1×
path
1000
color
style
advanced
trail — how far each digit turns the pen
16°
Deeply inspired by the 'walk on a number' idea. Rigorous source: Aragón Artacho, Bailey, Borwein & Borwein, Walking on Real Numbers, Mathematical Intelligencer, 2013. We built this to learn by living inside the construction.

walk

The digits of π, walked. Each digit nudges the pen and it takes a step, and the first thousands of digits trace π’s wandering route. Trail turns gently into a flowing path; streets snaps to a right-angle grid (the classic walk on π); star fans into ten spokes. It never repeats and it never quite settles. Colour encodes the walk’s history; no digit appears as a numeral. The idea and the mathematics belong to the researchers listed in the credits. We built this toy to learn by living inside the construction.

keyboard
play / pauseSpace
scrub ±10 s · drag or scroll the canvas← →
speed up / down↑ ↓
restartR
settings panelG
site theme · light/darkT · D