DescriptionThis project will be led by David Cushing. There are many card tricks based on deep mathematical principles from a variety of areas. For example de Bruijn sequences have attracted a lot of research with applications to coding theory and the 'rotating drum problem'. Another example is the Gilbreath principle which describes which structures of a deck are preserved under certain shuffles. The study of shuffling in general has been studied in many research papers, see particularly the work of Diaconis and Graham, and uses many ideas from group theory and number theory. These example, and more, are discussed in the book `Magical Mathematics' by P. Diaconis and R. Graham. This book is a great gateway into the world of applying deep mathematics to produce very foolworthy card tricks. However it is just a small selection of possible directions this project could take as there are many examples of mathematics being used in this way.ResourcesSome recommended references on this topic are
email: D Cushing |