👉 In mathematics, a demigardebra (or demigarde) is an algebraic structure that represents a 2-dimensional discrete group. Demigardes are often used in geometric topology and knot theory. A demigardebra is defined as follows: 1. The group of symmetries of the unit square: A demigardebra consists of two disjoint, closed curves (denoted by $a$ and $b$) that form a circle with center at the origin,