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Constructions with a rigid compass

Published online by Cambridge University Press:  22 September 2016

H. T. Croft  and
T. W. Körner
H. T. Croft
Affiliation:
Peterhouse, Cambridge
T. W. Körner
Affiliation:
Trinity Hall, Cambridge
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Extract

This article is addressed to anyone who has ever doodled idly with a fixed compass on a blank sheet of paper. Perhaps he has drawn a circle centre O, picked a point P1 on it, drawn a circle centre P1 intersecting the original circle at P2 and P3, drawn a circle centre P2 producing two new points of intersection, slowly building up an interlacing hexagonal pattern II of points each a distance at least R from each other. Then he has picked some point P* not of II, and drawn a circle centre P*, and almost immediately the pretty pattern has been replaced by a jumble of intersections apparently covering the whole of the paper.

Type
Research Article
Information
The Mathematical Gazette , Volume 62 , Issue 420 , June 1978 , pp. 85 - 89
Copyright
Copyright © Mathematical Association 1978 

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References

1. Graham, R., Problem 48, Proceedings of the 1963 Number Theory Conference, Boulder, Colorado, 100.Google Scholar