We present a model of leptonic mixing based on two $A_5$ modular symmetries using the Weinberg operator. The are broken to respective diagonal subgroup. At effective level, behaves as with single flavour symmetry, but moduli. Using both stabilisers, different residual preserved, leading golden ratio that is perturbed by rotation.

The number (1 + √ 5)/2 = 1.618 … is widely known as the golden ratio, φ and phi. Phi appears in many different equations and formulas and has many interesting properties. Many people have heard marvelous tales about phi and how it permeates art and nature. My first exposure to phi was in a comic book entitled Donald in Mathmagic Land, which later became an animated cartoon seen by millions of p...

In this article, a class of convergent series based on Fibonacci sequence is introduced for which there is a golden ratio (i.e. $frac{1+sqrt 5}{2}),$ with respect to convergence analysis. A class of sequences are at first built using two consecutive numbers of Fibonacci sequence and, therefore,  new sequences have been used in order  to introduce a  new class of series. All properties of the se...