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Dissections into Equilateral Triangles

  • W. T. Tutte

Abstract

I am delighted to have the opportunity to contribute to this Collection honouring Martin Gardner. I once wrote a paper for his column in Scientific American, about dissections of rectangles into squares [7]. Perhaps another article on dissections would be appropriate here.

Keywords

Equilateral Triangle Negative Pole Positive Pole Electrical Network Horizontal Segment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Berman, K. A. 1978. Spanning trees, arborescences and 4-valent graphs. Thesis. Waterloo.Google Scholar
  2. 2.
    Brooks, R. L.; Smith, B. A. B.; Stone, A. H. and Tutte, W. T. 1940. The dissection of rectangles into squares. Duke Math., 7: 312–340.CrossRefGoogle Scholar
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    Brooks, R. L. 1975. Leaky electricity and triangulated triangles. Philips Res. Reports 30: 205–219.Google Scholar
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    Duijvestijn, A. J. W. 1978. Simple perfect squared square of lowest order. J. Combinatorial Theory В 25: 240–243.CrossRefGoogle Scholar
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    Sprague, R. 1939. Beispiel einer Zerlegung des Quadrats in lauter verschiedene Quadrate. Math. Zeitschrift 45: 607.CrossRefGoogle Scholar
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    Tutte, W. T. 1948. The dissection of equilateral triangles into equilateral triangles. Proc. Cambridge Phil. Soc., 44: 463–482.CrossRefGoogle Scholar
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    Tutte, W. T. 1961. Squaring the square. In The 2nd Scientific American Book of Mathematical Puzzles and Diversions, ed. Martin Gardner. New York: Simon and Schuster.Google Scholar
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    Tutte, W. T. 1973. Duality and trinity. Colloquia Mathematica Societatis Janos Bolyai. 10: 1459–1472.Google Scholar
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    Tutte, W. T. 1976. The rotor effect with generalized electrical flows. Ars Combinatoria 1: 3–31.Google Scholar

Copyright information

© Wadsworth International 1981

Authors and Affiliations

  • W. T. Tutte
    • 1
  1. 1.University of WaterlooCanada

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