The study mainly focuses on the use of Golden Ratio and Fibonacci sequence. connection between them can be clearly visible in nature. With help sequence scientists have solved many mysteries related to Everything that is around us somehow or other depends numbers, Ratio, Some examples are –Flower petals- Lily, Rose, Daisy, Marigold, Sunflower, Iris, Buttercups, wild rose, larkspur Trillium, Blo...

A Golden Triangle is a triangle with two of its sides in the ratio (J>:1, where is the Fibonacci Ratio, i.e., (J> = ^(1 + /J) ^ 1.618. Let AABC be a triangle whose sides are a,b, and o and let a/b = k > 1. Bicknell and Hoggatt [1] have shown that (1) a triangle with a side equal to b can be removed from AABC to leave a triangle similar to AABC if and only if k = cj), and (2) a triangle simi...

Geometric properties of finite Blaschke products have been intensively studied by many different aspects. In this paper, our aim is to study geometric related the golden ratio $\alpha =\frac{1+\sqrt{5}}{2}$. Mainly, we focus on relationships between zeros canonical lower degree and ratio. We show that notions such as "golden triangle, ellipse" rectangle" are closely geometry products.

The golden section, ϕ = (1 + √5)/2 = 1.618... and its companion ϕ = 1/ϕ = ϕ -1 = 0.618..., are irrational numbers which for centuries were believed to confer aesthetic appeal. In line with the presence of golden sectioning in natural growth patterns, recent EEG recordings show an absence of coherence between brain frequencies related by the golden ratio, suggesting the potential relevance of th...

We discuss the Waring rank of binary forms degree 4 and 5, without multiple factors, point out unexpected relations to harmonic cross-ratio, j-invariants golden ratio. These computations ranks for are used show that combinatorics a line arrangement in complex projective plane does not determine defining equation even very simple situations.