Which term refers to an unbroken flow of designated markings without gaps?

The term that refers to an unbroken flow of designated markings without gaps is "sweep." In the context of the question, "sweep" typically describes a smooth, continuous motion or marking that creates a visually appealing and coherent line. This is particularly relevant in various contexts, including art, design, and even the grooming of animals.

In rabbit care, for instance, a well-defined and continuous marking can highlight specific breeding traits or the status of the animal in competitions, ensuring that the animal meets the breed standards without any interruptions in their coat pattern. The concept of a "sweep" emphasizes perfection and fluidity in appearance, which is relevant to judging standards.

The other terms do not fit this definition: "tattoo" refers to a form of identification usually inked or marked on the skin or ear of an animal, "tort" pertains to a type of color pattern in animals, particularly rabbits, and "trio" generally denotes a group of three, which doesn’t relate to the concept of markings at all.