Diamond Solitaire

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dc.creatorBell, George I.
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:45:34Z
dc.date.available2026-07-07T08:45:34Z
dc.descriptionWe investigate the game of peg solitaire on different board shapes, and find those of diamond or rhombus shape have interesting properties. When one peg captures many pegs consecutively, this is called a sweep. Rhombus boards of side 6 have the property that no matter which peg is missing at the start, the game can be solved to one peg using a maximal sweep of length 16. We show how to construct a solution on a rhombus board of side 6i, where the final move is a maximal sweep of length r, where r=(9i-1)(3i-1) is a "rhombic matchstick number".
dc.description11 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0711.2749
dc.identifierhttp://arxiv.org/abs/0711.2749
dc.identifierThe Games and Puzzles Journal, Issue 41, September-October 2005 http://gpj.connectfree.co.uk/gpjw.htm
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143003
dc.subjectCombinatorics
dc.subjectDiscrete Mathematics
dc.subject00A08; 97A20
dc.titleDiamond Solitaire
dc.typetext

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