kilim: a flat woven rug of middle eastern origin (Turkey and Iran)
kiln-dry: the process of slow-drying lumber in a kiln to prevent warping, cracking and checking.
klismos: ancient Greek chair style with splayed saber legs, and a curved, shoulder-height back. Depicted on ancient Greek pottery, the form was revived in Directoire, Empire and Regency styles.
knife edge pillow: a pillow or cushion constructed of two pieces of fabric sewn flatly together at the perimeter. A decorative cord may be included in the seam. Batting is inserted between the pieces of fabric.