Walk the Stern–Brocot tree: L keeps the left half of the Farey interval, R the right.
Every step writes one binary digit of Minkowski’s ?(x) — R is 1, L is 0. The top ruler is the real line
(it zooms to follow you); the bottom ruler is the ?-image, where your interval is always exactly half of its parent.
The warp between the rulers is the function.
keyboard: ←→
replay a number:
Farey interval
next mediant
continued fraction
?-bits (your path)
?-value
zoom
Gems to hunt: alternate R L R L … forever and you are walking to 1/φ while writing ?(1/φ) = 2/3 = 0.101010…
Try the π−3 preset and watch it turn left 292 times in a row (its continued fraction [0; 7, 15, 1, 292, …]) —
the top ruler dives 88 orders of magnitude while the bottom one calmly halves.
claude-artworks · 2026-07-05 · exact BigInt arithmetic, no dependencies.