Bankei Yotaku was a Japanese Zen master who lived from 1622 to 1693. He was known for his unique and revolutionary approach to Zen teachings, which emphasized the importance of natural and spontaneous enlightenment. Bankei's teachings had a profound impact on the development of Zen Buddhism in Japan and also spread beyond its borders.

One of the key ways in which Bankei's teachings spread beyond Japan was through his disciples and students. Bankei had a large following of devoted students who were deeply influenced by his teachings. Many of these students went on to become Zen masters themselves and spread Bankei's teachings to their own students and followers. This created a ripple effect, with Bankei's teachings reaching a wider audience and gaining popularity.

In addition to his disciples, Bankei also had a strong influence on other Zen masters and schools in Japan. His teachings were seen as a refreshing and innovative approach to Zen, which challenged traditional beliefs and practices. As a result, many Zen masters and schools incorporated Bankei's teachings into their own practices, further spreading his influence.

Bankei's teachings also gained recognition and popularity outside of Japan through the translation and publication of his works. His teachings were translated into various languages, including English, and were widely read and studied by people around the world. This helped to spread Bankei's teachings to a global audience and increased his influence beyond Japan.

Furthermore, Bankei's teachings were also spread through the practice of zazen, or seated meditation. Bankei emphasized the importance of zazen as a means to achieve enlightenment and his teachings on the practice were widely adopted by Zen practitioners in Japan and abroad. As more people began to practice zazen and experience its benefits, they also became exposed to Bankei's teachings and philosophy.

In conclusion, Bankei Yotaku's teachings spread beyond Japan through the efforts of his disciples and students, the influence on other Zen masters and schools, the translation and publication of his works, and the practice of zazen. His revolutionary approach to Zen and emphasis on natural enlightenment continue to inspire and influence people around the world, making Bankei one of the most renowned and influential Zen masters in history.