I am interested in exploring the connection between mathematics and art through various mediums. I use patchwork, ceramics, and other techniques to illustrate a wide range of mathematical concepts, including fractals, symmetry and anti-symmetry groups, and Voronoi diagrams. The present works present novel visual representations of rational numbers using string art designs. Decimal representations of rational numbers are either finite or infinitely repeating. By dividing a circle into 10 equal parts, numbered from zero to nine, decimals can be visualized as paths defined by the sequence of digits.
Artworks
Weaving Infinity I
30.0 x 40.0 cm
Embroidered canvas, acrylic on paper, glue
2023
Weaving Infinity I features 20 circular string art designs, arranged in a 4×5 grid, each depicting the paths of all decimal expansions corresponding to irreducible fractions with the same denominator. The 20 denominators explored are all natural numbers coprime with 10, up to 51. This ensures that all decimal expansions are purely repeating, forming closed paths. Most of these paths take the shape of polygons (either simple or self-intersecting), while some degenerate into points or line segments. Unexpectedly, a striking reflection symmetry emerges in each design. The paths were stitched onto canvas using soft-colored cotton threads. Paths that reduce to isolated points were marked with small circles of colored paper glued onto the canvas.
Weaving Infinity II
30.0 x 40.0 cm
Embroidered canvas, acrylic on paper, glue
2023
Weaving Infinity II features 20 circular string art designs, arranged in a 4×5 grid, each depicting the paths of all decimal expansions corresponding to fractions with the same denominator, ranging from 1 to 20. While many of these expansions are finite, every finite decimal has two repeating equivalents—for example 0.5 = 0.500000… = 0.499999…. Here, I exclusively represent infinitely repeating expansions, inducing reflection symmetry in all designs. The paths were stitched onto canvas using shades of blue and red cotton threads. Blue paths correspond to intrinsically repeating digits, while red paths represent non-repeating digits. Paths that reduce to isolated points were marked with small circles of colored paper glued onto the canvas.
