There is a wiki for everything lol!
https://en.wikirug.org/wiki/index.php?title=Persian_Carpet&mobileaction=toggle_view_desktop
Persian Carpet is distinguished by its complex and calligraphic nature, emphasizing the design and the line. A curvilinear or floral design is most closely associated with a Persian rug, although geometric designs are used as well. The major production centers can be found in Northwest Persia, Western Persia, Southwestern Persia, Central Persia, Southern Persia, and Eastern Persia. Named after the village, town or district where the piece was woven or by the weaving tribe, each Persian carpet has attributes specific to a geographic region or tribe.
Persian rugs from Tabriz is sought after for its exquisite craftsmanship. Very classical in appearance, the central medallion is the layout most frequently used. Kerman is known for its vase technique and vase design. A vase design on a Persian carpet is characterized by an ascending directional layout. Pairs of long stems emerge from elegant vases, intersecting at regular intervals, creating a sort of latticework. A Kashan Persian rug is known for a central medallion layout with arabesques, palmettos, leaves, and other plants, interspersed with small birds or animals. A Mashad Persian rug, made using the asymmetrical knot, often features a round or elongated medallion design that is embellished with pendants and floral elements. Every region brings its own unique characteristics to the art of Persian carpet weaving.
Do you know if Persian rugs are mostly restricted to the patters shown on the picture?
In Italy there was a period of national identity creation where they basically went wild with regional foods, deciding that "this dish is from this city and this dish is from that city" even when people had been eating it in both for centuries. Would be interesting if there's a similar story behind the regional rugs, or if it's a (more) genuine historic distinction behind it.