The correct answer is option 2: ShihHuang-ti. The Great Wall of China was built by the first emperor of China, ShihHuang-ti, during the Qin Dynasty.

Option 1: Li-tai-pu is not the correct answer. Li-tai-pu was a famous poet of the Tang Dynasty and was not involved in the construction of the Great Wall.

Option 3: Lao-tze is also not the correct answer. Lao-tze was an ancient Chinese philosopher and the founder of Taoism. He lived during the time of the Zhou Dynasty, which was before the construction of the Great Wall.

Option 4: Confucius is not the correct answer either. Confucius was a philosopher and teacher who lived during the Spring and Autumn Period of ancient China. He did not have any involvement in the construction of the Great Wall.

Therefore, the correct answer is option 2: ShihHuang-ti.