What is the most flexible woven carpet construction?

The Axminster weave is known for its flexibility and versatility, making it the most flexible woven carpet construction among the options listed. This weaving technique involves a foundation of wool or a wool blend, allowing for intricate patterns and designs while maintaining durability. The Axminster process consists of weaving the carpet in a way that interlocks the yarns, enabling them to move slightly within the construction, which contributes to the carpet's resilience and adaptability to different environments.

In contrast, while Wilton carpets also have patterned designs, they are typically stiffer due to their construction method, which is often used for more traditional styles and may not allow the same level of flexibility. Tufting, on the other hand, involves stitching yarn into a backing material, resulting in a different carpet structure that does not provide the same woven flexibility as Axminster carpets. Therefore, Axminster is the correct answer due to its unique construction that balances strength with the ability to handle various design complexities and flexible applications in interior settings.