The milk and Monge shuffles and three self-working card tricks

Well-known shuffles, such as the riffle shuffle and the standard over- hand shuffle [1], are meant to randomise the order of the cards, making it difficult to predict the appearance of specific cards in games like poker or blackjack. However, shuffles have a different purpose in self-working card tricks: they reorder the cards so that the position of the target card (the card revealed at the end of the trick) is known to the magician, but not to the observer. This Article generalises three self-working card tricks that are based on the milk and Monge shuffles and have appeared on social media.

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Publication Details

Journal
The Mathematical Gazette
Published
2025-10-15
DOI
https://doi.org/10.1017/mag.2025.10121
Primary Topic
Migration, Identity, and Health
Type
article
Field-Weighted Citation Impact
0.00
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article

The milk and Monge shuffles and three self-working card tricks

Stanley R. Huddy
The Mathematical Gazette
Migration, Identity, and Health
article

The milk and Monge shuffles and three self-working card tricks

Stanley R. Huddy
article en

Abstract

Well-known shuffles, such as the riffle shuffle and the standard over- hand shuffle [1], are meant to randomise the order of the cards, making it difficult to predict the appearance of specific cards in games like poker or blackjack. However, shuffles have a different purpose in self-working card tricks: they reorder the cards so that the position of the target card (the card revealed at the end of the trick) is known to the magician, but not to the observer. This Article generalises three self-working card tricks that are based on the milk and Monge shuffles and have appeared on social media.

The Mathematical GazetteVol. 109(576)
Fairleigh Dickinson University (US)
Openalex Percentile: Top 61%
Migration, Identity, and Health
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