Why did the Indian Buddha statues in the 2nd ~ 3rd century AD have Greek artistic style?

1. The political and economic influence of Greek culture on the Indus Valley during the period of Alexander Empire.

Alexander the Great, the Macedonian king of the Greek Peninsula, founded the Alexander Empire that conquered Asia, Africa and Europe more than 3 BC, but died on the way back to the division after occupying the Indus valley more than 1 years later, and the empire fell apart, among which the Setiugu Empire was established in Asia until the first century BC. During Alexander's lifetime and after his death, the influence of Greek culture spread to India and Central Asia. There are many Hellenistic countries in North India, and there are extensive economic and cultural exchanges with Central Asia, Greece and other Eurasian regions.

2. The Guishuang Dynasty spread Buddhism.

Ganisega believes in Buddhism. Buddhism in Guishuang Empire spread rapidly, and Kujula Kadphises and Garnishega were all sponsors of Buddhism. Garnishiga believes in Mahayana Sect, and since then Mahayana has dominated Indian Buddhism. During the Han and Three Kingdoms periods, more than half of the foreign monks came from Guishuang territory, and he built magnificent temples and pagodas in the capital. Faxian, a monk from the Eastern Jin Dynasty, visited India and saw these magnificent buildings with his own eyes. He said with a sigh, "There is no such thing as grandeur and majesty when you see the pagoda temple." During the period of Kaneshega, it is said that the fourth collection of Buddhist scriptures was held in Kashmiro (also translated as Kebin or Shiva, namely Kashmir). Threatened venerable person summoned 5 eminent monks, with the world friends as the first. After this collection, the classics, laws and treatises of Sanzang each became 1, praises, with 9.6 million words. When Buddhism in East India was not so prosperous, Fulousha in Northwest India became the center of Buddhism.