What's the noun for pleats? Here's the word you're looking for.
pleat
(sewing) A fold in the fabric of a garment, usually a skirt, as a part of the design of the garment, with the purpose of adding controlled fullness and freedom of movement, or taking up excess fabric. There are many types of pleats, differing in their construction and appearance.
(botany) A fold in an organ, usually a longitudinal fold in a long leaf such as that of palmetto, lending it stiffness.
“The difficulty of adapting counterchange designs for patterns that were designed for pleater smocking is that your ratio of fabric to pleats is reduced.”
“Now Mallarme, maker of many pleats, folded much into himself, being a great gatherer, a pleater together or multi-plier.”
“At Filtration 2013 A2Z will be showcasing its most popular Intelligent Blade Pleater.”
pleating
An action or arrangement in which something is pleated.
“Supported by an international distributor network, our range of 24-Row and 32-Row pleaters is accepted as the most versatile and reliable range worldwide.”