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Visualising parallel divisions of space

Published online by Cambridge University Press:  22 September 2016

Jean J. Pedersen
Jean J. Pedersen*
Affiliation:
Department of Mathematics, University of Santa Clara, Santa Clara, Ca. 95053, USA
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Extract

The content of this article seems not only to have appeal for, but also to be well within the problem-solving capabilities of, many students of elementary geometry. No new results are cited (see [1]) but the concepts are presented differently, providing a viable and concrete means of explaining elementary partitions of space.

Type
Research Article
Information
The Mathematical Gazette , Volume 62 , Issue 422 , December 1978 , pp. 250 - 262
Copyright
Copyright © Mathematical Association 1978

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References

1. Steiner, J., Einige Gezetze über die Theilung der Ebene und des Raumes, J. reine angew. Math. 1, 349–364 (1826).Google Scholar
2. Cundy, H. Martyn, Antiprism frameworks, Mathl Gaz. 61, 182–187 (No. 417, October 1977).Google Scholar
3. Kerr, Jeanne W. and Wetzel, John E., Platonic divisions of space, Mathematics Magazine (to appear).Google Scholar
4. Alfred, Brother U. (Brousseau), A mathematician’s progress, Mathematics Teacher 59, 722–727 (1966).Google Scholar
5. Ball, W. W. Rouse, revised by Coxeter, H. S. M., Mathematical recreations and essays (11th edn), pp. 144–146. Macmillan (1939).Google Scholar
6. Cundy, H. Martyn and Rollett, A. P., Mathematical models (2nd edn), pp. 90–94. Oxford University Press (1973).Google Scholar
7. Wenninger, Magnus J., Polyhedron models, pp. 34-40. Cambridge University Press (1971).Google Scholar
8. Coxeter, H. S. M., Regular polytopes. Methuen (1948).Google Scholar
9. Coxeter, H. S. M., Val, P. du, Flather, H. T. and Petrie, J. F., The fifty-nine icosahedra. University of Toronto Studies.Google Scholar
10. Pedersen, Jean J., Platonic solids from strips and clips, The Australian Mathematics Teacher 40 (4), 130–133 (1974).Google Scholar
11. Pólya, George, Induction and analogy in mathematics, Vol. 1 of Mathematics and plausible reasoning, pp. 43–52. Princeton University Press (1954).Google Scholar