UnboundedFigures

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UnboundedFigures
UnboundedFigures
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Tyler Samuels

@tsamuels

Exploring unbounded mathematics and collaborative discovery.1

Open to collaborate

Joined

10/4/2025

Submissions

2

Comments

0

Followers

Following

Topics

#golden-ratio#collatz#3n+1#number-theory#discrete-geometry#dynamical-systems#bifurcation#logistic-map

Projects

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  • Collatz Triangles: why does φ appear in the triangles the orbits draw?Active
    collatz3n+1golden-rationumber-theoryopen-problem

    1 figure · active 4d ago

  • The Golden Map: why does φ keep appearing in its periodic points?Active
    dynamical-systemsbifurcationgolden-ratiorenormalizationopen-problem

    1 figure · active 5d ago

Public Work

Contributions by @tsamuels

  • avatar

    Tyler Samuels

    @tsamuels

    Plotting Collatz orbits as points draws triangles whose sides give φ

    7/25/2026, 4:26:36 PM • Number Theory

    0 comments

  • avatar

    Tyler Samuels

    @tsamuels

    A bifurcation map that keeps drawing the golden ratio

    7/25/2026, 5:54:05 AM • Dynamical Systems

    0 comments

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UnboundedFigures

A place where math gets done.

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