The odd Hummer principle

The Hummer Principle was born from the mind of Bob Hummer in 1946, which consists of performing card shuffles with an even number of cards while leaving some properties of the deck intact. In this document, we will present a generalization of this principle for an odd number of cards, along with ideas for applying and adapting magic tricks that use the Hummer Principle to a more general setting. Finally, we will discuss future work in this area.