Aria Chen, Tyler Cummins, Rishi De Francesco, Jate Greene, Tanya Khovanova, Alexander Meng, Tanish Parida, Anirudh Pulugurtha, Anand Swaroop, Samuel Tsui
{"title":"牌技和信息","authors":"Aria Chen, Tyler Cummins, Rishi De Francesco, Jate Greene, Tanya Khovanova, Alexander Meng, Tanish Parida, Anirudh Pulugurtha, Anand Swaroop, Samuel Tsui","doi":"arxiv-2405.21007","DOIUrl":null,"url":null,"abstract":"Fitch Cheney's 5-card trick was introduced in 1950. In 2013, Mulcahy invented\na 4-card trick in which the cards are allowed to be displayed face down. We\nsuggest our own invention: a 3-card trick in which the cards can be face down\nand also allowed to be placed both vertically and horizontally. We discuss the\ntheory behind all the tricks and estimate the maximum deck size given the\nnumber of chosen cards. We also discuss the cases of hiding several cards and\nthe deck that has duplicates.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Card Tricks and Information\",\"authors\":\"Aria Chen, Tyler Cummins, Rishi De Francesco, Jate Greene, Tanya Khovanova, Alexander Meng, Tanish Parida, Anirudh Pulugurtha, Anand Swaroop, Samuel Tsui\",\"doi\":\"arxiv-2405.21007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fitch Cheney's 5-card trick was introduced in 1950. In 2013, Mulcahy invented\\na 4-card trick in which the cards are allowed to be displayed face down. We\\nsuggest our own invention: a 3-card trick in which the cards can be face down\\nand also allowed to be placed both vertically and horizontally. We discuss the\\ntheory behind all the tricks and estimate the maximum deck size given the\\nnumber of chosen cards. We also discuss the cases of hiding several cards and\\nthe deck that has duplicates.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"27 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2405.21007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.21007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.
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