2025/10/21 by Atanu Manna, Manna, Atanu, Suvra Kanti Chakraborty +1
Materials Science · Computer Science · Engineering · #Quasicrystal Structures and Properties #Computational Geometry and Mesh Generation #Architecture and Computational Design
paper · pdf · doi:10.48550/arxiv.2510.18907
This paper extends Hridaya Kolam patterns to cases where the number of dots (m) and arms (n) are not coprime, i.e., gcd(m, n) ≠ 1. Such configurations give rise to multiple disjoint closed loops. We propose a modular-arithmetic-based algorithm to systematically generate such patterns, and illustrative patterns for various non-coprime (m, n) pairs are provided to demonstrate the resulting multi-loop structures. These multi-loop Kolam designs can inspire architectural motifs and ornamental patterns in floor plans, facades, and decorative elements.