The intricate geometric patterns of Pochampally Ikat are created through a process called:

Block printing
Tie-and-dye
Embroidery
Weaving

The correct answer is: D) Weaving

Pochampally Ikat is a type of handwoven fabric from the Pochampally region of Telangana, India. It is known for its intricate geometric patterns, which are created through a process called ikat. Ikat is a resist-dyeing technique in which the threads are dyed before they are woven together. This creates a pattern that is resistant to the dye, and the resulting fabric has a unique and eye-catching appearance.

Block printing is a method of printing fabric using carved wooden blocks. The blocks are dipped in dye and then pressed onto the fabric. This creates a repetitive pattern, which can be simple or complex.

Tie-and-dye is a method of dyeing fabric in which the fabric is tied in certain areas before it is dyed. This creates a pattern of undyed areas, which can be simple or complex.

Embroidery is a method of decorating fabric by stitching it with thread. The stitches can be used to create simple or complex patterns.

In conclusion, the intricate geometric patterns of Pochampally Ikat are created through a process called ikat, which is a resist-dyeing technique in which the threads are dyed before they are woven together.