![]() Notice the sequence of Fibonacci numbers 1, 2, 3, 5, 8, 13 appears here. One way to solve the problem is to work sequenciallyįirst Step: - only one way - 1s1 N1 = 1 How many differnt ways can you climb the steps? You can either climb one step at a time (s1) or two steps at a time (s2). Puzzle 1: Climbing Steps: The puzzle may be stated as follows: (Click on a slide to see full page image. Phi is an amazing number with some unique mathemat ical properties and this is what we shall be looking at in this blog - the aim is to give some examples invoving Phi and FN that have a wow factor - that is what recreational maths is all about.įirst, we define the golden ratio and Fibonacci Numbers: The golden ratio is denoted by the greek letter capital Phi ɸ and its inverse by lower case phi φ. Many attempts have been made to bring order to the situation regarding hypes and myths about Phi and FN. It is stated that ' The Golden Section, or Phi, found throughout nature, also applies in undertanding the relationship of God to Creation'. ![]() But note that the symbol ɸ was adopted only recently for the golden ratio!). Indeed, there is a lot of hype about Phi and FN - the golden ratio, also known as the golden section or golden mean, is claimed even to connect humans to God!! (It is claimed that in ɸ, He has crossed nothingness (0) by unity (1) to obtain the symbol for the golden ratio. Watch a pleasant 2.5 minute presentation on the Golden Ratio here but do not believe everything that is said in the video. Whether we are attracted to them by the mystic of mathematics or the aesthetics they produce is uncertain.'. In our human world, we might see them where they don't exist, but where they do, we find them pleasing. ' In nature, Golden Ratio (Phi) and Fibonacci Numbers (FN) are common, probably reflecting the practicalities of life.
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