It will do your head in … but it is mesmerising. We have all - TopicsExpress



          

It will do your head in … but it is mesmerising. We have all heard of Fibonaccii’s Sequence right? It’s the mathematical sequence that manifests naturally in objects like sunflowers and pinecones. A bright spark, John Edmark, has created a series of 3D printed sculptures with appendages that match the sequence, when spun at the right frequency under a strobe light magic occurs. The rotation speed is set to match with the strobe flashes such that every time the sculpture rotates 137.5º, there is one corresponding flash from the strobe light. These masterful illusions are the result of a marriage between art and mathematics. And here is where we lose you unless you are a geek. Fibonacci’s Sequence is defined as a recurrent relationship that can be expressed as: F_n = F_{n-1} + F_{n-2} where the first two digits of the sequence can be defined as F_1=1, and F_2=1. What this means is that the sequence starts with two 1′s, and each following digit is determined by adding together the previous two. Therefore, Fibonacci’s Sequence begins: {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…} etc. I was lost at ‘F’. Mary https://youtube/watch?v=5Pnr21VP_-k
Posted on: Mon, 19 Jan 2015 00:41:38 +0000

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