Between mathematics and magic: Josephus legend and the down-under shuffle
There are many links between mathematics and magic: on the one hand, it is usual to see how mathematical principles apply in order to create magic tricks and, on the other hand, several specific techniques in magic give rise to mathematical models providing interesting properties in recreational mat...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Universidad de Cádiz
2012-09-01
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| Series: | Revista Eureka sobre Enseñanza y Divulgación de las Ciencias |
| Subjects: | |
| Online Access: | http://hdl.handle.net/10498/14868 |
| _version_ | 1811265044617363456 |
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| author | Alegría Ezquerra, Pedro |
| author_facet | Alegría Ezquerra, Pedro |
| author_sort | Alegría Ezquerra, Pedro |
| collection | DOAJ |
| description | There are many links between mathematics and magic: on the one hand, it is usual to see how mathematical principles apply in order to create magic tricks and, on the other hand, several specific techniques in magic give rise to mathematical models providing interesting properties in recreational mathematics. In this work we show this duality relating the famous Josephus problem and its variants with specific card shuffles used in some card tricks. In order to display the educational nature of this problem, we also suggest some teaching activities to develop in a classroom. |
| first_indexed | 2024-04-12T20:15:27Z |
| format | Article |
| id | doaj.art-f6b12dde707d40a2a597dd25197150c2 |
| institution | Directory Open Access Journal |
| issn | 1697-011X |
| language | English |
| last_indexed | 2024-04-12T20:15:27Z |
| publishDate | 2012-09-01 |
| publisher | Universidad de Cádiz |
| record_format | Article |
| series | Revista Eureka sobre Enseñanza y Divulgación de las Ciencias |
| spelling | doaj.art-f6b12dde707d40a2a597dd25197150c22022-12-22T03:18:09ZengUniversidad de CádizRevista Eureka sobre Enseñanza y Divulgación de las Ciencias1697-011X2012-09-0193410421Between mathematics and magic: Josephus legend and the down-under shuffleAlegría Ezquerra, PedroThere are many links between mathematics and magic: on the one hand, it is usual to see how mathematical principles apply in order to create magic tricks and, on the other hand, several specific techniques in magic give rise to mathematical models providing interesting properties in recreational mathematics. In this work we show this duality relating the famous Josephus problem and its variants with specific card shuffles used in some card tricks. In order to display the educational nature of this problem, we also suggest some teaching activities to develop in a classroom.http://hdl.handle.net/10498/14868 Problema de JosefoMezcla australianaMezcla MongeMatemática recreativaJosephus problemDown-under shuffleMonge shuffleRecreational Mathematics |
| spellingShingle | Alegría Ezquerra, Pedro Between mathematics and magic: Josephus legend and the down-under shuffle Revista Eureka sobre Enseñanza y Divulgación de las Ciencias Problema de Josefo Mezcla australiana Mezcla Monge Matemática recreativa Josephus problem Down-under shuffle Monge shuffle Recreational Mathematics |
| title | Between mathematics and magic: Josephus legend and the down-under shuffle |
| title_full | Between mathematics and magic: Josephus legend and the down-under shuffle |
| title_fullStr | Between mathematics and magic: Josephus legend and the down-under shuffle |
| title_full_unstemmed | Between mathematics and magic: Josephus legend and the down-under shuffle |
| title_short | Between mathematics and magic: Josephus legend and the down-under shuffle |
| title_sort | between mathematics and magic josephus legend and the down under shuffle |
| topic | Problema de Josefo Mezcla australiana Mezcla Monge Matemática recreativa Josephus problem Down-under shuffle Monge shuffle Recreational Mathematics |
| url | http://hdl.handle.net/10498/14868 |
| work_keys_str_mv | AT alegriaezquerrapedro betweenmathematicsandmagicjosephuslegendandthedownundershuffle |