General Mathematics

    

Studies in Figured Tours of Knight in Two and Higher Dimensions

Authors: Awani Kumar

Tour of knight is over a millennium year old puzzle but ‘Figured tour’ of knight is a recent field of research. T. R. Dawson, an English chess problemist and the father of Fairy Chess, coined the term in 1940s. The name figured tour is appropriate for any numbered tour in which certain arithmetically related numbers are arranged in a geometrical pattern. Figured tours have been only looked into two-dimensional boards, mostly on 8x8 board. The author has constructed knight tour with square numbers in fiveleaper {3, 4} + {0, 5} path and various other figured tours on 6x6 board and extended it in three and four dimensional space. Construction of figured tours is a mathematical recreation and can also be used in pedagogy of higher mathematics.

Comments: 28 Pages.

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[v1] 2020-04-17 13:21:04

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