let me just draw it like this draw it right over here so this is just a regular star all the lengths are equal all the, let me draw it a little bit better than that so if I just draw a star like this right over here or sometimes this would be called a pentagram some amazing things start to happen here the ratio of this pink side to this blue length right over here, thats the golden ratio the ratio of this magenta to this pink, is the golden raito as it should, by definition now the ratio of this magenta to this orange is also the golden raito it just keeps on showing up in a ton of different ways when you look at a pentagram like this if you look at something like a pentagon a regular pentagon were all the angles are the same and all the sides are the same a regular pentagon if you take any of the diagonals of a regular pentagon so right over here, so if you take this diagonal right over here the ratio of this green side to and what I am talking about the diagonals the ones that actaully aren't one of the edges the ratio of any of the diagonals to any of the sides, is once again this golden ratio so it keeps showing up, on and on and on and we can do interesting things with the golden ratio
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