Nature's fibonacci sequence4/18/2024 ![]() ![]() And we can continue to stack boxes like this.So we will stack a square-box of dimension 5 along the length of the rectangle formed so far. The length of the rectangle formed so far is 5.So we will stack a square-box of dimension 3 along the length of the rectangle formed so far. The length of the rectangle formed so far is 3. ![]() So we will stack a square-box of dimension 2 along the length of the rectangle formed so far. The length of the rectangle formed so far is 2.So we will stack a square-box of size 1 along the length of the rectangle formed so far. The length of the rectangle formed so far is 1.We start with a square-box of dimension 1.The dimension of this new square-box should be the length of the rectangle formed so far. Move in anti-clockwise direction and stack another square-box along the length of the rectangle formed so far.First let us start with a square-box of dimension 1.The sequence can be visualized by stacking together boxes in the following way: To get a better idea of the picture, let us visualize the sequence in a pictorial format. Thus the nth number in the sequence can be mathematically represented as: The 6th number in the sequence is 8 which can be generated as the sum of 5 and 3 which are the 5th and 4th numbers in the sequence respectively. The pattern here is that each number in the sequence can be generated by adding up the previous 2 numbers. But hey, better late than never, right? So I looked this up online and this post distills how Fibonacci sequence serves as the nature's code. ![]() This was totally news to me and I was low-key bummed I did not know this earlier. She told me that the fibonacci pattern can be widely observed in nature. My sister and I were having a conversation about patterns and somehow it veered towards the Fibonacci sequence. It is a Mathematical sequence that goes like this:įibonacci sequence, was just that, a sequence to me until recently, when I learnt about all the magic it beholds. Some of us were likely introduced to "Fibonacci sequence" in early Programming/Math classes. ![]()
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