August Ferdinand Möbius1790–1868
The one-sided band, 1858
German mathematician and astronomer who in 1858 described the one-sided band with a half twist, found the same year by Johann Listing.
Möbius Ribbons
Parallel strands trace a band with a half twist. One continuous surface turns inside out as you orbit its woven form.
About this shape
August Möbius and Johann Listing, 1858 · ruled surface
An original parametric line study. Density controls the number of traces, form changes their geometry, and turn and tilt choose the projection. Motion follows a closed twenty-four-second cycle; the selected frame is preserved in saved drawings and exports.
Behind the mathematics
Johann Benedict Listing1808–1882
Found it the same year
German mathematician who coined the word topology and found the one-sided strip independently of Möbius.