Another cool facts: Diagonal of a square bisects its angle (trivial). In a pentagon you can trisect its apex angle with two diagonals.pic.twitter.com/G5panqHeIL
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Another cool facts: Diagonal of a square bisects its angle (trivial). In a pentagon you can trisect its apex angle with two diagonals.pic.twitter.com/G5panqHeIL
I also find it fascinating that frac(1/Phi) = frac(Phi) in decimal representation. (Phi^2 - Phi - 1 = 0, abs(frac(Phi1)) = abs(frac(Phi2)) )
I came up with this “all 5s” expression of the golden mean, phi. (No doubt others have too, but haven’t found any evidence.)pic.twitter.com/umbIb8Dnl6
Love that!
Is the diagonal of a regular polygon irrational? I guess, yes.
No, hexagon has main diagonal equal to 2.
this just proves we live in the simulated reality ... i.e. those numbers, including golden ratio, are just too perfect :)
You're being irrational.
This is great, and really ups my interest in pentagons. I wonder why a pentagon and not some other shape, has the most irrational number as a diagonal length?
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