# Squares

• Sep 5th 2008, 05:41 PM
Obsidantion
Squares
Squares; the sequel to http://www.mathhelpforum.com/math-he...5-circles.html:

Can you position all of the 16 different squares in the following 4x4 grid in accordance with the 13 statements bellow?

http://i204.photobucket.com/albums/b...resandGrid.png

#1. The spotted grey square and the spotted blue square are in the same row.
#2. The plain yellow square is somewhere to the left of the spotted red square in the same row.
#3. The plain grey square is one position above the spotted red square.
#4. The plain grey square is somewhere to the left of the plain white square in the same row.
#5. The plain blue square and the spotted grey square are in the same column.
#6. The striped grey square and the plain green square are in the same row.
#7. There are two spotted squares and two striped squares in the bottom row.
#8. The spotted blue square and the spotted green square are both in the furthest left column.
#9. The two top corners of the grid are both occupied by red squares.
#10. The spotted yellow square is in the top row.
#11. The striped blue square and the striped red square are immediately next to each other in the same row.
#12. The striped yellow square is one position bellow the plain green square.
#13. The plain yellow square and the spotted yellow square are in the same column.

Additional comment: all the squares must occupy a position in the grid with no more then one square in any one position.
• Sep 20th 2009, 08:14 AM
Obsidantion
Nobody did this :(.

*Bump*
• Sep 21st 2009, 11:34 AM
Wilmer
Numbering them; plain, spotted, striped order:
red: 1,2,3 ; blue: 4,5,6 ; green: 7,8,9 ; yellow: 10,11,12 ; grey: 13,14,15 ; white: 16

01, 11, 06, 03
08, 13, 16, 04
15, 10, 07, 02
05, 09, 12, 14
• Sep 30th 2009, 04:38 AM
Obsidantion
Quote:

Originally Posted by Wilmer
Numbering them; plain, spotted, striped order:
red: 1,2,3 ; blue: 4,5,6 ; green: 7,8,9 ; yellow: 10,11,12 ; grey: 13,14,15 ; white: 16

01, 11, 06, 03
08, 13, 16, 04
15, 10, 07, 02
05, 09, 12, 14

The only statement that your proposed solution doesn't accord with is "#3. The plain grey square is one position above the spotted red square."
• Sep 30th 2009, 05:05 AM
Wilmer
Well, as far as I'm concerned, I have plain-grey ONE row above spotted-red,
so that's same as ONE position above; you did NOT state "in same column".
So my solution is correct according to your wording (or lack of it).

The fact that you used "immediately" in this condition:
"#11. The striped blue square and the striped red square are immediately next to each other in the same row."
but did not use "immediately" in this condition:
""#3. The plain grey square is one position [immediately] above the spotted red square."
is good enough to prove my point.
• Oct 1st 2009, 08:38 AM
Obsidantion
Quote:

Originally Posted by Wilmer
Well, as far as I'm concerned, I have plain-grey ONE row above spotted-red,
so that's same as ONE position above; you did NOT state "in same column".
So my solution is correct according to your wording (or lack of it).

The fact that you used "immediately" in this condition:
"#11. The striped blue square and the striped red square are immediately next to each other in the same row."
but did not use "immediately" in this condition:
""#3. The plain grey square is one position [immediately] above the spotted red square."
is good enough to prove my point.

Sorry for the lack of clarity.
• Dec 2nd 2009, 07:55 PM
phrontister
Squares
Hi! I quite enjoyed that!

Here's an image of my solution and Excel worksheet. I hope I managed to satisfy all the statements.

I also had a go at clarifying the wording, and my attempt is included in the image. While solving the puzzle I noticed that for statement #3 it's not necessary to be told how far the plain grey square is above the spotted red square, and so I altered the wording there.

(Happy)