What's the name of the box outside Tian Zi's pen calligraphy?

Four borders.

These four grids are called upper left grid, lower left grid, upper right grid and lower right grid.

Tian Zige includes four borders, a horizontal centerline and a vertical centerline.

Writing in primary school is a standard for beginners. When learning Chinese characters, it is necessary to gradually standardize Chinese characters in Tian Zige, so as to lay a solid foundation for future Chinese learning.