Sit back and enjoy her video!
The following is quoted from Vi Hart's Youtube channel:
Historical Note: This video is based on a true story. Arthur H. Stone invented the Hexaflexagon and started a flexagon committee with his friends Tuckerman, Feynman, and Tukey (who all later became well-known in their respective fields). Tuckerman invented the Tuckerman Traverse, and Feynman invented Feynman Diagrams (not to be confused with Feynman Diagrams in physics, which is probably why flexagon diagrams are usually not called Feynman Diagrams anymore). The details of their interactions and dialogue, however, are my own invention.