UnboundedFigures

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The Sketch

Raw ideas, half-formed hunches, wild conjectures — all welcome here. Post your mathematical thinking before it's ready. No credentials required. ?The Sketch is a public wall for mathematical intuitions at any stage of development. No gatekeeping — post your idea before it's ready.

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A fleeting feeling — barely a thought, just a direction.A suspicion worth exploring. Something feels true but I can't say why yet.I think there's a theorem here — I just need to find the proof.Explicit call for collaboration. I want someone to formalize this with me.

Filtered by tag:#periodic-points

Tyler Samuels@tsamuels·5d ago

Looking for a Rigorist— Explicit call for collaboration

A bifurcation map that keeps drawing the golden ratio

#dynamical-systems

#periodic-points

Intuition

The logistic map's signature constant is Feigenbaum's δ, and it shows up in the rate of bifurcation. This map's signature seems to be φ — and it shows up not in the rate but in the shape the periodic points trace out. It feels like the golden ratio is hiding in the geometry rather than the dynamics.

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