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Tyler Samuels
@tsamuels
22d ago
The same golden ratio keeps coming back at each period doubling
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Tyler Samuels
@tsamuels
22d ago
The one place the golden map gives you φ exactly is its fixed point
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Tyler Samuels
@tsamuels
22d ago
In the golden map, the 2-cycle line length runs straight to 1 + φ
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Tyler Samuels
@tsamuels
22d ago
Each of those numbers spawns a whole ladder by multiplying by 2
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Tyler Samuels
@tsamuels
22d ago
A family of Collatz starting numbers you can fully solve: 1, 5, 21, 85, 341
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Tyler Samuels
@tsamuels
Jul 25
Plotting Collatz orbits as points draws triangles whose sides give φ
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Tyler Samuels
@tsamuels
Jul 25
A bifurcation map that keeps drawing the golden ratio
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