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(The Bride's Chair)2

Published online by Cambridge University Press:  23 January 2015

Nick Lord ,
John Rigby  and
Douglas Quadling
Nick Lord
Affiliation:
Tonbridge School, Tonbridge, Kent TN9 1JP
John Rigby
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG
Douglas Quadling
Affiliation:
12 Archway Court, Barton Road, Cambridge CB3 9LW
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Extract

This story begins in Nick Lord's workshop session at the Joined Up Mathematics conference at Keele in April 2008. He had decided to talk about Figure 1 and the results concerning it featured in [1]. He was also having an interesting e-mail exchange with Douglas Rogers, who pointed out that iterating such constructions twice produced a triangle homothetic to the original. The exchange focused on the analogous iterated Vecten configuration which John Mason recently discussed in [2]; but Nick could not see a similarly quick argument for the results in [1], which he thus set as a ‘homework problem’ for the workshop participants.

Type
Articles
Information
The Mathematical Gazette , Volume 94 , Issue 530 , July 2010 , pp. 239 - 246
Copyright
Copyright © The Mathematical Association 2010

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References

1. Lord, Nick, Similarity properties of the Bride's Chair, Math. Gaz. 91 (July 2007) pp.328–331.Google Scholar
2. Mason, John, Flanking figures, Math. in School 37(1) (January 2008) pp.28–29.Google Scholar
3. Webster, Roger, Bride's Chair revisited, Math. Gaz. 78 (November 1994) pp. 345–346.Google Scholar
4. Johnson, R. A., Advanced Euclidean geometry, Dover (1960, reprinted 2007).Google Scholar
5. Kimberling, C., Encyclopedia of triangle centres, http://faculty.evansville.edu/ck6/encyclopedia/ETC.html Google Scholar
6. Shail, Ron, Some properties of Brocard points, Math. Gaz. 80 (November 1996) pp. 485–491.Google Scholar