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Conference rusure::math

Title:	Mathematics at DEC

Moderator:	RUSURE::EDP

Created:	Mon Feb 03 1986
Last Modified:	Fri Jun 06 1997
Last Successful Update:	Fri Jun 06 1997
Number of topics:	2083
Total number of notes:	14613

84.0. "a related dissection" by METOO::YARBROUGH () Mon Jun 25 1984 15:42

			Another Puzzle
			By Lynn Yarbrough

The fourth son in the previous puzzle didn't like the size of his share
of the land, so he hired a lawyer to fight the will. The laywer accepted as
his fee one tenth of the fourth son's share off one corner of the land, and
got the three older sons to agree to redivide the land according to the
stipulations. Was the fourth son any happier with the result of this
division?

T.R Title User Personal
Name Date Lines

84.1 Here's a hint for this one AKQJ10::YARBROUGH I prefer Pi Tue Nov 01 1988 17:22 15

T.R	Title	User	Personal Name	Date	Lines
84.1	Here's a hint for this one	AKQJ10::YARBROUGH	I prefer Pi	`Tue Nov 01 1988 17:22`	15
	Hint: In this case, knowing that a square corner will be taken at the end allows the dissections to take the form: +----------+ \| \| \| \| \| \| \| +--+ \| \| ++ +-------+-+? Now the shape is determined by the fact that the square taken by the lawyer is 1/10th the smallest hexagonal piece...

Hint:


In this case, knowing that a square corner will be taken at the end allows 
the dissections to take the form:
	+----------+
	|          |
	|          |
	|          |
	|       +--+
	|       | ++
	+-------+-+?

Now the shape is determined by the fact that the square taken by the lawyer 
is 1/10th the smallest hexagonal piece...