Following is a dictionary entry:

paisˇley adj. 1. Made of a soft wool
fabric with a colorful, woven or printed and
swirled pattern of abstract, curved shapes.

What abstract or curved shapes do you have in mind?

I would check the site of Wolfram Research:
https://www.wolfram.com.

There was a fellow who made it his business to draw textile patterns.

The story is told by I. Peterson. Check his column archives at
https://www.maa.org|https://www.maa.org> (Click on Columns).

Regards,
Alexander Bogomolny