Murthy G S S
Articles written in Resonance – Journal of Science Education
Volume 25 Issue 8 August 2020 pp 1095-1116 General Article
If a chess-knight is moved on a vacant chess-board [8 × 8 square] such that it visits each one of the 64 squares once and once only, the knight is said to execute a Knight’s Tour. Solution to the knight’s tour problem was known in India as early as the 9th century AD as a demonstration of wizardry in composing 32-syllable verses in Sanskrit. A pair of meaningful verses is composed in such a manner that when one verse is written serially (left to right and top to bottom) one syllable a square to ﬁll up 8 × 4 cells — half of a chess board – the other verse appears as the Knight’s Tour. The earliest example of this skill in poetry-composition is given in a Sanskrit treatise on poetics, kāvyālaṅkāra written by Rudraṭa who lived around the ninth century A.D. Knight’s Tour as a mathematical problem was ﬁrst noticed and discussed in the West by Leonard Euler in the eighteenth century. After providing the back ground to the subject as a puzzle on the chess-board, a problem in mathemat-ics and as a challenge in verse-composition, the article discusses the special characteristic of Rudrata’s example where the pair of verses reduces to a single verse.
Volume 27 | Issue 8