Emily Dennett

Statement

This year I've been creating patterns using minimal superpermutations. A superpermutation on n symbols is a string that contains each of the n! permutations of the n symbols in a contiguous substring. To create this piece of art, I first created a grid in which each row and column created a minimal superpermutation on four digits. I then used a 4 by 4 square to represent each digit. A minimal superpermutation on four digits is palindromic, which creates the symmetry seen in the finished work.

Artworks

I created this piece of art using a grid where each row and column is a minimal superpermutation on four symbols. Each symbol is represented by a 4 by 4 square set of stitches. I decided to create the design out of cross stitch to highlight the x pattern that emerges in the design. The minimal superpermutation on four symbols is palindromic, which creates symmetry in the finished piece.