Forma, Vol. 30 (No. 1), pp. 9-18, 2015

Art Column

How Many Loops Kolam Loop Pattern Consists of

Shojiro Nagata

InterVision Institute, Hannya-an, Katase-5-4-24, Fujisawa, Kanagawa 251-0032, Japan
E-mail address:

(Received October 25, 2014; Accepted February 24, 2015)

Abstract. Kolam is a traditional loop pattern, in which a line goes around some dots in an array. In this paper, we reported on our study of the construction of Kolam, describing how many loops a drawn Kolam has. Considering Kolam as a knot-link pattern and a navigating line (N-line) of Kolam as a planar graph of the knot-link, we analyze the loop number as the component number using the Tutte polynomial and the invariant of it. In Appendix A, the author introduced also two matrix processes from the Kolam pattern as a Medial graph to obtain a loop number.

Keywords: Kolam, N-line, Loop Number, Tutte Polynomial, Medial Graph

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