Golden Ratio
Definition: The golden ratio, often denoted by the Greek letter phi (Φ) or the mathematical symbol τ (tau), is a special mathematical constant that has been of interest to mathematicians, scientists, artists, and architects for centuries. It is an irrational number, meaning its decimal representation goes on forever without repeating, and it is approximately equal to 1.6180339887…
The below image shows how the division of consecutive Fibonacci number forms a Golden Ratio i.e,
- x-axis : F(n+1)/F(n), where F( ) represents a Fibonacci number.
- y-axis : represents the value of the fraction obtained in x-axis.
The ratio of successive Fibonacci numbers approximates the golden ratio, and this relationship becomes more accurate as you move further along the Fibonacci sequence.
Fibonacci Series
Ever wondered about the cool math behind the Fibonacci series? This simple pattern has a remarkable presence in nature, from the arrangement of leaves on plants to the spirals of seashells. We’re diving into this Fibonacci Series sequence. It’s not just math, it’s in art, nature, and more! Let’s discover the secrets of the Fibonacci series together.