G GERO RESEARCH

AN OPEN MATHEMATICAL PROBLEM

Collatz.
One problem. Two ways in.

Simple rules. An unfinished story. Explore the arguments, meet the contributors, and see the steps that remain open.

Коллатц: обе карты исследования, объяснение и материалы — в одном месте.

Choose your view

Two doors into the research
3D atlas colorsTaoOur project recordsOther authorsOpen steps

Colors identify contributors. The geometry illustrates relationships.

INGENIUM · 3 MIN 27 SEC

Take the narrated tour.

Why this simple problem is so difficult, what Tao contributed, and where our research stands. English narration with English and Russian captions.

WHERE WE STAND

A map of research in progress.

The full Collatz conjecture remains unproved. These are dated research snapshots containing established literature, project records, and explicitly open steps. Internal checks are not independent peer review.

Our next task is to close the remaining argument for every positive starting number. A reliable completion percentage or finish date is not known.