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Dissections of triangles into five similar triangles

Published online by Cambridge University Press:  01 August 2016

C. A. Jones ,
P. Jones  and
A. B. Bolt
C. A. Jones
Affiliation:
Dept. of Mathematics, University of Exeter EX4 4QE
P. Jones
Affiliation:
8, Mill Road, Exeter EX2 6LH
A. B. Bolt
Affiliation:
31, Exe Vale Road, Exeter EX2 6LF
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Extract

The problem of dissecting a square into squares of unequal sizes has been extensively discussed in the recreational mathematics literature (see for example), but the dissection of triangles appears not to have received so much attention; there are however a number of naturally occurring problems in the dissection of triangles into triangles. The problem we considerhere is the dissection of triangles into five similar triangles; the component triangles must be similar to each other, but may or may not be similar to the original triangle.

Type
Articles
Information
The Mathematical Gazette , Volume 82 , Issue 494 , July 1998 , pp. 225 - 234
Copyright
Copyright © The Mathematical Association 1998

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References

1. Gardner, M. More Mathematical Puzzles and Diversions, Penguin (1961).Google Scholar
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