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Cups and downs
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Stewart, Ian (2012) Cups and downs. College Mathematics Journal, Vol.43 (No.1). pp. 15-19. doi:10.4169/college.math.j.43.1.015 ISSN 0746-8342.
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Official URL: http://dx.doi.org/10.4169/college.math.j.43.1.015
Abstract
Martin Gardner wrote about a coin-flipping trick, performed by a blindfolded magician. The paper analyses this trick, and compares it with a similar trick using three cups flipped in pairs. Several different methods of analysis are discussed, including a graphical analysis of the state space and a representation in terms of a matrix. These methods can also solve a more general problem about inverting n cups m at a time, whose answer is surprisingly complicated.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | College Mathematics Journal | ||||
Publisher: | Mathematical Association of America | ||||
ISSN: | 0746-8342 | ||||
Official Date: | January 2012 | ||||
Dates: |
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Volume: | Vol.43 | ||||
Number: | No.1 | ||||
Page Range: | pp. 15-19 | ||||
DOI: | 10.4169/college.math.j.43.1.015 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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