Algorithms and Programming, Neural Networks, and Gravitational Search Algorithms, among others.
Golden Ratio & AI
Artificial intelligence has not achieved an analogous method for creativity yet, and simply the golden ratio won’t solve this as the creation of effective AI algorithms involves a range of techniques and approaches, including machine learning, data analysis, and software engineering. While mathematical principles like the golden ratio may be interesting to explore, they are not typically a central factor in the design or implementation of AI algorithms.
However, It is possible that the golden ratio could be used as a basis for designing certain aspects of an algorithm, such as the proportion of data used for training and testing, or the weighting of different factors in a decision-making process, But it is unlikely that the use of the golden ratio would have a significant impact on the overall effectiveness of an AI algorithm.
Balance between Machine Learning Algorithms and Human Intuition In Creating Intelligent Systems
Like the golden ratio in art and architecture, this balance leads to more elegant and effective AI solutions. Achieving the golden ratio of AI requires both technical expertise and an understanding of human needs and preferences. When AI systems are designed with the golden ratio in mind, they are more likely to provide meaningful and useful insights to users. Overall, the golden ratio of AI represents an exciting opportunity to create smarter, more human-centered technology solutions.
Conclusion
As anything is possible in the tech world so we will just have to wait and see if there will come a time where this Ratio can be potentially be used.
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