Triangular Weave

One continuous path folds into a triangular labyrinth. Soft corners and a tonal underlay give the recursive weave a tactile, carved quality.

Triangular Weave: One continuous path folds into a triangular labyrinth. Soft corners and a tonal underlay give the recursive weave a tactile, carved quality.Triangular Weave: One continuous path folds into a triangular labyrinth. Soft corners and a tonal underlay give the recursive weave a tactile, carved quality.

About this pattern

Wacław Sierpiński · arrowhead curve

Triangular Weave, fractal, drawn by GART: One continuous path folds into a triangular labyrinth. Soft corners and a tonal underlay give the recursive weave a tactile, carved quality.
Triangular Weave · CC BY 4.0

The arrowhead grammar A → B−A−B and B → A+B+A, with sixty-degree turns, creates a continuous recursive path. A broader translucent stroke forms the neutral underlay. Motion reveals the path in a repeating draw-and-recede cycle.

Behind the mathematics

Wacław Sierpiński1882–1969

Arrowhead curve

Polish mathematician who worked across set theory, number theory and topology, and whose triangle, carpet and curves became standard examples of self-similar sets.