The odd Hummer principle

TL;DR

This paper generalizes the Hummer Principle from even to odd number of cards, expanding its theoretical framework and potential applications in magic tricks, and discusses future research directions.

Contribution

It introduces a novel generalization of the Hummer Principle for odd card numbers and explores its applications in magic and future research possibilities.

Findings

Generalization of the Hummer Principle to odd card numbers

Potential applications in magic tricks and illusions

Discussion of future research directions

Abstract

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.