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mikematics

Mike Winkler Mathematics

  • Mathematics
    • 3x + 1 problem
    • Aperiodic tilings
    • arXiv preprints
    • Diophantine equations
    • Graph theory
    • Matheplanet articles
    • OEIS contributions
    • Prime numbers
    • Publications
    • Wiki contributions
  • Miscellaneous
    • Acknowledgements
    • Links
    • Web design
    • Piano lessons
  • Contact
    • Contact
    • Impressum
    • Datenschutz

Mathematics

  • 3x + 1 problem
  • Aperiodic tilings
  • arXiv preprints
  • Diophantine equations
  • Graph theory
  • Matheplanet articles
  • OEIS contributions
  • Prime numbers
  • Publications
  • Wiki contributions

Miscellaneous

  • Acknowledgements
  • Links
  • Web design
  • Piano lessons

3x + 1 problem

Articles

The Recursive Stopping Time Structure of the 3x + 1 function (2017), latest update link

New results on the stopping time behaviour of the Collatz 3x + 1 function (2015)

The Role of the Fibonacci Sequence in the Collatz 3n + 1 Function (2014)

On the structure and the behaviour of Collatz 3n + 1 sequences (2014)

Directed Collatz graphs

Special tree structure up to 341

Special tree structure up to column 6

© 2021 | Mike Winkler | March 1, 2021
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