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Mrs Perkins's quilt

Published online by Cambridge University Press:  24 October 2008

J. H. Conway
J. H. Conway
Affiliation:
Gonville and Caius College, Cambridge
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Extract

In this paper we consider the problem of dividing a square of side N into squares of integral side. When we demand that these be unequal, the problem is soluble only for certain N, and has been treated in some detail by various authors (1,3,4,5). If we relax this condition, every side is permissible, for a square of side N may plainly be divided into N2 squares of side 1. It is the object of this paper to reduce this number: in fact we shall show that a square of side N is divisible into some number less than 6 ∛N + 1 squares of integral side.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 363 - 368
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

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