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mikematics

Mike Winkler Mathematics

  • Mathematics
    • 3x + 1 problem
    • arXiv preprints
    • Diophantine equations
    • Matchstick graphs
    • Matheplanet articles
    • OEIS contributions
    • Prime numbers
    • Publications
    • Tessellation
    • Wiki contributions
  • Miscellaneous
    • Acknowledgements
    • Links
  • Contact
    • Contact
    • Impressum
    • Datenschutz

Mathematics

  • 3x + 1 problem
  • arXiv preprints
  • Diophantine equations
  • Matchstick graphs
  • Matheplanet articles
  • OEIS contributions
  • Prime numbers
  • Publications
  • Tessellation
  • Wiki contributions

Miscellaneous

  • Acknowledgements
  • Links

3x + 1 problem

Articles

The Recursive Stopping Time Structure of the 3x + 1 Function (2018)

New Results on the Stopping Time Behavior of the Collatz 3x + 1 Function (2015)

On the Structure and the Behavior of Collatz 3n + 1 Sequences (2014)

Directed Collatz graphs

Special tree structure up to 341

Special tree structure up to column 6

© 2025 | Mike Winkler | April 14, 2025
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