Twisting describes the deformation of an object under an applied torque, resulting in a rotational force that causes a change in angular displacement. This deformation may occur within a solid material, such as a metal rod or a spring, or in a fluid, such as a liquid or gas. The mechanical properties of the material, including its shear modulus and yield strength, influence how it responds to twisting, while mathematical concepts like vector cross products and curl operators help quantify the rotational forces involved.