Gary Greenfield

This second example of a self avoiding walk by an autonomous drawbot which givies rise to a labyrinth, aside from using a different drawing color, is obtained by changing the seed to the pseudo random number generator allowing the drawbot to make different choices for curves to draw and subsequently avoid.

A point, realized as an autonomous drawbot, traces a curve parametrized by arc length by constantly adjusting its tangent angle and curvature. The drawing method was first introduced by Chappell. When it encounters itself, it strives to match its current curvature with its previous curvature. In non-degenerate cases this behavior yields labyrinths. Feathering the curve using a normal vector helps accentuate the drawbot's directional and curvature changes.