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Mathematical recreations and essays (1911)

Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan and Co., limited · leaf 203

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e doubles are played in due course, it is easy to see that such a set of dominoes will form a closed circuit*. We want to determine the number of ways in which such a line or circuit can be formed. Let us begin by considering the case of a set of 15 dominoes marked up to double-four. Of these 15… … 2 3 Figure A. and accordingly are to be neglected. Omitting these from our consideration, the figure formed by the sides and diagonals of the pentagon has five even nodes, and therefore is unicursal. Any unicursal route {ex. gr. 0-1, 1-3, 3-0, 0-2, 2-3, 3-4, 4-1, 1-2, 2-4, 4-0) gives one way of…

Geometry · Astrology · Space and time · Matter · Magic squares · Mathematical recreations

Internet Archive · University of Illinois Urbana-Champaign · Public domain (published before 1931). Free to use for anything.

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