One of the most famous Iranian carpets is the one displayed as the centerpiece in the Iran Carpet Museum in Tehran. This particular carpet, which is believed to be over 450 years old, is a masterpiece of Persian carpet weaving. It is made of silk and showcases intricate designs and vibrant colors that have remained intact over the centuries.

However, it's worth noting that the fame of Iranian carpets often extends beyond individual pieces to the entire tradition of Persian carpet weaving. Iranian carpets are renowned worldwide for their exceptional craftsmanship, intricate designs, and use of natural dyes. Many Iranian carpets, particularly those from regions such as Isfahan, Tabriz, Kashan, and Kerman, are highly valued and sought after by collectors and art lovers.

In addition to the carpet in the Iran Carpet Museum, other notable Iranian carpets include those that have been featured in famous museums and art galleries around the world. These carpets often represent the pinnacle of Persian carpet weaving and serve as a testament to the incredible skill and artistry of Iranian artisans.

While it's difficult to pinpoint a single most famous Iranian carpet, the entire tradition of Persian carpet weaving is celebrated worldwide for its beauty, craftsmanship, and cultural significance.