Interlaced Structure – Rangoli Designs

Definition

The interlaced structure is the scaffold mode in which the drawn line winds around the dots of a grid without touching them, crossing over itself to read as a weave. It is the structural principle beneath the sikku kolam tradition, and appears wherever a single path is made to enclose a whole field of dots.

History

The documentation is older than the mathematics: Layard’s 1937 study already records the never-ending line as the form’s defining idea, names its designs — pavitram, Brahma-mudi — and notes that larger figures may be formed of a plurality of such lines.

Interlaced dot-grid figures are the most mathematically studied structure in this art: the Siromoneys generated interlaced families with array grammars, Ascher analysed their single-line logic, and Yanagisawa and Nagata connected their construction to knot diagrams and the mathematics of drawing a figure without lifting the pen.

Description

The line passes diagonally between dots, curves around each, and crosses earlier strands at clean intersections; in the strict form one unbroken loop encloses every dot and closes on itself. Larger designs may use several loops, and reducing their number toward one is part of the form’s difficulty. The result lies flat in flour yet reads as over-and-under weaving.

Cultural Context

The unbroken line carries the structure’s attributed meanings — continuity, and a protective boundary with no gap for misfortune to enter — meanings documented among practitioners rather than inherent in the geometry. The demand that the whole path be held in mind is also widely described as the form’s meditative core.

Regional Variations

Strongest in Tamil practice as sikku or chikku kolam, the interlaced mode also appears in Telugu melikala muggulu. Scholars compare it structurally — never genealogically — to other single-line arts such as sona sand drawing.

The tradition built on this structure is Sikku Kolam; its scaffold is the Dot Grid; the connecting alternative is described under Pulli Kolam.

Gallery

Vibrant 8 Into 8 Big Butterfly Kolam — from the design library.

References

Marcia Ascher, “The Kolam Tradition”, American Scientist 90(1), 2002.
Gift Siromoney, Rani Siromoney & Kamala Krithivasan, “Array grammars and kolam”, Computer Graphics and Image Processing 3(1), 1974.
Kiwamu Yanagisawa & Shojiro Nagata, “Fundamental Study on Design System of Kolam Pattern”, Forma 22, 2007.
John Layard, “Labyrinth Ritual in South India: Threshold and Tattoo Designs”, Folklore 48(2), 1937.