Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-11T22:10:47.366Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Gardner, M. More Mathematical Puzzles and Diversions, Penguin (1961).Google Scholar
2. Soifer, A. How does one cut up a triangle?, Center for Excellence in Mathematical Education, Colorado Springs (1990).Google Scholar
3. Francis, D. Puzzles and teasers for everyone, Elliot Right Way Books (1974).Google Scholar