Loading
Fetching the latest data…
Fetching the latest data…
Goals over each module’s verified metrics. A challenge completes automatically the first time a cloud save’s server-verified scores meet it — completions are permanent achievements.
Sign in to track your progress — the games themselves need no account.
Rotates 5 Oct 2026
All Roads Home
Survey a run of integers where every single one reaches 1 (convergence 100).
Tier 1 · ~5 min
High Flyer
Include a start that climbs 60 or more — far above its own size — and still reaches 1.
Tier 2 · ~5 min
One River
Get coverage to 90 or higher with every orbit still reaching 1 — neighbours pouring into shared tails.
Tier 2 · ~15 min
Bad Neighbours
Spread 90 or higher with convergence still 100 — consecutive integers behaving nothing alike.
Tier 2 · ~15 min
Runaway
Change the rule until most starts never reach 1 (convergence 30 or lower). Knowing where 3n+1 stops being special counts.
Tier 1 · ~5 min
Same Ratio, Different Fate
Break the map (convergence 30 or lower) while the odd-step share stays in its usual 30–36 band.
Tier 3 · ~15 min