This is a wooden reproduction of the 8th/9th Century Arabic chess set. "These were based on the severe reduction of earlier Persian representational models down to an abstracted synthesis of form and shape. The sensual line and suppleness of form create a sophistication of design unequaled until the Staunton style was introduced in the 19th Century. Other known sets of this type,such as the 10th Century Ubar set found in Oman, or the one discovered in an 11th-Century shipwreck off the coast of Turkey, testify to the universality of this style throughout the Islamic world." Source:The Art of Chess, Colleen Schafroth
Here's a picture of the opposing pieces:
Although this is a modern set made in India the original pattern would remain in use until at least the 13th Century.
This picture shows how they look on our camel bone and horn chessboard:
King height is 1 1/2", base diameter is 1 3/8" with felt pads.