What fabric is woven to create a smooth, lustrous face and a dull back?

Satin is a fabric that is specifically woven to create a smooth, lustrous face while maintaining a dull back. This unique characteristic is a result of the weaving technique used, which typically involves a greater number of floating threads on the surface. This gives satin its shiny appearance, making it a popular choice for a variety of applications, including formalwear and elegant furnishings.

In contrast, the other fabrics mentioned have different properties. Organza is a lightweight, sheer fabric that does not possess the same luster or smoothness as satin. Silk is a natural fiber known for its luxurious feel but does not necessarily have the same dual-textured qualities due to its fabric construction, which can vary significantly. Chiffon is another lightweight material that has a more delicate and slightly rough texture, again lacking the distinctive smooth face and dull back combination of satin. Therefore, the unique weaving of satin is what sets it apart and makes it the correct answer for this question.