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The Australian shuffle and two self-working card tricks

Published online by Cambridge University Press:  20 June 2025

Anita A. Gaenko ,
Michael A. Jones ,
Vaneesha Natogi ,
Alex Swanson ,
Anirudh S. Venkat  and
Khoi M. Vu
Anita A. Gaenko
Affiliation:
Ann Arbor Math Olympiad Club Ann Arbor, MI 48103 USA
Michael A. Jones
Affiliation:
Mathematical Reviews Ann Arbor, MI 48103 USA e-mail: maj@ams.org
Vaneesha Natogi
Affiliation:
Ann Arbor Math Olympiad Club Ann Arbor, MI 48103 USA
Alex Swanson
Affiliation:
Ann Arbor Math Olympiad Club Ann Arbor, MI 48103 USA
Anirudh S. Venkat
Affiliation:
Ann Arbor Math Olympiad Club Ann Arbor, MI 48103 USA
Khoi M. Vu
Affiliation:
Ann Arbor Math Olympiad Club Ann Arbor, MI 48103 USA
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Extract

Self-working card tricks have been a staple for budding magicians and entire books have been written about them, e.g. Fulves [1]. Lately selfworking card tricks have become common fodder for social media. In this note, we generalise two such card tricks (from [2] and [3]) that are based on the Australian shuffle.

Type
Articles
Information
The Mathematical Gazette , Volume 109 , Issue 575 , July 2025 , pp. 303 - 307
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Copyright
© The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association

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References

Fulves, K., Self-working card tricks: 72 foolproof card miracles for the amateur magician, Dover (1976).Google Scholar
Mind Blown Magic. Self-working card trick, accessed January 2025 https://www.youtube.com/watch?v=Tr8jxukCx9M Google Scholar
Gavin Wong magic The card trick that Elon Musk created!, accessed January 2025 https://www.youtube.com/shorts/qpxIbwXaQtk Google Scholar
Kelly, D., Australian shuffle-do it yourself magic trick!, accessed January 2025, https://www.youtube.com/watch?v=bP8mN347bnQ Google Scholar
Diaconis, P. and Fulman, J., The mathematics of shuffling cards, American Mathematical Society (2023).Google Scholar