Staircase Atlas

The devil’s staircase

lock to write · golden to move — a flat tread at every rational lock, and one thread that is never captured · drag to orbit · scroll to zoom · press F to freeze

click a row to toggle · overlay any combination
Devil’s staircase · locked
locked fraction · K 0.2 / 0.6 / 1.00.075 / 0.25 / 0.6217
tread 1/2 → 8/130.07392 → 0.00126
golden winding at K=10.618048
target 1/φ0.618034
nearest captor34/55 · never closes
stateclimbing · never captured
source: circlemap-snapshot.json · Arnold tongues / critical circle map · writer layer is interpretation, labeled