torsion cycles

Torsion cycles are elements in a mathematical structure called a homology group, which captures the shape or holes within a geometric object. A torsion cycle is a special kind of cycle that, when combined with itself a certain number of times (called the order), becomes a boundary—meaning it effectively "wrinkles up" or cancels out when viewed in the larger context of the shape. Think of it like a loop that, after being wound around a certain number of times, can be shrunk down to nothing without breaking it. Torsion cycles reveal subtle symmetry and hidden properties of geometric forms.