"Golden Ratio being Irrational" | #maths #satisfying #adhd #ocd #art #ratio

Thank you all for 100K sub! I do appreciate it! Here is the extended trance version of my previous Phi short! ( 300k frames in 60 seconds) Previous Short : You can watch the slower long (15 minutes) version here : Explanation : The graph is visualized on complex plane, Here is the function : z(θ)=e^θi e^Φθi θ = Angle made by the Inner Arm e = Euler's constant i = Imaginary number The first half of the equation e^θi represents the inner arm and second half of the equation represents the outer arm. This simulation animates the angle θ from 0 to approximately 150000 degrees. The visual illustrates a setup where the outer arm is rotating golden ratio times faster than the inner arm. Since the golden ratio is an irrational number with infinite digits, the l