Niche Of Expressions

Hey buddies! Here we go again. Quick recap, Fibonacci sequence: 1,1,2,3,5,8,13,21,34,......... In case you missed the previous blog on the said topic, kindly visit- https://nicheofexpressions.blogspot.com/2022/02/the-part-of-maths-that-i-like.html Now, let's make squares with sides the length of Fibonacci numbers and arrange them together, so that they form a rectangle. Now when you join the two opposite edges of squares you get a curve: The Fibonacci Spiral.  It looks familiar, right?  Think, isn't the shape of the universe the same spiral? *Uncurling Fern-  *The shell of a snail  *Flower *Your very own fingerprint   Tell me other examples too in the comments ;)

Maths and interesting don’t actually go hand in hand for most people, right? Yes, buddy even I hate integration, derivatives, trigonometry and whatnot. But there is this topic that I came across, which caught my interest and is indeed fascinating.  0,1,1,2,3,5,8,13, 21,34,……   These are random numbers? More like numbers with a pattern to them. A sequence. FIBONACCI SEQUENCE. This sequence consists of numbers that are the addition of the previous two numbers. This pattern goes on until it reaches infinity (like our Maths Teacher used to say). Mathematically speaking, the equation of this whole sequence will be,        X n =  X n-1 + X n-2   where X n is the n th number. n = 1,2,3,4,……….   Numbers in this sequence, are also known as Fibonacci numbers. These numbers were first described in Indian mathematics in 200 BC. ( Amazing, right?). Later on the Italian mathematician, Leonardo of Pisa wrote about it in his boo...