A beautiful equation relating the Golden Ratio phi to pi, e and i !

 


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A diagram to explain why Golden Rectangle appears balanced to human eyes!

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Merchandise:  https://www.teepublic.com/t-shirt/50015094-golden-rectangle The image formed in each human eye is a circular patch, much like a pinhole camera image. The 2  circular mages from both eyes overlay to form a combined circular image that has a circular region that is more focused, and then less focused towards the outer part of the circle. Human eyes are aligned horizontal like other bipedal animals. This is either due to intrinsic body symmetry, or it allows us to scan movements and positions of preys and predators more easily. Because of horizontal eyes alignment, and left-right eyeballs movement, the less focused regions tends to form a horizontal shape rather than vertical. Finally, the golden rectangle appears balanced because the center circle which is the focused area, has the exactly same total area of the non-circle area  which is the unfocused area.
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About this Blog

 This blog contains new findings that I have on the Golden Ratio (phi). In the world of numbers, an enchanting sequence unfolds—one that has captivated mathematicians, nature enthusiasts, and artists for centuries. This sequence, known as the Fibonacci sequence, is a series of numbers where each term is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, and so on.     Named after the Italian mathematician Leonardo of Pisa, who was known as Fibonacci, this sequence emerges from a simple yet profound recursive pattern. Fibonacci introduced it to the Western world in his book "Liber Abaci," where he described its application to problems of growth and reproduction in rabbits.     The sequence's charm extends beyond its numerical progression. As you divide consecutive terms, you find that the ratios converge toward a constant value, approximately 1.61803398875. This value, known as the golden ratio φ (phi), has earned its place in art, architecture, and nature....
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