Mathematical Connections

The connection between mathematics and art may seem impossible to compare, but if we look and understand deeper, we may discover the interconnection between these two. At first glimpse, mathematics and art may appear to have nothing in common. For example, fabric textiles involve a lot of math, including basic concepts like lines, measures, angles. People who appreciate mathematics frequently seek out mathematics in art, looking for lines of perspective, patterns, and symmetry.

Pattern is a fundamental idea in both mathematics and art, according to Schattschneider (2003). Artistic patterns can be generated via mathematical patterns. In the development of art, mathematical tools have long played an important role. A coloring algorithm may frequently produce "automated art" that is as startling or visually pleasing as that created by a human hand. On the other hand, an isometry that transmits a pattern to itself is called a symmetry. Geometric transformations that leave the distance between points unaltered or invariant are known as isometries.

We will use symmetry as the basic mathematical basis for analyzing a repetitive pattern in a textile or fabric on this page.