One of my favorite places to visit in New York is the Metropolitan Museum of Art. In 2011, the museum finished an 8 year renovation to their collection of Islamic Art called "Art of the Arab Lands, Turkey, Iran, Central Asia and Later South Asia".
The decorative arts are a treasure trove of inspiration for pattern design and craftsmanship. There rooms of rare and amazing hand knotted rugs. Also worth noting, incredible ceramics, metal work, plaster work and miniature paintings.
Check it out next time you are in the city!