ERIC Number: EJ970065
Record Type: Journal
Publication Date: 2012-Mar
Pages: 5
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
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Available Date: N/A
RATWYT
Fraenkel, Aviezri S.
College Mathematics Journal, v43 n2 p161-165 Mar 2012
WYTHOFF is played on a pair of nonnegative integers, (M, N). A move either subtracts a positive integer from precisely one of M or N such that the result remains nonnegative, or subtracts the same positive integer from both M and N such that the results remain nonnegative. The first player unable to move loses. RATWYT uses rational numbers instead, transformed using a generalization of the rules of WYTHOFF. Using the Calkin-Wilf tree, we show how to play RATWYT, and any other rational take-away game.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
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