About the rugs that inspired the socks:
Senneh (sometimes spelled Senna or Sine) is a large city in eastern Iran and the capital of the province of Kurdistan. The city is now known as Sanandaj though the rugs still use the earlier name. Sennehs are among the most densely knotted of all Persian rugs.
Senneh rugs commonly feature either a herati pattern (a stylized flower surrounded by four curved leaves) or a boteh pattern (which looks rather like an angular paisley). These socks use the boteh motif repeated in a column down the leg and foot.