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John Sahr  
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 More options Apr 10 1990, 2:02 pm
Newsgroups: rec.puzzles, sci.math
From: jo...@calvin.spp.cornell.edu (John Sahr)
Date: 10 Apr 90 15:44:41 GMT
Local: Tues, Apr 10 1990 11:44 am
Subject: Re: Paper puzzle
In article <Aa88F1m00Ws9Q3t...@andrew.cmu.edu> rf...@andrew.cmu.edu (Randolph James Finder) writes:

>Just off the top of my head 5.5" is not optimal. You can do at least 7
>2/3 " by putting two squares of that size next to each other and
>turning them so that the diagonals of each square run H & V.

>Randolph Finder
>rf...@andrew.cmu.edu

>"And yet I would give it all up to be human" - Lt. Cmdr Data

This would be a wondrous solution indeed.

The area of an 8.5x11 piece of paper is 93.5;

The area of 2  7 2/3 sided squares is 117 5/9.

I believe that the original question is equivalent to "what is the
largest square that will fit into a trapzeoid constructed by drawing a
(straight) line through the center of an 8.5x11 rectangle."  Among
other limits, such a square certainly cannot have a side longer than
hypot(5.5, 4.25), which is 7.10633...

--
John Sahr,                   | Electrical Engineering - Space Plasma Physics
jo...@alfven.spp.cornell.edu | Cornell University,         Ithaca, NY  14853


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