Card Tricks and Information
History and Overview
2024-06-03 v1 Combinatorics
Abstract
Fitch Cheney's 5-card trick was introduced in 1950. In 2013, Mulcahy invented a 4-card trick in which the cards are allowed to be displayed face down. We suggest our own invention: a 3-card trick in which the cards can be face down and also allowed to be placed both vertically and horizontally. We discuss the theory behind all the tricks and estimate the maximum deck size given the number of chosen cards. We also discuss the cases of hiding several cards and the deck that has duplicates.
Cite
@article{arxiv.2405.21007,
title = {Card Tricks and Information},
author = {Aria Chen and Tyler Cummins and Rishi De Francesco and Jate Greene and Tanya Khovanova and Alexander Meng and Tanish Parida and Anirudh Pulugurtha and Anand Swaroop and Samuel Tsui},
journal= {arXiv preprint arXiv:2405.21007},
year = {2024}
}
Comments
24 pages, 13 tables