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Going one Better in Geometric Dissections

Published online by Cambridge University Press:  03 November 2016

H. Lindgren
H. Lindgren*
Affiliation:
Patent office, Canberra
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Extract

Methods have been described that facilitate the discovery of economical dissections. They are summarized in §§ 1 and 2 that follow.

1. Each of the figures to be dissected is made an element of a strip with parallel sides; 1 and 2 show strips formed from a Latin or tau cross and a pentagon. The first is a P-strip (prototype parallelogram), in which all elements are the same way up. The second is a T-strip (prototype trapezium), in which alternate ones are inverted. Points such as A and B in 1 are called congruent, a term copied from Whittaker and Watson's Modern Analysis, p. 430.

Type
Research Article
Information
The Mathematical Gazette , Volume 45 , Issue 352 , May 1961 , pp. 94 - 97
Copyright
Copyright © Mathematical Association 1961

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References

1. Lindgren, H., “Geometric Dissections”, Australian Mathematics Teacher, 7 (1951) 7–10, 9 (1953) 17–21 and 64 (out of print). Also 16 (1960) 64–5.Google Scholar
2. Dudeney, H. E., Amusements in Mathematics, No. 144.Google Scholar
3. Dudeney, H. E., A Puzzle-mine, (a) No. 176, (b) No. 178.Google Scholar
4. Dudeney, H. E., Puzzles and Curious Problems, No. 181.Google Scholar
5. Dudeney, H. E., The Canterbury Puzzles, No. 26.Google Scholar
6. Steinhaus, H., Mathematical Snapshots, (a) p. 1, (b) p. 62.Google Scholar
7. Ball, W. W. R., Mathematical Recreations, (a) pp. 92, 93, (b) p. 107.Google Scholar
8. Amer, Math. Monthly, 64 (1957) 368–9. Scientific American, June, 1960, p. 168.Google Scholar