Patchwork Quilt

Patchwork Quilt, Section 103. Copyright © 1994 Robert M. Storwick. All Rights Reserved.

This work is based on the 26th order, 500-unit compound perfect square discovered by Pasquale J. Federico, mathematician and a long-time employee of the United States Patent and Trademark Office. See, especially, COMPOUND PERFECT SQUARES, Can. J. Math., January 1982, by A.J.W. Duijvestijn, P.J. Federico, and P. Leeuw.

A 26th order, 500-unit perfect square is a square, 500 units on a side, which can be filled exactly by 26 other non-overlapping squares, all of different sizes. The example shown is a compound perfect square because at least one proper subset of its filling squares forms a subrectangle (in this case, three subrectangles - see lower left-hand corner).

Among Mr. Federico's many accomplishments is his pivotal role in the development of the 1952 revision of the United States patent law. See, COMMENTARY ON THE NEW PATENT ACT, by P.J. Federico, Commentary, 35 U.S.C. (1952), republished in the Journal of the Patent Office Society, March 1993.

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Maintained by Robert M. Storwick. Copyright © 1994-1995 Robert M. Storwick. All Rights Reserved.Any comments or suggestions gratefully received -

Last updated on 20 October 1995.