Which design style does NOT utilize a geometric pattern?

The choice that indicates a design style that does not utilize a geometric pattern is the free-form style. Free-form design is characterized by its organic shapes and structures that mimic those found in nature. It emphasizes creativity and individuality rather than adhering to strict geometric patterns or symmetry. This style allows for fluidity and can incorporate various elements that do not conform to standard shapes or arrangements, making it distinct from the other design styles listed.

In contrast, geometric design is explicitly defined by the use of shapes like circles, squares, and triangles, adhering to clear patterns. Formal design often employs symmetry and structured elements, which typically involve geometric shapes and organization. Parallel design also involves lines and shapes that follow a consistent pattern. Therefore, free-form is the only style among the options that is defined by the absence of geometric patterns.