Kolam

A line that threads a field of dots, never crossing a dot and never leaving a loose end. Drawn at dawn on doorsteps across South India, and closed by arithmetic rather than by eye.

Kolam: A line that threads a field of dots, never crossing a dot and never leaving a loose end. Drawn at dawn on doorsteps across South India, and closed by arithmetic rather than by eye.Kolam: A line that threads a field of dots, never crossing a dot and never leaving a loose end. Drawn at dawn on doorsteps across South India, and closed by arithmetic rather than by eye.

About this pattern

Sikku kolam · South Indian threshold drawing

Kolam, graph theory, drawn by GART: A line that threads a field of dots, never crossing a dot and never leaving a loose end. Drawn at dawn on doorsteps across South India, and closed by arithmetic rather than by eye.
Kolam · CC BY 4.0

The line runs diagonally between the dots and turns whenever it reaches the edge, which makes it a billiard path on a lattice. Whether it closes into one continuous loop or several depends only on the grid's proportions, the greatest common divisor of its sides, so a practised hand knows before starting how many strokes the drawing will take.

Rounding sets how far the turns are eased, from a folded ribbon to the flowing sikku line.

Behind the mathematics

Gift Siromoney1932–1988

Formal grammars for kolam

Indian mathematician who studied kolam as a formal language, describing the drawings with array grammars and putting a folk art on a footing with computation.