Final answer:
The Ta-p'en-k'eng culture was known for exceptional Longshan black pottery, made with a quick speed potter's wheel and updraft kilns, and for their thin, polished goblets.
Step-by-step explanation:
The pottery produced by the Ta-p'en-k'eng culture, also known as the Longshan culture, was characterized by exceptional quality and technological advancement for the Neolithic period. They utilized a quick speed potter's wheel, allowing them to create pottery in various sizes and shapes efficiently. This technology, coupled with the use of updraft kilns, enabled the mass production of their distinctive Longshan black pottery. Moreover, the culture is well-known for their eggshell-thin goblets—polished and shaped with a high-speed wheel—demonstrating advanced ceramic techniques uncommon in Neolithic cultures.