perplexus.info :: Shapes : Rectangles and U Pentominos

Rectangles and U Pentominos (Posted on 2016-03-08)

If a figure can be tiled by N 2x3 rectangles it is trivial to place the same number of U pentominoes in that figure.

Find the smallest N such that at least N+1 U pentominos can be placed in a figure tiled by N 2x3 rectangles.

Submitted by Brian Smith

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Solution: (Hide)

The smallest value of N is 9.

The figure tiled with 2x3 rectangles A-I:
AABB AABB FFGG AABBEEFFGG CCDDEEFFGG CCDDEEHHII CCDD HHII HHII
The figure with 10 U-pentominos J-S placed in it with X at empty spaces.
XJJJ KJKJ PPPX KKKNNNPQPQ LLLNONOQQQ LMLMOOORRR XMMM SRSR SSSX

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

Subject	Author	Date
re(2): posible solution 2	Brian Smith	2016-03-10 00:07:34
re: posible solution 2	Jer	2016-03-09 18:05:13
posible solution 2	armando	2016-03-09 17:47:22
Possible solution.	Jer	2016-03-09 09:44:32

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