1. Kirkman's Tetrahedron and the Fifteen Schoolgirl Problem.
- Author
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Falcone, Giovanni and Pavone, Marco
- Subjects
- *
MATHEMATICS education , *WORD problems (Mathematics) , *MATHEMATICAL analysis , *COMBINATORIAL number theory , *EXPECTATION-maximization algorithms , *FOUNDATIONS of arithmetic - Abstract
The article presents a study which describes the visual construction of Kirkman's tetrahedron and the 15 schoolgirl problem. The researchers have introduced a new combinatorial algorithm to show that the two solutions are nonisomorphic. The study indicates that the canonical duality of space has interchanged the two solutions which are precisely the two arrangements of 35 projective lines into classes of mutual skew lines.
- Published
- 2011
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