033
Modular chords
Straight lines between points on a circle, and a curve that was never drawn.
Field
Detail
Study
033
Chapter
Number theory
Equation
(m × k) mod N
What moves
m, from 2 to 6; the chord index k
Structure
Film
Colour means
m, the multiplier
Posted

240 points sit on a circle. Each point k is joined to point 2k, counting round again past 240. Only straight lines are drawn, yet a heart-shaped curve appears where the chords brush past each other. Each chord touches that curve at one computed point, and those points are marked in violet. Stacked for m = 2 to 6, the rule builds a tower of curves, one per integer.