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The I believe that author gets the value of phi wrong: it is roughly 1.618, not 0.618.
by gautamcgoel 5y ago
The I believe that author gets the value of phi wrong: it is roughly 1.618, not 0.618.
- Bootvis 5y agoHe probably confused it with 1/phi and didn’t check his equation.
- kangalioo 5y agoTIL 1/phi=phi-1
- messe 5y agoThat's essentially the definition. φ is the solution to φ^2 - φ - 1 = 0 Which can be re-arranged, by dividing by φ to, φ - 1 - 1/φ = 0 or: 1/φ = φ - 1
- marginalia_nu 5y agoOr φ^-1=φ-1
- messe 5y agoYes, φ^-1 is another way to write 1/φ.
- marginalia_nu 5y agoYeah but the 【 aesthetics】
- klyrs 5y agoHappy phi day ^_^
- lmkg 5y agoSeveral ways of defining the Golden Ratio allow either, or both. One convention is that upper-case Phi or Φ is 1.618[...], while lower-case phi or φ is 0.618[...]. The values are related by φ = 1/Φ, as well as Φ = φ + 1. Both of these relations can be derived from the fact that they are the ratios of a Golden Rectangle--if a square has length one, then adding a rectangle with height φ to the side will give a rectangle of length Φ, and the rectangles are Similar.
- Ambroisie 5y agoIt's its brothe (more accurately its inverse), usually written Phi with a bar on top. They both respect the golden ratio.