Many complex problems can be solved by repeatedly calling itself, while recursion simplifies and reduces the size of the problem by extracting this repeated logic, which greatly improves the efficiency of solving the problem. Nowadays, recursive thinking can be said to exist everywhere in our life, work and medical treatment. Our works start with simple problems, so that the audience can quickly connect the real examples with abstract problems, and then use the example of Hanoita to make the audience deeply understand the usage and essence of recursion, and further stimulate the audience's interest in recursion, the final realization of the viewer will use the idea of recursion in all aspects of life. Technically, we take videoscribe as the main body, complete the innovation and interest of the text part of the animation through the linkage of AE and PS software, use AU to process audio, and finally integrate multimedia files through Premiere. In the design concept, we hold a simple, rich, interesting, diverse, practical standard to complete the modification of the whole work.