Knight's tours
Article Abstract:
Knight's tours is a classic chess problem pertaining to instances when a knight must move across the board in such a way that it visits every square only once. The question of which rectangular boards support a closed tour, or when the knight can return to its starting square, is explored.
Publication Name: Scientific American
Subject: Science and technology
ISSN: 0036-8733
Year: 1997
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Dances with dodecahedra
Article Abstract:
Karl Schaffer, co-founder of the Stern Dance Ensemble, uses mathematics in creating dances. A particular dance called 'Through the Loop in Search of the Perfect Square' is based on polyhedral string figures and is intended to show relations between geometry and symmetry.
Publication Name: Scientific American
Subject: Science and technology
ISSN: 0036-8733
Year: 1999
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Most-perfect magic squares
Article Abstract:
A discussion is presented of a formula to determine the number of most-perfect squares. Most-perfect squares are a subset of magic squares in which any two-by-two block of adjacent entries sum to identical totals.
Publication Name: Scientific American
Subject: Science and technology
ISSN: 0036-8733
Year: 1999
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