perplexus.info :: Shapes : Checkerboard Dissection

Checkerboard Dissection (Posted on 2009-11-23)

A 5x5 square has a checkerboard pattern. I want to divide the square into pieces to form a 4x4 and a 3x3 square. Both smaller squares will retain the checkerboard pattern.

Find a four piece division of the 5x5 square that will accomplish this.

Find a five piece division which accomplishes the task without needing to flip or rotate any of the pieces.

Submitted by Brian Smith

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Solution: (Hide)

My solutions are below. Others can be found in the comments.

Problem 1
+--+--+--+--+--+ +--+--+--+--+ +--+--+--+ |## ## |##| |## ## | |##| ##| + + + + + + + + + + + + +--+--+ | ## ##| | | ## ##| | ## | +--+ + + + + +--+ + + + + + + + |##| ## |##| |##| ## | |## ##| + +--+--+--+ | + +--+--+--+ +--+--+--+ | ## |## | | ## ##| + + + +--+--+ +--+--+--+--+ |## ##| ##| +--+--+--+--+--+
Problem 2
+--+--+--+--+--+ +--+--+--+--+ +--+--+--+ |## ## |##| |## ## | |## ##| + + + + + + + + + + + + + + + | ## ##| | | ## ##| | ## | +--+--+--+ +--+ +--+--+--+ + + + + + |## ##| |##| |## |##| | |## ##| + + + +--+--+ + + + +--+ +--+--+--+ | ## |## | | ##| |##| + + + + + + +--+--+--+--+ |## ##| ##| +--+--+--+--+--+

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solutions	Dej Mar	2009-11-24 01:47:37
Solutions and Explorations	brianjn	2009-11-23 19:24:31
Hmmmm... -- better solution?	Charlie	2009-11-23 15:55:00

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